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MaaS_game_link_fare_systemopt.py
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MaaS_game_link_fare_systemopt.py
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import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from gurobipy import *
import warnings
warnings.filterwarnings('ignore')
import copy
import sympy as sp
from scipy.optimize import minimize
from scipy.optimize import LinearConstraint
import scipy.optimize
import time
import timeit
import numpy as np
import ctypes
import copy
from Cost_allo_sub_link_systemopt import pre_process_intsol, cost_allo_prep, cost_allo, subsidy_stablize, cost_allo_sub
from ctypes import cdll
lib = cdll.LoadLibrary('./foo.so')
cpp_dijkstra = lib.cpp_dijkstra
# _doublepp = np.ctypeslib.ndpointer(dtype=np.uintp, ndim=1, flags='C')
cpp_dijkstra.argtypes = [
np.ctypeslib.ndpointer(dtype=ctypes.c_float, ndim=1),
ctypes.c_int,
np.ctypeslib.ndpointer(dtype=ctypes.c_float, ndim=1),
np.ctypeslib.ndpointer(dtype=ctypes.c_int, ndim=1),
ctypes.c_int
]
####################################################################################################
####################################################################################################
####################################################################################################
def b_and_b(PRINT, num_iter, tolerance, FW_tol, FW_conver_times, t_coef, c_coef, d, orig, dest, cap, b, oper_cost, V_coef, utility, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, link_from_to, a_alllink, a_MODlink, a_fixedlink, a_translink, transin_oper, MOD_nodes, nodes, MODnode_oper, MODnode_ori, MODoper_node_ori, MODnode, MODoper, MODoper_Acce, outflow_link, inflow_link, dummy_link, oper_list):
ttl_cost_best = np.inf
node_count = 0
## branch & bound
v_h_close = dict()
for nodee in MOD_nodes:
v_h_close[nodee] = []
for nodee in MOD_nodes:
h_nodee = nodee%10
oper_nodee = MODnode_oper[nodee]
for nodeee in MOD_nodes:
h_nodeee = nodeee%10
oper_nodeee = MODnode_oper[nodeee]
if h_nodeee != h_nodee and oper_nodee == oper_nodeee:
v_h_close[nodee].append(nodeee)
## solve the root node
y_fixed_1 = []
y_fixed_0 = []
v_fixed_1 = []
v_fixed_0 = []
node_count +=1
print("Root node solving......(node", node_count,")")
start_t = time.time()
link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b = network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link)
flows_link, flows_path, y_sol, v_sol, path_set, dual_p = single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link, link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
obj_yv_value = obj_yv(t_coef, c_coef, flows_link, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility)
end_t = time.time()
print("Root node solved. Obj =",obj_yv_value, "Time = ", np.round((end_t-start_t)/60), "min", (end_t-start_t)%60, "sec")
# save the node in the queue
flows_link_queue = [flows_link]
flows_path_queue = [flows_path]
y_sol_queue = [y_sol]
v_sol_queue = [v_sol]
obj_yv_queue = [obj_yv_value]
y_bran_1_queue = [[]]
y_bran_0_queue = [[]]
v_bran_1_queue = [[]]
v_bran_0_queue = [[]]
for ite in range(9999999999999):
# select the first node in queue to branch from
y_sol = y_sol_queue[0]
v_sol = v_sol_queue[0]
print("Node selected: ")
print("y:", y_sol)
print("v:", v_sol)
# select y/v to branch (for one node, fixed)
y_selected = 0
v_selected = 0
for links in link_fixed:
link_ind = a_fixedlink.index(links)
if y_sol[link_ind] %1 != 0: # NOT integer
branch = links
y_selected = 1
print('Fixed link selected to branch:', branch, (y_sol[link_ind]))
break
if y_selected == 0:
for nodee in list(MOD_nodes):
node_ind = list(MOD_nodes).index(nodee)
if v_sol[node_ind] %1 != 0: # NOT integer
branch = nodee
v_selected = 1
print('MOD node selected to branch:', branch, (v_sol[node_ind]))
break
# new branch sets
if y_selected == 1:#branch from y
## branch node 1 (1)
y_fixed_1 = list(np.sort(np.unique(y_bran_1_queue[0]+[branch])))
y_fixed_0 = y_bran_0_queue[0]
v_fixed_1 = v_bran_1_queue[0]
v_fixed_0 = v_bran_0_queue[0]
print('----- Branch 1 (y - 1) -----')
print('y_1:',y_fixed_1)
print('y_0:',y_fixed_0)
print('v_1:',v_fixed_1)
print('v_0:',v_fixed_0)
# check if it's in the queue
solve_branch = 1
if y_fixed_1 in y_bran_1_queue:
queue_ind = y_bran_1_queue.index(y_fixed_1)
if y_bran_0_queue[queue_ind] == y_fixed_0 and v_bran_1_queue[queue_ind] == v_fixed_1 and v_bran_0_queue[queue_ind] == v_fixed_0:
print("Branch already in queue!")
