Volume 39 Issue 3
Jun.  2021
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CHEN Kejia, FANG Yunfei, LUO Jiayi. A Programming Model for the Flexible Multi-depot Heterogeneous Dial-a-ride Problems[J]. Journal of Transport Information and Safety, 2021, 39(3): 103-110. doi: 10.3963/j.jssn.1674-4861.2021.03.013
Citation: CHEN Kejia, FANG Yunfei, LUO Jiayi. A Programming Model for the Flexible Multi-depot Heterogeneous Dial-a-ride Problems[J]. Journal of Transport Information and Safety, 2021, 39(3): 103-110. doi: 10.3963/j.jssn.1674-4861.2021.03.013

A Programming Model for the Flexible Multi-depot Heterogeneous Dial-a-ride Problems

doi: 10.3963/j.jssn.1674-4861.2021.03.013
  • Received Date: 2020-07-18
  • A mathematical model of mixed-integer non-linear programming is firstly constructed to solve a new dial-a-ride problem(DARP), the multi-depot heterogeneous dial-a-ride problem with flexible depots(MDHDARP-FD), as well as minimize the total driving cost.Due to the complexity of the proposed model, some strategies of linearizing constraints, aggregating variables, and strengthening inequalities are performed to reformulate the non-linear model.During linearizing constraints, non-linear constraints are rewritten as equivalent linear constraints.Aggregating variables, decision variables with the same properties, are aggregated to reduce the number of variables, with strengthened inequalities and valid inequalities introduced to strengthen the model.As a result, a new linear programming model with a small solution space is obtained and can be tractable.Then the dial-a-ride problem is simulated by combining different vehicles and passengers'demands.Simulation results show that compared with the traditional dial-a-ride problems, the model can obtain a group of optimal vehicle routes respecting the complex constraints and reduce the total driving cost, vehicle driving time, and solution time.The total driving cost can be reduced by 1.51%to 6.69%for different DARPs on an average, verifying that the total driving cost of dial-a-ride problems can be reduced with the introduced flexible depots.

     

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  • [1]
    DAGANZO C F, OUYANG Y. A general model of demand-responsive transportation services: From taxi to ridesharing to dial-a-ride[J]. Transportation Research Part B: Methodological, 2019(126): 213-224. http://ideas.repec.org/a/eee/transb/v126y2019icp213-224.html
    [2]
    CÉLIA P, CRAMA Y, PIRONET T. Recovery management for a dial-a-ride system with real-time disruptions[J]. European Journal of Operational Research, 2020, 280(3): 953-969. doi: 10.1016/j.ejor.2019.08.006
    [3]
    HO S C, SZETO W Y, KUO Y H, et al. A survey of dial-a-ride problems: Literature review and recent developments[J]. Transportation Research Part B: Methodological, 2018(111): 395-421. http://www.sciencedirect.com/science/article/pii/S0191261517304484
    [4]
    孙博, 杨春风, 魏明, 等. 基于集对分析的随机需求接驳公交调度模型[J]. 交通信息与安全, 2018, 36(6): 130-134. doi: 10.3963/j.issn.1674-4861.2018.06.017

    SUN Bo, YANG Chunfeng, WEI Ming, et al. A scheduling model of shuttle buses for stochastic demand passengers based on set pair analysis[J]. Journal of Transport Information and Safety, 2018, 36(6): 130-134. (in Chinese). doi: 10.3963/j.issn.1674-4861.2018.06.017
    [5]
    孙继洋, 黄建玲, 陈艳艳, 等. 响应动态需求的灵活型公交路径优化调度模型[J]. 北京工业大学学报, 2021, 47(3): 269-279. https://www.cnki.com.cn/Article/CJFDTOTAL-BJGD202103009.htm

