Integer programming formulations for the time-dependent elementary shortest path problem with resource constraints

The impact of congestion in transportation has become one of the main concerns regarding urban planing in large cities. Time-Dependent Vehicle Routing Problems (TDVRPs) is the name given to a broad family of VRPs that explicitly incorporate the congestion by considering variable travel times. In thi...

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Autor principal: Lera-Romero, G.
Otros Autores: Miranda-Bront, J.J
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Elsevier B.V. 2018
Acceso en línea:Registro en Scopus
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100 1 |a Lera-Romero, G. 
245 1 0 |a Integer programming formulations for the time-dependent elementary shortest path problem with resource constraints 
260 |b Elsevier B.V.  |c 2018 
506 |2 openaire  |e Política editorial 
504 |a Dabia, S., Ropke, S., van Woensel, T., Kok, T.D., Branch and price for the time-dependent vehicle routing problem with time windows (2013) Transportation Science, 47, pp. 380-396 
504 |a Gendreau, M., Ghiani, G., Guerriero, E., Time-dependent routing problems: A review (2015) Computers & Operations Research, 64, pp. 189-197 
504 |a Ichoua, S., Gendreau, M., Potvin, J.-Y., Vehicle dispatching with time-dependent travel times (2003) European journal of operational research, 144, pp. 379-396 
504 |a Jepsen, M.K., Petersen, B., Spoorendonk, S., Pisinger, D., A branch-and-cut algorithm for the capacitated profitable tour problem (2014) Discrete Optimization, 14, pp. 78-96 
504 |a Montero, A., Méndez-Díaz, I., Miranda-Bront, J.J., An integer programming approach for the time-dependent traveling salesman problem with time windows (2017) Computers & Operations Research, 88, pp. 280-289 
504 |a Sun, P., Veelenturf, L.P., Dabia, S., Woensel, T.V., The time-dependent capacitated profitable tour problem with time windows and precedence constraints (2018) European Journal of Operational Research, 264, pp. 1058-1073 
504 |a Taccari, L., Integer programming formulations for the elementary shortest path problem (2016) European Journal of Operational Research, 252, pp. 122-130 
520 3 |a The impact of congestion in transportation has become one of the main concerns regarding urban planing in large cities. Time-Dependent Vehicle Routing Problems (TDVRPs) is the name given to a broad family of VRPs that explicitly incorporate the congestion by considering variable travel times. In this paper we study the Time-Dependent Elementary Shortest Path Problem with Resource Constraints (TDESPPRC), that appears as the pricing sub-problem in column generation-based approaches for TDVRPs. We consider two integer programming formulations which exploit the characteristics of the time-dependent travel time function and are evaluated on benchmark instances. On preliminary computational experiments, the approach is able to effectively solve instances with up to 25 vertices in reasonable times, showing its potential to be used within a Branch and Price algorithm. © 2018 Elsevier B.V.  |l eng 
593 |a Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, CABA, Argentina 
593 |a Universidad Torcuato Di Tella, Consejo Nacional de Investigaciones Científicas y Técnicas, CABA, Argentina 
690 1 0 |a ELEMENTARY SHORTEST PATH 
690 1 0 |a INTEGER PROGRAMMING 
690 1 0 |a TIME-DEPENDENT TRAVEL TIMES 
700 1 |a Miranda-Bront, J.J. 
773 0 |d Elsevier B.V., 2018  |g v. 69  |h pp. 53-60  |p Electron. Notes Discrete Math.  |x 15710653  |t Electronic Notes in Discrete Mathematics 
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