Computing strong lower and upper bounds for the integrated multiple-depot vehicle and crew scheduling problem with branch-and-price

In the problem of the title, vehicle and crew schedules are to be determined simultaneously in order to satisfy a given set of trips over time. The vehicles and the crew are assigned to depots, and a number of rules have to be observed in the course of constructing feasible schedules. The main contribution of the paper is a novel mathematical programming formulation which combines ideas from known models, and an exact solution procedure based on branch-and-price. The method is tested on benchmark instances from the literature and it provides suboptimal schedules using limited computational resources.

[1]  Péter Kovács,et al.  LEMON - an Open Source C++ Graph Template Library , 2011, WGT@ETAPS.

[2]  Tobias Achterberg,et al.  SCIP: solving constraint integer programs , 2009, Math. Program. Comput..

[3]  Jin-Kao Hao,et al.  Simultaneous Vehicle and Crew Scheduling for Extra Urban Transports , 2008, IEA/AIE.

[4]  Leena Suhl,et al.  A Crew Scheduling Approach for Public Transit Enhanced with Aspects from Vehicle Scheduling , 2008 .

[5]  Matteo Fischetti,et al.  The Fixed Job Schedule Problem with Spread-Time Constraints , 1987, Oper. Res..

[6]  Ingmar Steinzen,et al.  Topics in Integrated Vehicle and Crew Scheduling in Public Transport , 2007 .

[7]  Dennis Huisman,et al.  Integrated and Dynamic Vehicle and Crew Scheduling , 1999 .

[8]  Natalia Kliewer,et al.  An overview on vehicle scheduling models , 2009, Public Transp..

[9]  Leena Suhl,et al.  A time-space network based exact optimization model for multi-depot bus scheduling , 2006, Eur. J. Oper. Res..

[10]  G. Mitra,et al.  Integrated Decision Support Systems for Urban Transport Scheduling: Discussion of Implementation and Experience , 1988 .

[11]  Marta Mesquita,et al.  Set partitioning/covering-based approaches for the integrated vehicle and crew scheduling problem , 2008, Comput. Oper. Res..

[12]  Albert P. M. Wagelmans,et al.  Models and Algorithms for Vehicle Scheduling , 1995 .

[13]  L. Bodin.  ROUTING AND SCHEDULING OF VEHICLES AND CREWS–THE STATE OF THE ART , 1983 .

[14]  József Békési,et al.  An Integrated Framework for Bus Logistics Management: Case Studies , 2009 .

[15]  Knut Haase,et al.  An Exact Branch and Cut Algorithm for the Vehicle and Crew Scheduling Problem , 1999 .

[16]  Leena Suhl,et al.  A Time-Space Network Approach for the Integrated Vehicle- and Crew-Scheduling Problem with Multiple Depots , 2010, Transp. Sci..

[17]  Maddalena Nonato,et al.  An Integrated Approach to Extra-Urban Crew and Vehicle Scheduling* , 1998 .

[18]  Marta Mesquita,et al.  Branching approaches for integrated vehicle and crew scheduling , 2009, Public Transp..

[19]  D. M. Ryan,et al.  Express: Set Partitioning for Bus Crew Scheduling in Christchurch , 1992 .

[20]  Jacques Desrosiers,et al.  Simultaneous Vehicle and Crew Scheduling in Urban Mass Transit Systems , 1998, Transp. Sci..

[21]  Lawrence Bodin,et al.  A Matching Based Heuristic for Scheduling Mass Transit Crews and Vehicles , 1983 .

[22]  József Békési,et al.  Driver scheduling for vehicle schedules using a set covering approach: a case study , 2015 .

[23]  Albert P. M. Wagelmans,et al.  Models and Algorithms for Single-Depot Vehicle Scheduling , 2001, Transp. Sci..

[24]  Dennis Huisman,et al.  Models and Algorithms for Integration of Vehicle and Crew Scheduling , 2000, J. Sched..

[25]  Dennis Huisman,et al.  Multiple-Depot Integrated Vehicle and Crew Scheduling , 2003, Transp. Sci..

[26]  Alan A. Bertossi,et al.  On some matching problems arising in vehicle scheduling models , 1987, Networks.

[27]  Ioannis Patrikalakis,et al.  A New Decomposition Scheme of the Urban Public Transport Scheduling Problem , 1992 .

[28]  Ralf Borndörfer,et al.  A Bundle Method for Integrated Multi-Depot Vehicle and Duty Scheduling in Public Transit , 2008 .

[29]  E Tosini,et al.  AN INTERACTIVE SYSTEM FOR EXTRA-URBAN VEHICLE AND CREW SCHEDULING PROBLEMS , 1988 .

[30]  Samuel J. Raff,et al.  Routing and scheduling of vehicles and crews : The state of the art , 1983, Comput. Oper. Res..