solve_branch = 0
if solve_branch == 1:
# solve the node
node_count +=1
print("Branch solving...... (node", node_count,")")
start_t = time.time()
link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b= network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link)
flows_link, flows_path, y_sol, v_sol, path_set, dual_p = single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link, link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
obj_yv_value = obj_yv(t_coef, c_coef, flows_link, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility)
end_t = time.time()
print("Branch solved. obj_yv_value = ", obj_yv_value, "Time = ", np.round((end_t-start_t)/60), "min", (end_t-start_t)%60, "sec")
# check if it's integer solution
integer_sol = 1
for iii in y_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 1:
for iii in v_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 0 and obj_yv_value < ttl_cost_best: #not integer sol, save in the queue
print("NOT INTEGER SOL & better than current best! saved in queue")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_queue.append(flows_link)
flows_path_queue.append(flows_path)
y_sol_queue.append(y_sol)
v_sol_queue.append(v_sol)
obj_yv_queue.append(obj_yv_value)
y_bran_1_queue.append(y_fixed_1)
y_bran_0_queue.append(y_fixed_0)
v_bran_1_queue.append(v_fixed_1)
v_bran_0_queue.append(v_fixed_0)
elif integer_sol == 1: # integer solution
# cost allocation
path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys = pre_process_intsol(flows_link, flows_path, y_sol, v_sol, path_set, dual_p, link, link_fixed, MODnode_ori, MODoper_node_ori, MODnode, MODoper, dummy_link, d)
tt, cst, volume, users, operated, route, operators, path_set_node, new_routes, oper, user_paths, path_flow, belong, count, lst, link_to_path, operators_in_path, operators_vol_path, path_hash = cost_allo_prep(path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys,link, dummy_link, d, link_Acce, MODoper, oper_list, t_coef, c_coef)
feasi, stability_path_set, p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo(x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if feasi == 0: #if unstable
subsidy_feasi, subsidy_obj, S_path = subsidy_stablize(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if subsidy_feasi == 1:
p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo_sub(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper,t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt, S_path)
ttl_cost = subsidy_obj + obj_yv_value
print("UNSTABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
else:
ttl_cost = 9999999999
else:
ttl_cost = obj_yv_value
subsidy_obj = 0
S_path = []
print("STABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
if ttl_cost < ttl_cost_best: # better than current best
print("INTEGER SOL & better than current best! replace current best")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_best = flows_link
flows_path_best = flows_path
y_best = y_sol
v_best = v_sol
obj_best = obj_yv_value
ttl_cost_best = ttl_cost
subsidy_obj_best = subsidy_obj
dual_p_best = dual_p
path_set_best = path_set
p_user_opt_best = p_user_opt
u_user_opt_best = u_user_opt
p_oper_opt_best = p_oper_opt
u_oper_opt_best = u_oper_opt
S_path_best = S_path
y_fixed_1_best = y_fixed_1
y_bran_0_best = y_fixed_0
v_bran_1_best = v_fixed_1
v_bran_0_best = v_fixed_0
## branch node 2 (0)
y_fixed_1 = y_bran_1_queue[0]
y_fixed_0 = list(np.sort(np.unique(y_bran_0_queue[0]+[branch])))
v_fixed_1 = v_bran_1_queue[0]
v_fixed_0 = v_bran_0_queue[0]
print('----- Branch 2 (y - 0) -----')
print('y_1:',y_fixed_1)
print('y_0:',y_fixed_0)
print('v_1:',v_fixed_1)
print('v_0:',v_fixed_0)
# check if it's in the queue
solve_branch = 1
if y_fixed_1 in y_bran_1_queue:
queue_ind = y_bran_1_queue.index(y_fixed_1)
if y_bran_0_queue[queue_ind] == y_fixed_0 and v_bran_1_queue[queue_ind] == v_fixed_1 and v_bran_0_queue[queue_ind] == v_fixed_0:
print("Branch already in queue!")
