考虑服务公平性的定制公交动态响应方案

doi:10.13229/j.cnki.jdxbgxb20210368

Abstract

Abstract:

An instant demand-responsive scheme for the customized bus（CB） is proposed， which enables vehicles to flexibly adjust routes according to the immediate needs of passengers during operation. A node insertion algorithm is developed to consider practical issues， such as late passenger handling and profit calculation. The implementation of "passenger waiting for bus" mechanism and consideration of passenger acceptable waiting time reduce the occurrence of passenger's bus-missing. In addition， strictly preventing the active rejection of loading can also ensure the fairness of CB service. The proposed model and algorithm are verified by a numerical example based on the CB network of Xiong'an district， Hebei province. The results show that the instant demand-responsive scheme can effectively deal with the situation of passengers being late under the premise of guaranteeing the CB system profit and meanwhile satisficing passengers' service time window.

Key words: engineering of communication and transportation system, customized bus, demand response, route planning, knot insertion algorithm

CLC Number:

U491

Yi-ran WANG,Jing-xu CHEN,Yue-ping WANG,Jin-biao HUO,Zhi-yuan LIU. Instant demand⁃responsive scheme for customized bus considering service fairness[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(11): 2574-2581.

Figures/Tables 7

Fig.1

Fig.2

Table 1

Table 2

Requests information of passengers"

乘客ID	$t p$	$o p$	$d p$	$t o p$	$t d p$	$t o p'$
1	8∶02∶26	23	11	8∶14∶02	8∶24∶30	8∶15∶02
2	8∶03∶20	31	1	8∶18∶40	8∶30∶39
3	8∶03∶21	8	1	8∶16∶19	8∶21∶57
4	8∶03∶29	8	1	8∶16∶19	8∶26∶57
5	8∶05∶07	27	1	8∶12∶32	8∶22∶46
6	8∶05∶26	33	11	8∶11∶50	8∶20∶35
7	8∶05∶34	23	1	8∶21∶11	8∶37∶39
8	8∶06∶06	27	11	8∶10∶20	8∶20∶35	8∶14∶20
9	8∶06∶23	18	6	8∶17∶01	8∶30∶23
10	8∶06∶44	11	1	8∶12∶27	8∶25∶39	8∶17∶27
11	8∶08∶32	11	1	8∶12∶27	8∶25∶39
12	8∶08∶36	33	1	8∶10∶52	8∶30∶38	8∶10∶52
13	8∶09∶53	20	1	8∶16∶33	8∶37∶39
14	8∶10∶03	8	1	8∶12∶33	8∶20∶09
15	8∶10∶38	23	11	8∶14∶02	8∶24∶30
16	8∶11∶05	8	1	8∶15∶00	8∶35∶24	08∶19∶00
17	8∶11∶37	7	36	8∶15∶49	8∶24∶58	08∶15∶49
18	8∶11∶38	8	1	8∶20∶37	8∶26∶06
19	8∶12∶24	8	1	8∶20∶37	8∶26∶06
20	8∶13∶19	1	5	8∶17∶51	8∶23∶07
21	8∶13∶30	35	1	8∶19∶46	8∶36∶19	08∶19∶46
22	8∶15∶22	38	12	8∶20∶25	8∶28∶40
23	8∶17∶24	39	32	8∶25∶56	8∶50∶48
24	8∶19∶14	38	6	8∶30∶47	8∶44∶31
25	8∶20∶57	1	5	8∶22∶46	8∶28∶09	08∶25∶46

Table 2

Table 3

Table 4

Fig.3

References 13

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线路ID	途径站点	到达时间	离开时间	服务乘客
1	18	-	08∶12∶38	［1， 2， 3， 4］
	23	08∶14∶02	08∶14∶32
	8	08∶16∶29	08∶16∶59
	31	08∶18∶32	08∶19∶10
	11	08∶19∶23	08∶19∶53
	1	08∶24∶46	08∶25∶16
2	27	-	08∶13∶02	［5， 12］
	33	08∶13∶19	08∶13∶49
	1	08∶16∶44	08∶17∶14
3	27	-	08∶11∶32	［6， 8］
	33	08∶11∶50	08∶12∶20
	1	08∶14∶45	08∶15∶15
4	18	-	08∶16∶19	［7， 13， 15］
	20	08∶16∶33	08∶17∶03
	23	08∶18∶14	08∶21∶41
	11	08∶23∶58	08∶24∶28
	1	08∶29∶21	08∶29∶51
5	18	-	08∶17∶31	［9］
5	6	08∶20∶27	08∶20∶57	［9］
6	17	-	08∶09∶42	［10， 11， 14］
	8	08∶12∶33	08∶13∶03
	11	08∶14∶27	08∶14∶57
	1	08∶19∶19	08∶19∶49

线路ID	途径站点序列	服务乘客编号	误车乘客编号	收益（￥）
1	［18， 23， 8， 8， 35， 31， 1， 1， 1］	［2， 3， 4］	［1， 21］	8.35+4
2	［27， 27， 33， 1， 1］	［5， 12］		4.39
3	［27， 27， 33， 38， 8， 8， 11， 12， 1， 1］	［6， 18， 19， 22］	［8］	6.34+2
4	［18， 20， 23， 23， 11，1， 1］	［7， 13， 15］		8.70
5	［18， 18， 6］	［9］		1.53
6	［17， 8， 8， 11， 11， 7， 1， 1， 1， 1， 5， 5， 36， 39， 38， 6， 32］	［11， 14， 17， 20， 23， 24， 25］	［10， 16］	18.96+4

算法	（误车/拒绝服务乘客数）/人	乘客平均等待时间/min	运营总收益/元	计算耗时/s
本文方案	78	4.1	1895.47	0.91
车辆服务水平最优	106	3.6	1637.49	1.57
乘客出行时间最小化	142	2.2	1573.64	0.79

Instant demand⁃responsive scheme for customized bus considering service fairness

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