Journal of Jilin University(Engineering and Technology Edition) ›› 2018, Vol. 48 ›› Issue (6): 1677-1684.doi: 10.13229/j.cnki.jdxbgxb20170543

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Recycling model of faulty bike sharing

CHANG Shan(),SONG Rui(),HE Shi-wei,LI Hao-dong,YIN Wei-chuan   

  1. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China
  • Received:2017-05-25 Online:2018-11-20 Published:2018-12-11

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Abstract:

Bike sharing is a new dockless public bicycle system based on the mobile Internet technology. The solution of recycling problem of faulty bikes can reduce the bike sharing company's operating costs. A recycling process model of the faulty bikes is proposed in this work. Firstly, a K-means algorithm is used to cluster faulty bikes to different service points. Then a model of faulty bikes recycling is present in order to minimize the total recycling costs. The optimization software Cplex is used to solve the model. Finally, a case study based on a certain area in Beijing is carried out to validate the proposed model. The results show that the value of loading capacity greatly affects the results of recycling, and that the model and method proposed can be applied effectively to the recycling of faulty bikes.

Key words: engineering of communication and transportation, bike sharing, faulty bikes recycling, public bicycle system, Cplex

CLC Number: 

  • U491

Fig.1

Multi-lever faulty bike share recycling network"

Fig.2

Flowchart of faulty bike share recycling"

Fig.3

Thermodynamic chart of bike share"

Fig.4

The SSE graph of K-means"

Fig.5

Schematic diagram of cluster centers by K-means"

Table 1

Clustering result of cluster centers by K-means"

序号 经纬度 共享单车/辆
1 116.312697°E, 39.976673°N 12
2 116.331015°E, 39.973789°N 29
3 116.328320°E, 39.982991°N 7
4 116.319399°E, 39.982194°N 20
5 116.335323°E, 39.983526°N 33
6 116.323458°E, 39.979507°N 21
7 116.325095°E, 39.971676°N 35
8 116.308566°E, 39.975907°N 24
9 116.331941°E, 39.968915°N 16
10 116.326312°E, 39.975648°N 23
11 116.315797°E, 39.986571°N 14
12 116.320677°E, 39.974414°N 10
13 116.334485°E, 39.976352°N 15
14 116.319400°E, 39.971287°N 7
15 116.311083°E, 39.971009°N 34

Table 2

Travel time matrix for each point min"

{0} 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
{0} 0 3 5 9 5 7 3 4 2 6 4 4 2 4 1 8
1 3 0 9 9 5 9 6 6 2 8 6 8 6 6 5 8
2 5 9 0 8 9 7 6 3 9 3 4 9 4 5 5 15
3 9 9 8 0 9 9 8 9 12 8 8 9 10 6 10 17
4 5 5 9 9 0 6 3 8 8 9 8 2 7 7 6 14
5 7 9 7 9 6 0 7 7 12 7 7 6 8 4 10 15
6 3 6 6 8 3 7 0 4 6 6 3 5 5 4 5 12
7 4 6 3 9 8 7 4 0 9 4 3 8 2 4 3 7
8 2 2 9 12 8 12 6 9 0 8 6 6 4 6 3 5
9 6 8 3 8 9 7 6 4 8 0 6 10 6 5 5 9
10 4 6 4 8 8 7 3 3 6 6 0 8 4 2 5 11
11 4 8 9 9 2 6 5 8 6 10 8 0 6 8 5 10
12 2 6 4 10 7 8 5 2 4 6 4 6 0 4 4 11
13 4 6 5 6 7 4 4 4 6 5 2 8 4 0 5 9
14 1 5 5 10 6 10 5 3 3 5 5 5 4 5 0 8
15 8 8 15 17 14 15 12 7 5 9 11 10 11 9 8 0

Table 3

Optimal result of Cplex"

车辆序号 回收车满载率/% 车辆到达的具体服务点 线路行程时间/min 总花费时间/min 总成本/元
1 87.5 0-8-15-1-0 18 88 710
2 92.5 0-12-7-2-0 12 86 610
3 97.5 0-10-6-4-11-0 16 94 710
4 97.5 0-13-5-3-9-14-0 31 109 1010
合计 - - 77 377 3040

Table 4

Comparison of calculation results"

车辆
容量		 发车数
/辆		 平均满
载率/%		 总线路行
程时间/min		 总花费时
间/min		 总成本
/元
60 6 无可行解
70 5 85.7 81 381 3120
80 4 93.8 77 377 3040
90 4 83.3 77 377 3040
100 3 无可行解
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