solve_branch = 0
if solve_branch == 1:
# solve the node
node_count +=1
print("Branch solving......(node", node_count,")")
start_t = time.time()
link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b= network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link)
flows_link, flows_path, y_sol, v_sol, path_set, dual_p = single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link, link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
obj_yv_value = obj_yv(t_coef, c_coef, flows_link, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility)
end_t = time.time()
print("Branch solved. obj_yv_value = ", obj_yv_value, "Time = ", np.round((end_t-start_t)/60), "min", (end_t-start_t)%60, "sec")
# check if it's integer solution
integer_sol = 1
for iii in y_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 1:
for iii in v_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 0 and obj_yv_value < ttl_cost_best: #not integer sol, save in the queue
print("NOT INTEGER SOL & better than current best! saved in queue")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_queue.append(flows_link)
flows_path_queue.append(flows_path)
y_sol_queue.append(y_sol)
v_sol_queue.append(v_sol)
obj_yv_queue.append(obj_yv_value)
y_bran_1_queue.append(y_fixed_1)
y_bran_0_queue.append(y_fixed_0)
v_bran_1_queue.append(v_fixed_1)
v_bran_0_queue.append(v_fixed_0)
elif integer_sol == 1: # integer solution
# cost allocation
path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys = pre_process_intsol(flows_link, flows_path, y_sol, v_sol, path_set, dual_p, link, link_fixed, MODnode_ori, MODoper_node_ori, MODnode, MODoper, dummy_link, d)
tt, cst, volume, users, operated, route, operators, path_set_node, new_routes, oper, user_paths, path_flow, belong, count, lst, link_to_path, operators_in_path, operators_vol_path, path_hash = cost_allo_prep(path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys,link, dummy_link, d, link_Acce, MODoper, oper_list, t_coef, c_coef)
feasi, stability_path_set, p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo(x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if feasi == 0: #if unstable
subsidy_feasi, subsidy_obj, S_path = subsidy_stablize(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if subsidy_feasi == 1:
p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo_sub(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper,t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt, S_path)
ttl_cost = subsidy_obj + obj_yv_value
print("UNSTABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
else:
ttl_cost = 9999999999
else:
ttl_cost = obj_yv_value
subsidy_obj = 0
S_path = []
print("STABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
if ttl_cost < ttl_cost_best: # better than current best
print("INTEGER SOL & better than current best! replace current best")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_best = flows_link
flows_path_best = flows_path
y_best = y_sol
v_best = v_sol
obj_best = obj_yv_value
ttl_cost_best = ttl_cost
subsidy_obj_best = subsidy_obj
dual_p_best = dual_p
path_set_best = path_set
p_user_opt_best = p_user_opt
u_user_opt_best = u_user_opt
p_oper_opt_best = p_oper_opt
u_oper_opt_best = u_oper_opt
S_path_best = S_path
y_fixed_1_best = y_fixed_1
y_bran_0_best = y_fixed_0
v_bran_1_best = v_fixed_1
v_bran_0_best = v_fixed_0
else: #branch from v
## branch node 1 (1)
branch_1 = [branch]
branch_0 = v_h_close[branch]
y_fixed_1 = y_bran_1_queue[0]
y_fixed_0 = y_bran_0_queue[0]
v_fixed_1 = list(np.sort(np.unique(v_bran_1_queue[0]+branch_1)))
v_fixed_0 = list(np.sort(np.unique(v_bran_0_queue[0]+branch_0)))
print('----- Branch 1 (v - 1) -----')
print('y_1:',y_fixed_1)
print('y_0:',y_fixed_0)
print('v_1:',v_fixed_1)
print('v_0:',v_fixed_0)
# check if it's in the queue
solve_branch = 1
if y_fixed_1 in y_bran_1_queue:
queue_ind = y_bran_1_queue.index(y_fixed_1)
if y_bran_0_queue[queue_ind] == y_fixed_0 and v_bran_1_queue[queue_ind] == v_fixed_1 and v_bran_0_queue[queue_ind] == v_fixed_0:
print("Branch already in queue!")
solve_branch = 0
if solve_branch == 1:
# solve the branch
node_count +=1
print("Branch solving......(node", node_count,")")
start_t = time.time()
link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b= network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link)
flows_link, flows_path, y_sol, v_sol, path_set, dual_p = single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link, link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