    SUN Jiyang, HUANG Jianling, CHEN Yanyan, et al. Flexible bus route optimal scheduling model in response to dynamic demand[J]. Journal of Beijing University of Technology, 2021, 47(3): 269-279. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BJGD202103009.htm
    [6]
    PARRAGH S N, DOERNER K F, HARTL R F. Variable neighborhood search for the dial-a-ride problem[J]. Computers & Operations Research, 2010, 37(6): 1129-1138. http://www.sciencedirect.com/science/article/pii/S030505480900241X
    [7]
    HÄME L. An adaptive insertion algorithm for the single-vehicle dial-a-ride problem with narrow time windows[J]. European Journal of Operational Research, 2011, 209(1): 11-22. doi: 10.1016/j.ejor.2010.08.021
    [8]
    PARRAGH S N, SCHMID V. Hybrid column generation and large neighborhood search for the dial-a-ride problem[J]. Computers & Operations Research, 2013, 40(1): 490-497. http://www.sciencedirect.com/science/article/pii/S0305054812001694
    [9]
    MUELAS S, LATORRE A, PEÑA J M. A distributed VNS algorithm for optimizing dial-a-ride problems in large-scale scenarios[J]. Transportation Research Part C: Emerging Technologies, 2015(54): 110-130. http://www.sciencedirect.com/science/article/pii/S0968090X15000790
    [10]
    RITZINGER U, PUCHINGER J, HARTL R F. Dynamic programming based metaheuristics for the dial-a-ride problem[J]. Annals of Operations Research, 2016, 236(2): 341-358. doi: 10.1007/s10479-014-1605-7
    [11]
    TRIPATHY T, NAGAVARAPU S C, AZIZIAN K, et al. Solving dial-a-ride problems using multiple ant colony system with fleet size minimisation[C]. 17th Annual UK Workshop on Computational Intelligence: Advances in Computational Intelligence Systems, Cardiff, UK: UKCI, 2017.
    [12]
    MASMOUDI M A, BRAEKERS K, MASMOUDI M, et al. A hybrid genetic algorithm for the heterogeneous dial-a-ride problem[J]. Computers & Operations Research, 2017, 81(C): 1-13. doi: 10.1016/j.cor.2016.12.008
    [13]
    CORDEAU J F. A branch-and-cut algorithm for the dial-a-ride problem[J]. Operations Research, 2006, 54(3): 573-586. doi: 10.1287/opre.1060.0283
    [14]
    ROPKES, LAPORTEG, CORDEAUJ F. Models andbranch-andcut algorithms for pickup and delivery problems with time windows[J]. Networks: An International Journal, 2007, 49(4): 258-272. doi: 10.5555/1276833.1276836
    [15]
    LIU M, LUO Z, LIM A. A branch-and-cut algorithm for a realistic dial-a-ride problem[J]. Transportation Research Part B: Methodological, 2015, 81(1): 267-288.
    [16]
    WONG K I, BELL M G H. Solution of the dial-a-ride problem with multi-dimensional capacity constraints[J]. International Transactions in Operational Research, 2006, 13(3): 195-208. doi: 10.1111/j.1475-3995.2006.00544.x
    [17]
    PARRAGH S N. Introducing heterogeneous users and vehicles into models and algorithms for the dial-a-ride problem[J]. Transportation Research Part C: Emerging Technologies, 2011, 19(5): 912-930. doi: 10.1016/j.trc.2010.06.002
    [18]
    PARRAGH S N, CORDEAU J F, DOERNER K F, et al. Models and algorithms for the heterogeneous dial-a-ride problem with driver-related constraints[J]. OR Spectrum, 2012, 34(3): 593-633. doi: 10.1007/s00291-010-0229-9
    [19]
    BRAEKERS K, CARIS A, JANSSENS G K. Exact and meta-heuristic approach for a general heterogeneous dial-a-ride problem with multiple depots[J]. Transportation Research Part B: Methodological, 2014(67): 166-186. http://www.sciencedirect.com/science/article/pii/S0191261514000800
    [20]
    BRAEKERS K, KOVACS A A. A multi-period dial-a-ride problem with driver consistency[J]. Transportation Research Part B: Methodological, 2016(94): 355-377. http://www.sciencedirect.com/science/article/pii/s0191261515301570
    [21]
    MOLENBRUCH Y, BRAEKERS K, AN C, et al. Multi-directional local search for a bi-objective dial-a-ride problem in patient transportation[J]. Computers & Operations Research, 2017, 77(C): 58-71. http://www.sciencedirect.com/science/article/pii/S0305054816301861
    [22]
    KEK A G H, CHEU R L, MENG Q, Distance-constrained capacitated vehicle routing problems with flexible assignment of start and end depots[J]. Mathematical and Computer Modelling, 2008(47): 140-152.
    [23]
    MARKOV I, VARONE S, BIERLAIRE M. Integrating a heterogeneous fixed fleet and a flexible assignment of destination depots in the waste collection VRP with intermediate facilities[J]. Transportation Research Part B: Methodological, 2016(84): 256-273.
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