基于效益-费用的高速公路货车差异化收费双层优化建模

doi:10.13229/j.cnki.jdxbgxb.20241380

Abstract

Abstract:

The different routes traffic flow was calculated and the travel cost function of the expressway was established through analyzing the operation expenditure of expressway and the travel choice willingness of truck drivers. The function is a two-level optimization model， and the upper layer planning selects the idea of road network managers pursuing maximizing the surplus of the network users and takes the financial indexes of the road operating enterprises as the constraints condition， the lower layer planning chooses the user equilibrium model under elastic demand to describe the travel choice behavior of road users. The genetic simulated annealing algorithm was used to solve the model. Finally， using the example verifies that the optimization scheme proposed by the thesis can improve the truck flow of the highway by 20.67%， and the toll revenue is improved by 5.88%， and the truck toll fee is reduced by 135600 yuan/day. It shows that the differentiated optimization of truck charging scheme researched in the thesis has a good application effect in practical implementation.

Key words: expressway, differential toll, two-layer optimization model, genetic simulated annealing algorithm, user equilibrium model

CLC Number:

U491

Hui-ling ZHANG,Jing-fan WANG,Yi-shuo CAO,Gu-chang AO. Two⁃layer optimization modelling on expressway differentiated tolling for trucks based on benefit⁃cost[J].Journal of Jilin University(Engineering and Technology Edition), 2026, 56(7): 1958-1969.

Figures/Tables 10

Fig.1

Fig.2

Fig.3

Table 1

Fuel consumption parameter coefficient in the highway"

车型	$a$	$b$	$c$	$e$	$τ 1$	$τ 2$
一类货车	0.002 7	-0.309 0	21.066 7	0.922 5	1.001 0	1.103 4
二类货车	0.005 7	-0.763 4	47.190 0	1.088 6	0.999 1	1.263 8
三类货车	0.022 4	-2.997 1	125.931 3	0.499 1	1.010 4	1.222 9
四类货车	0.014 0	-1.765 7	86.405 7	0.908 4	1.000 7	1.148 4
五类货车	0.013 7	-2.180 0	108.328 6	0.719 3	1.004 1	1.106 8
六类货车	0.014 6	-2.075 0	92.865 6	1.334 3	0.997 5	1.137 1

Table 1

Table 2

Table 3

Road basic parameters"

参数	路段编号
参数	1	2	3	4	5	6
$t a 0 / h$	0.30	0.30	0.71	0.71	0.95	0.95
$y a / [元 · (v e h · k m) - 1]$	0.54	0.54	0.40	0.40	-	-
$l a / k m$	23.90	23.90	56.93	56.93	76.06	76.06
$C a m a x / (v e h ? d - 1)$	25 000	25 000	30 000	30 000	30 000	30 000

Table 3

Table 4

Table 5

Table 6

Table 7

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OD对	起点-讫点	各车型交通出行需求/（veh·d^-1）
OD对	起点-讫点	一类	二类	三类	四类	五类	六类
1	合川-渝北	472	996	298	1 172	119	2 107
2	渝北-合川	436	919	275	1 081	110	1 945

各车型收费费率						上层目标函数值	长合高速公路货车交通量/（veh·d^-1）
一类	二类	三类	四类	五类	六类	上层目标函数值	长合高速公路货车交通量/（veh·d^-1）
0.504	0.906	1.664	2.056	2.471	2.743	10 108.81	4 779

路段	交通量/（veh·d^-1）
路段	一类	二类	三类	四类	五类	六类
1	245	517	155	608	62	1 093
2	226	477	143	561	57	1 009
3	245	517	155	608	62	1 093
4	226	477	143	561	57	1 009
5	229	479	145	563	56	1 013
6	211	442	134	520	52	935

研究方法	货车日均流量/（veh·d^-1）	道路利用率/%	货车通行费收入/（万元·d^-1）	货车通行费减免/（万元·d^-1）
传统方法	3 959	39.87	67.21	-
本文模型	4 779	48.13	71.16	13.56

Two⁃layer optimization modelling on expressway differentiated tolling for trucks based on benefit⁃cost

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