obj_yv_value = obj_yv(t_coef, c_coef, flows_link, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility)
end_t = time.time()
print("Branch solved. obj_yv_value = ", obj_yv_value, "Time = ", np.round((end_t-start_t)/60), "min", (end_t-start_t)%60, "sec")
# check if it's integer solution
integer_sol = 1
for iii in y_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 1:
for iii in v_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 0 and obj_yv_value < ttl_cost_best: #not integer sol, save in the queue
print("NOT INTEGER SOL & better than current best! saved in queue")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_queue.append(flows_link)
flows_path_queue.append(flows_path)
y_sol_queue.append(y_sol)
v_sol_queue.append(v_sol)
obj_yv_queue.append(obj_yv_value)
y_bran_1_queue.append(y_fixed_1)
y_bran_0_queue.append(y_fixed_0)
v_bran_1_queue.append(v_fixed_1)
v_bran_0_queue.append(v_fixed_0)
elif integer_sol == 1: # integer solution
# cost allocation
path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys = pre_process_intsol(flows_link, flows_path, y_sol, v_sol, path_set, dual_p, link, link_fixed, MODnode_ori, MODoper_node_ori, MODnode, MODoper, dummy_link, d)
tt, cst, volume, users, operated, route, operators, path_set_node, new_routes, oper, user_paths, path_flow, belong, count, lst, link_to_path, operators_in_path, operators_vol_path, path_hash = cost_allo_prep(path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys,link, dummy_link, d, link_Acce, MODoper, oper_list, t_coef, c_coef)
feasi, stability_path_set, p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo(x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if feasi == 0: #if unstable
subsidy_feasi, subsidy_obj, S_path = subsidy_stablize(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if subsidy_feasi == 1:
p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo_sub(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt, S_path)
ttl_cost = subsidy_obj + obj_yv_value
print("UNSTABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
else:
ttl_cost = 9999999999
else:
ttl_cost = obj_yv_value
subsidy_obj = 0
S_path = []
print("STABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
if ttl_cost < ttl_cost_best: # better than current best
print("better than current best! replace current best")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_best = flows_link
flows_path_best = flows_path
y_best = y_sol
v_best = v_sol
obj_best = obj_yv_value
ttl_cost_best = ttl_cost
subsidy_obj_best = subsidy_obj
dual_p_best = dual_p
path_set_best = path_set
p_user_opt_best = p_user_opt
u_user_opt_best = u_user_opt
p_oper_opt_best = p_oper_opt
u_oper_opt_best = u_oper_opt
S_path_best = S_path
y_fixed_1_best = y_fixed_1
y_bran_0_best = y_fixed_0
v_bran_1_best = v_fixed_1
v_bran_0_best = v_fixed_0
## branch node 2 (0)
branch_0 = [branch]
y_fixed_1 = y_bran_1_queue[0]
y_fixed_0 = y_bran_0_queue[0]
v_fixed_1 = v_bran_1_queue[0]
v_fixed_0 = list(np.sort(np.unique(v_bran_0_queue[0]+branch_0)))
print('----- Branch 2 (v - 0) -----')
print('y_1:',y_fixed_1)
print('y_0:',y_fixed_0)
print('v_1:',v_fixed_1)
print('v_0:',v_fixed_0)
# check if it's in the queue
solve_branch = 1
if y_fixed_1 in y_bran_1_queue:
queue_ind = y_bran_1_queue.index(y_fixed_1)
if y_bran_0_queue[queue_ind] == y_fixed_0 and v_bran_1_queue[queue_ind] == v_fixed_1 and v_bran_0_queue[queue_ind] == v_fixed_0:
print("Branch already in queue!")
solve_branch = 0
if solve_branch == 1:
# solve the node
node_count +=1
print("Branch solving......(node", node_count,")")
start_t = time.time()
link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b= network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link)
flows_link, flows_path, y_sol, v_sol, path_set, dual_p = single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link, link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
obj_yv_value = obj_yv(t_coef, c_coef, flows_link, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility)
end_t = time.time()
print("Branch solved. obj_yv_value = ", obj_yv_value, "Time = ", np.round((end_t-start_t)/60), "min", (end_t-start_t)%60, "sec")
# check if it's integer solution
integer_sol = 1
for iii in y_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 1:
for iii in v_sol:
if iii%1 != 0:
integer_sol = 0
break
if integer_sol == 0 and obj_yv_value < ttl_cost_best: #not integer sol, save in the queue
