Robust vehicle routing problem with deadlines and travel time/demand uncertainty

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In this article, we investigate the vehicle routing problem with deadlines, whose goal is to satisfy the requirements of a given number of customers with minimum travel distances while respecting both of the deadlines of the customers and vehicle capacity. It is assumed that the travel time between any two customers and the demands of the customer are uncertain. Two types of uncertainty sets with adjustable parameters are considered for the possible realizations of travel time and demand. The robustness of a solution against the uncertain data can be achieved by making the solution feasible for any travel time and demand defined in the uncertainty sets. We propose a Dantzig-Wolfe decomposition approach, which enables the uncertainty of the data to be encapsulated in the column generation subproblem. A dynamic programming algorithm is proposed to solve the subproblem with data uncertainty. The results of computational experiments involving two well-known test problems show that the robustness of the solution can be greatly improved. Journal of the Operational Research Society (2012) 63, 1294-1306. doi:10.1057/jors.2011.136 Published online 7 December 2011; corrected online 11 January 2012
Publisher
PALGRAVE MACMILLAN LTD
Issue Date
2012-09
Language
English
Article Type
Article
Keywords

BRANCH-AND-PRICE; TIME WINDOWS; SALESMAN PROBLEM; STOCHASTIC DEMANDS; COLUMN GENERATION; OPTIMIZATION; ALGORITHM; CUSTOMERS; CUT

Citation

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, v.63, no.9, pp.1294 - 1306

ISSN
0160-5682
DOI
10.1057/jors.2011.136
URI
http://hdl.handle.net/10203/103041
Appears in Collection
IE-Journal Papers(저널논문)
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