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Routing vehicles to minimize fuel consumption

Published: 01 November 2013 Publication History

Abstract

We consider a generalization of the capacitated vehicle routing problem known as the cumulative vehicle routing problem in the literature. Cumulative VRPs are known to be a simple model for fuel consumption in VRPs. We examine four variants of the problem, and give constant factor approximation algorithms. Our results are based on a well-known heuristic of partitioning the traveling salesman tours and the use of the averaging argument.

References

[1]
K. Altinkemer, B. Gavish, Heuristics for unequal weight delivery problems with a fixed error guarantee, Oper. Res. Lett., 6 (1987) 149-158.
[2]
K. Altinkemer, B. Gavish, Technical note-heuristics for delivery problems with constant error guarantees, Transportation Science, 24 (1990) 294-297.
[3]
S. Arora, Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems, J. ACM, 45 (1998) 753-778.
[4]
J.E. Beasley, Route first-cluster second methods for vehicle routing, Omega, 11 (1983) 403-408.
[5]
A. Blum, P. Chalasani, D. Coppersmith, W.R. Pulleyblank, P. Raghavan, M. Sudan, The minimum latency problem, in: STOC, 1994, pp. 163-171.
[6]
N. Christofides, Worst-case analysis of a new heuristic for the traveling salesman problem, Report 388, Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, PA, 1976.
[7]
G.B. Dantzig, J.H. Ramser, The truck dispatching problem, Manage. Sci., 6 (1959) 80-91.
[8]
E. Demir, T. Bektaş, G. Laporte, A comparative analysis of several vehicle emission models for road freight transportation, Transportation Research Part D: Transport and Environment, 16 (2011) 347-357.
[9]
B.L. Golden, A.A. Assad, Vehicle Routing: Methods and Studies, North-Holland, 1988.
[10]
M. Haimovich, A.H.G. Rinnooy Kan, Bounds and heuristics for capacitated routing problems, Math. Oper. Res., 10 (1985) 527-542.
[11]
İ. Kara, B.Y. Kara, M.K. Yetiş, Cumulative vehicle routing problems, in: Vehicle Routing Problem, I-Tech Education and Publishing KG, Vienna, Austria, 2008, pp. 85-98.
[12]
İ. Kara, B.K. Yetiş, K. Yetiş, Energy minimizing vehicle routing problem, in: LNCS, vol. 4616, 2007, pp. 62-71.
[13]
P. Klein, A linear-time approximation scheme for TSP in undirected planar graphs with edge-weights, SIAM J. Comput., 37 (2008) 1926-1952.
[14]
J.S.B. Mitchell, Guillotine subdivisions approximate polygonal subdivisions: a simple polynomial-time approximation scheme for geometric tsp, k -mst, and related problems, SIAM J. Comput., 28 (1999) 1298-1309.
[15]
R.H. Mole, D.G. Johnson, K. Wells, Combinatorial analysis for route first-cluster second vehicle routing, Omega, 11 (1983) 507-512.
[16]
P.W.G. Newman, B. Alimoradian, T.J. Lyons, Estimating fleet fuel consumption for vans and small trucks, Transportation Science, 23 (1989) 46-50.
[17]
B. Sahin, H. Yilmaz, Y. Ust, A.F. Guneri, B. Gulsun, An approach for analysing transportation costs and a case study, European J. Oper. Res., 193 (2009) 1-11.
[18]
P. Toth, D. Vigo, The Vehicle Routing Problem, SIAM, 2001.
[19]
Y. Xiao, Q. Zhao, I. Kaku, Y. Xu, Development of a fuel consumption optimization model for the capacitated vehicle routing problem, Comput. Oper. Res., 39 (2012) 1419-1431.

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Published In

cover image Operations Research Letters
Operations Research Letters  Volume 41, Issue 6
November 2013
173 pages

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 November 2013

Author Tags

  1. Approximation algorithms
  2. Cumulative vehicle routing problem
  3. Fuel consumption

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  • (2022)The Arc-Item-Load and Related Formulations for the Cumulative Vehicle Routing ProblemDiscrete Optimization10.1016/j.disopt.2022.10071045:COnline publication date: 1-Aug-2022
  • (2017)A heuristic for cumulative vehicle routing using column generationDiscrete Applied Mathematics10.1016/j.dam.2016.05.030228:C(140-157)Online publication date: 10-Sep-2017
  • (2016)A Branch-Cut-and-Price Algorithm for the Energy Minimization Vehicle Routing ProblemTransportation Science10.1287/trsc.2015.059350:1(23-34)Online publication date: 1-Feb-2016
  • (2016)A 2-phase constructive algorithm for cumulative vehicle routing problems with limited durationExpert Systems with Applications: An International Journal10.1016/j.eswa.2016.02.04656:C(48-58)Online publication date: 1-Sep-2016
  • (2016)Approximation Algorithms for Cumulative VRP with Stochastic DemandsProceedings of the Second International Conference on Algorithms and Discrete Applied Mathematics - Volume 960210.1007/978-3-319-29221-2_15(176-189)Online publication date: 18-Feb-2016
  • (2015)City Vehicle Routing Problem (City VRP): A ReviewIEEE Transactions on Intelligent Transportation Systems10.1109/TITS.2015.239553616:4(1654-1666)Online publication date: 31-Jul-2015
  • (2015)A simulating annealing algorithm to solve the green vehicle routing & scheduling problem with hierarchical objectives and weighted tardinessApplied Soft Computing10.1016/j.asoc.2015.04.05434:C(372-388)Online publication date: 1-Sep-2015

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