print("NOT integer sol & better than current best! saved in queue")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_queue.append(flows_link)
flows_path_queue.append(flows_path)
y_sol_queue.append(y_sol)
v_sol_queue.append(v_sol)
obj_yv_queue.append(obj_yv_value)
y_bran_1_queue.append(y_fixed_1)
y_bran_0_queue.append(y_fixed_0)
v_bran_1_queue.append(v_fixed_1)
v_bran_0_queue.append(v_fixed_0)
elif integer_sol == 1: # integer solution
# cost allocation
path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys = pre_process_intsol(flows_link, flows_path, y_sol, v_sol, path_set, dual_p, link, link_fixed, MODnode_ori, MODoper_node_ori, MODnode, MODoper, dummy_link, d)
tt, cst, volume, users, operated, route, operators, path_set_node, new_routes, oper, user_paths, path_flow, belong, count, lst, link_to_path, operators_in_path, operators_vol_path, path_hash = cost_allo_prep(path_set, flows_path, dual, y, v, h_sol_MOD, h_sol, h, x_sol, x_sol_, out_of_sys,link, dummy_link, d, link_Acce, MODoper, oper_list, t_coef, c_coef)
feasi, stability_path_set, p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo(x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if feasi == 0: #if unstable
subsidy_feasi, subsidy_obj, S_path = subsidy_stablize(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt)
if subsidy_feasi == 1:
p_user_opt, u_s_user_opt, u_user_opt, p_oper_opt, u_s_oper_opt, u_oper_opt = cost_allo_sub(stability_path_set, x_sol, path_set, d, out_of_sys, utility, MODoper, MODnode, MODnode_oper, t_coef, c_coef, oper_list, flows_link, operators, link, link_fixed, link_trans, link_MOD, link_Acce, link_Egre, dummy_link, link_from_to, path_flow, a_MODlink, a_fixedlink, a_translink, new_routes, V_coef, MODoper_Acce, orig, dest, user_paths, operators_in_path, nodes, dual, y, v, h, tt, S_path)
ttl_cost = subsidy_obj + obj_yv_value
print("UNSTABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
else:
ttl_cost = 9999999999
else:
ttl_cost = obj_yv_value
subsidy_obj = 0
S_path = []
print("STABLE INTEGER SOL! obj = ", obj_yv_value, "subsidy = ", subsidy_obj)
if ttl_cost < ttl_cost_best: # better than current best
print("INTEGER SOL & better than current best! replace current best")
print('obj_yv_value = ',obj_yv_value,'ttl_cost_best = ', ttl_cost_best)
flows_link_best = flows_link
flows_path_best = flows_path
y_best = y_sol
v_best = v_sol
obj_best = obj_yv_value
ttl_cost_best = ttl_cost
subsidy_obj_best = subsidy_obj
dual_p_best = dual_p
path_set_best = path_set
p_user_opt_best = p_user_opt
u_user_opt_best = u_user_opt
p_oper_opt_best = p_oper_opt
u_oper_opt_best = u_oper_opt
S_path_best = S_path
y_fixed_1_best = y_fixed_1
y_bran_0_best = y_fixed_0
v_bran_1_best = v_fixed_1
v_bran_0_best = v_fixed_0
# remove the node
flows_link_queue = flows_link_queue[1:]
flows_path_queue = flows_path_queue[1:]
y_sol_queue = y_sol_queue[1:]
v_sol_queue = v_sol_queue[1:]
obj_yv_queue = obj_yv_queue[1:]
y_bran_1_queue = y_bran_1_queue[1:]
y_bran_0_queue = y_bran_0_queue[1:]
v_bran_1_queue = v_bran_1_queue[1:]
v_bran_0_queue = v_bran_0_queue[1:]
# rank the queues wrt obj_yv_queue from min to max, remove the ones worse than the current best
flows_link_queue = rank_by_obj(flows_link_queue, obj_yv_queue, ttl_cost_best)
flows_path_queue = rank_by_obj(flows_path_queue, obj_yv_queue, ttl_cost_best)
y_sol_queue = rank_by_obj(y_sol_queue, obj_yv_queue, ttl_cost_best)
v_sol_queue = rank_by_obj(v_sol_queue, obj_yv_queue, ttl_cost_best)
y_bran_1_queue = rank_by_obj(y_bran_1_queue, obj_yv_queue, ttl_cost_best)
y_bran_0_queue = rank_by_obj(y_bran_0_queue, obj_yv_queue, ttl_cost_best)
v_bran_1_queue = rank_by_obj(v_bran_1_queue, obj_yv_queue, ttl_cost_best)
v_bran_0_queue = rank_by_obj(v_bran_0_queue, obj_yv_queue, ttl_cost_best)
obj_yv_queue = sorted(obj_yv_queue)
obj_yv_queue = [i for i in obj_yv_queue if i < ttl_cost_best]
if len(obj_yv_queue) == 0:
print('QUEUE EMPTY!!')
print("Current best (subsidy included)= ", ttl_cost_best)
print("total number of nodes solved: ",node_count)
break
else:
print('Queue length = ',len(obj_yv_queue))
print("---------------")
return flows_link_best, flows_path_best, y_best, v_best, obj_best, ttl_cost_best, subsidy_obj_best, dual_p_best, path_set_best, p_user_opt_best, u_user_opt_best, p_oper_opt_best, u_oper_opt_best, S_path_best
####################################################################################################
####################################################################################################
####################################################################################################
def rank_by_obj(sol, obj, threshold):
sol_obj = [(i,j) for i,j in zip(sol, obj)]
sol_obj_sorted = sorted(sol_obj, key=lambda x:x[-1])
sol_sorted = [i[0] for i in sol_obj_sorted if i[-1]<threshold]
return sol_sorted
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def network_branch(y_fixed_0, v_fixed_0, d, link, link_fixed, link_trans, link_Acce, link_MOD, link_Egre, transin_oper, MOD_nodes, nodes, outflow_link, inflow_link, dummy_link):
link_b = link.copy()
link_fixed_b = link_fixed.copy()
link_Acce_b = link_Acce.copy()
link_MOD_b = link_MOD.copy()
link_Egre_b = link_Egre.copy()
transin_oper_b = transin_oper.copy()
MOD_nodes_b = MOD_nodes.copy()
nodes_b = nodes.copy()
outflow_link_b = outflow_link.copy() #####
inflow_link_b = inflow_link.copy() #####
for links in y_fixed_0:
del link_b[links]
del link_fixed_b[links]
for nodee in v_fixed_0:
MOD_nodes_b = np.delete(MOD_nodes_b, np.argwhere(MOD_nodes_b == nodee))
nodes_b.pop(nodes_b.index(nodee))
for links in outflow_link[nodee]:
if links in link_b:
del link_b[links]
if links in link_Acce_b:
del link_Acce_b[links]
del transin_oper_b[links]
if links in link_MOD_b:
del link_MOD_b[links]
if links in link_Egre_b:
del link_Egre_b[links]
for links in inflow_link[nodee]:
if links in link_b:
del link_b[links]
if links in link_Acce_b:
del link_Acce_b[links]
del transin_oper_b[links]
if links in link_MOD_b:
del link_MOD_b[links]
if links in link_Egre_b:
del link_Egre_b[links]
# Assignment matching problem
outflow=dict()
inflow=dict()
outflow_link_b=dict()
inflow_link_b=dict()
for i in link_b:
a=link_b[i]['start']
bb=link_b[i]['end']
if bb in inflow:
inflow[bb].append(link_b[i]['start'])
inflow_link_b[bb].append(i)
else:
inflow[bb]=[link_b[i]['start']]
inflow_link_b[bb]=[i]
if a in outflow:
outflow[a].append(link_b[i]['end'])
outflow_link_b[a].append(i)
else:
outflow[a]=[link_b[i]['end']]
outflow_link_b[a]=[i]
for i in nodes_b:
if i not in inflow:
inflow[i]={}
inflow_link_b[i]=[]
if i not in outflow:
outflow[i]={}
outflow_link_b[i]=[]
a_alllink_b = list(link_b.keys())
a_fixedlink_b = list(link_fixed_b.keys())
a_translink_b = list(link_trans.keys())
a_MODlink_b = list(link_MOD_b.keys())
a_transinlink_b = list(link_Acce_b.keys())
a_transoutlink_b = list(link_Egre_b.keys())
link_node_b = np.zeros((len(link_b)-len(d),4))
for links in link_b:
link_id = a_alllink_b.index(links)
if links not in dummy_link:
link_row = np.array([int(links), int(link_b[links]['start']), int(link_b[links]['end']), link_b[links]['capacity']])
link_node_b[link_id,:]=link_row
# Build N dict
N_b = {}
for i in nodes_b:
N_b[int(i)] = []
for i in range(len(link_node_b)):
N_b[int(link_node_b[i,1])].append(int(link_node_b[i,2]))
link_from_to_b = dict()
for i in link_b:
if i not in dummy_link:
link_from_to_b[(link_b[i]['start'], link_b[i]['end'])] = i
return link_b,link_fixed_b,link_Acce_b,link_MOD_b,link_Egre_b,transin_oper_b,MOD_nodes_b,nodes_b,outflow_link_b,inflow_link_b,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_node_b,N_b,link_from_to_b
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def single_branch(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_translink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link,link_fixed_b,link_fixed, link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,MOD_nodes, transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b):
q, times, path_set, gamma_record, beta_record, tau_record, lamda_record, miu_record, adj_link_cost_record, x_sp_record = subgrad_opt(PRINT,y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0, num_iter, tolerance,FW_tol,FW_conver_times,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,cap,b,oper_cost,link_b,link_fixed_b,link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,transin_oper_b,outflow_link_b,inflow_link_b,V_coef, utility,N_b,link_from_to_b,link_node_b)
adj_link_cost = adj_link_cost_record[-1]
x_sp = x_sp_record[-1]
gamma = gamma_record[-1]
beta = beta_record[-1]
tau = tau_record[-1]
flows_link, flows_path, y_sol, v_sol = flow_yv_finding(t_coef, c_coef, y_fixed_1, y_fixed_0, v_fixed_1, v_fixed_0,tolerance, path_set, adj_link_cost, x_sp, gamma, beta, tau, orig, dest, d, a_alllink_b, a_fixedlink_b, a_translink_b, a_MODlink_b, a_transinlink_b, dummy_link, link_b, link, link_fixed_b, link_fixed, nodes_b, MOD_nodes_b,MOD_nodes, outflow_link_b, b, cap,N_b,link_from_to_b)
dual_p_od = np.zeros((len(d),len(link_fixed_b)))
for s in range(len(d)):
dual_p_od[s,:] = gamma+beta[:,s].T
dual_p = []
for linkk in link_fixed:
if linkk in link_fixed_b:
link_ind = a_alllink_b.index(linkk)
dual_p.append(max(dual_p_od[:, link_ind]))
else:
dual_p.append(0)
return flows_link, flows_path, y_sol, v_sol, path_set, dual_p
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def Dijkstra_cpp(nodes_b, O, D, graph):
V = len(nodes_b)
graph = np.array(graph, dtype='float32')
graph_reshape = graph.reshape(1, graph.shape[0]*graph.shape[1])[0]
dist = [0]*V
dist = np.array(dist, dtype='float32')
prev_node = [0]*V
prev_node = np.array(prev_node, dtype='int32')
##############
cpp_dijkstra(graph_reshape, O, dist, prev_node, V, D)
##############
path_node_ind = []
for i in range(V):
sub_path_node = [i]
prev = prev_node[i]
while prev != -1:
sub_path_node.append(prev)
prev = prev_node[prev]
# sub_path_node.append(source)
path_node_ind.append(sub_path_node[::-1])
return path_node_ind, dist
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def FW(PRINT,path_set,adj_link_cost,FW_tol,FW_conver_times,x_int,t_coef, c_coef,a_alllink_b,a_fixedlink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_b,link_fixed_b,link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b,transin_oper_b,V_coef, utility,N_b,link_from_to_b,link_node_b):
x = x_int.copy()
# if PRINT == 1:
# print("-----Initial x-----")
# plot(x)
cost_adj = adj_link_cost[0:-2,:].T
for i in link_Acce_b:
link_ind = a_alllink_b.index(i)
h = link_b[i]['fleet size']
for k in range(len(orig)):
cost_adj[k,link_ind] = 2*t_coef[link_b[i]['operator']]/(h**2)*(sum(x)[link_ind]) ######### marginal cost
count = 0
# t_eq_sum = 0
# t_sol_sum = 0
for iii in range(1000):
# if PRINT == 1:
# print("Iteration",iii)
Y, path_set = solve_for_Y_vbounded(PRINT,path_set,cost_adj,a_alllink_b,a_fixedlink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_b,link_fixed_b,link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b, N_b, link_from_to_b,link_node_b, utility)
# if PRINT == 1:
# print("-----Y-----")
# plot(Y)
sol_start = time.time()
alpha, t_eq, t_sol = find_alpha_der_0(PRINT,adj_link_cost, t_coef, c_coef, a_alllink_b, Y, x, d, link_b, link_fixed_b, link_trans, link_MOD_b, link_Acce_b, link_Egre_b, dummy_link, MOD_nodes_b, transin_oper_b, V_coef, utility)
x = x+alpha*(Y-x)
x = x.astype(float)
# t_eq_sum += t_eq
# t_sol_sum += t_sol
# if PRINT == 1:
# print("-----x-----")
# plot(x)
for i in link_Acce_b:
link_ind = a_alllink_b.index(i)
h = link_b[i]['fleet size']
# print(i, (link_b[i]['start'],link_b[i]['end']), cost_adj[:,link_ind])
for k in range(len(orig)):
cost_adj[k,link_ind] = 2*t_coef[link_b[i]['operator']]/(h**2)*(sum(x)[link_ind]) ## marginal cost
adj_link_cost[link_ind,k] = t_coef[link_b[i]['operator']]/(h**2)*(sum(x)[link_ind])
# print(i, (link_b[i]['start'],link_b[i]['end']), cost_adj[:,link_ind])
# print(" ")
if alpha < FW_tol:
count += 1
if count >= FW_conver_times:
break
else:
count = 0
x_sp = x
# print("Equation time:", t_eq_sum)
# print("Solving time:", t_sol_sum)
# print("FW iterations:", iii)
return x_sp, path_set
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def obj(t_coef, c_coef, x, d, adj_link_cost, a_alllink_b, link_b, link_trans,link_fixed_b, link_MOD_b, link_Acce_b, link_Egre_b, dummy_link, MOD_nodes_b, transin_oper_b, V_coef, utility):
objective = 0
for s in range(len(d)):
for i in link_b:
link_id = a_alllink_b.index(i)
if i in link_fixed_b:
objective += x[s,link_id] * adj_link_cost[link_id,s]
elif i in link_trans:
objective += x[s,link_id] * link_b[i]['travel cost']
elif i in link_MOD_b:
h = link_b[i]['fleet size']
objective += x[s,link_id] * (adj_link_cost[link_id,s] + c_coef[link_b[i]['operator']] * h**2)
elif i in dummy_link:
objective += utility[s]*x[s,link_id]
for i in transin_oper_b:
link_id = a_alllink_b.index(i)
h = link_b[i]['fleet size']
sum_x = 0
for s in range(len(d)):
sum_x += x[s,link_id]
objective += t_coef[link_b[i]['operator']]/(h**2) * sum_x**2
########################
return objective
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def obj_yv(t_coef, c_coef, flows, y_sol, v_sol, d, a_alllink_b, link, link_fixed, link_trans, link_MOD, dummy_link, MOD_nodes, transin_oper, V_coef, utility):
objective = 0
for s in range(len(d)):
for i in link_fixed:
objective += flows[s,i] * link[i]["travel cost"]
for i in link_trans:
objective += flows[s,i] * link[i]["travel cost"]
for i in link_MOD:
h = link[i]['fleet size']
objective += flows[s,i] * (link[i]["travel cost"] + c_coef[link[i]['operator']]*h**2)
for i in dummy_link:
objective += utility[s]*flows[s,i]
for i in transin_oper:
h = link[i]['fleet size']
sum_x = sum(flows[:,i])
objective += t_coef[link[i]['operator']]/(h**2) * sum_x**2
for i in link_fixed:
objective += y_sol[i] * link[i]["operating cost"]
for i in MOD_nodes:
nodee_ind = list(MOD_nodes).index(i)
objective += V_coef[i]*v_sol[nodee_ind]
########################
return objective
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def Dijkstra(N,c_int,O,D,nodes_b,link_node_b):
c = c_int.copy()
######################### Dijkstra's Algorithm ###########################
w = np.ones((len(N)))*np.inf #w
p_node = np.ones((len(N)))*(-1) #p_node
p_link = np.ones((len(N)))*(-1) #p_link
index_list = ["o"]*len(N) #open/closed
index = np.asarray(index_list)
df = pd.DataFrame({"w": w,"p_node": p_node,"p_link": p_link,"Open/Closed": index})
#Origin
df['Open/Closed'][nodes_b.index(O)] = 'c'
df['w'][nodes_b.index(O)] = 0
current = O
#iterate
for j in range(100000):
ds = N[current] #obtain the downstream nodes
for s in ds: # update w and p for all downstream nodes
if df['w'][nodes_b.index(current)] + c[nodes_b.index(current),nodes_b.index(s)] < df['w'][nodes_b.index(s)]:
# print((current,s),df['w'][nodes_b.index(current)], "+", c[nodes_b.index(current),nodes_b.index(s)], "<", df['w'][nodes_b.index(s)])
df['p_node'][nodes_b.index(s)] = current
# print([current,s])
# print(link_node_b)
for e in range(len(link_node_b)):
if (link_node_b[e,1:3]==[current,s]).all():
linkk = link_node_b[e,0]
df['p_link'][nodes_b.index(s)] = linkk
df['w'][nodes_b.index(s)] = min(df['w'][nodes_b.index(s)], df['w'][nodes_b.index(current)] + c[nodes_b.index(current),nodes_b.index(s)])
#find the next starting point
df_open = df[df['Open/Closed'] == 'o']
current = nodes_b[df_open.loc[df_open['w']== min(df_open['w'])].index[0]]
#close the current node
df['Open/Closed'][nodes_b.index(current)] = 'c'
#see if we reached the Destination
if df['Open/Closed'][nodes_b.index(D)] == 'c':
break
#Get the nodes of the path
N_a = []
Link_a = []
for s in range(10000000):
if s == 0:
n = D
n_link = df['p_link'][nodes_b.index(n)]
else:
n = df['p_node'][nodes_b.index(n)]
if (n != -1):
if (df['p_link'][nodes_b.index(n)]!= -1):
n_link = df['p_link'][nodes_b.index(n)]
if n == -1:
break
N_a.append(n)
Link_a.append(n_link)
# print(N_a)
path_node = list(np.flip(N_a))
path_link = list(np.flip(Link_a[:-1]))
#get the path length
path_len = 0
for i in range(len(path_node)-1):
# print("link:",path[i],path[i+1])
path_len = path_len + c_int[nodes_b.index(path_node[i]),nodes_b.index(path_node[i+1])]
return path_node, path_link, path_len
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def solve_for_Y_vbounded(PRINT,path_set,cost_adj,a_alllink_b,a_fixedlink_b,a_MODlink_b,a_transinlink_b,a_transoutlink_b,link_b,link_fixed_b,link_trans,link_MOD_b,link_Acce_b,link_Egre_b,dummy_link,orig,dest,d,nodes_b,MOD_nodes_b, N_b, link_from_to_b,link_node_b, utility):
x_fw = np.zeros((len(orig),len(link_b)))
# shortest finding
for od in range(len(orig)):
t_link_b = cost_adj[od,:]
# print(t_link_b)
# # Generate c from N and link_node
# c_int_b = np.ones((len(N_b),len(N_b))) * np.inf
# for i in range(len(N_b)):
# c_int_b[i,i] = 0
# for i in range(len(link_node_b)):
# links = link_node_b[i,0]
# link_id = a_alllink_b.index(links)
# start = link_node_b[i,1]
# end = link_node_b[i,2]
# # print(c_int_b.shape, len(nodes_b), len(t_link_b))
# if c_int_b[nodes_b.index(start), nodes_b.index(end)] > t_link_b[int(link_id)]:
# c_int_b[nodes_b.index(start), nodes_b.index(end)] = t_link_b[int(link_id)]
# Generate c from N and link_node
graph = np.ones((len(N_b),len(N_b)))*(-1)
for i in link_b:
if i not in dummy_link:
link_id = a_alllink_b.index(i)
links = i
start = link_b[i]['start']
end = link_b[i]['end']
# print(c_int_b.shape, len(nodes_b), len(t_link_b))
if graph[nodes_b.index(start), nodes_b.index(end)] > t_link_b[int(link_id)] and graph[nodes_b.index(start), nodes_b.index(end)]!=-1:
graph[nodes_b.index(start), nodes_b.index(end)] = t_link_b[int(link_id)]
if graph[nodes_b.index(start), nodes_b.index(end)]==-1:
graph[nodes_b.index(start), nodes_b.index(end)] = t_link_b[int(link_id)]
O = int(orig[od])
D = int(dest[od])
# path_node, path_link, path_len = Dijkstra(N_b,c_int_b,O,D,nodes_b,link_node_b)
# print(O,D)
# print(graph)
O_id = nodes_b.index(O)
D_id = nodes_b.index(D)
path_node_ind_lst, dist = Dijkstra_cpp(nodes_b, O_id, D_id, graph)
path_node_ind = path_node_ind_lst[D_id]