Stochastic vehicle routing with recourse

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We study the classic Vehicle Routing Problem in the setting of stochastic optimization with recourse. StochVRP is a two-stage problem, where demand is satisfied using two routes: fixed and recourse. The fixed route is computed using only a demand distribution. Then after observing the demand instantiations, a recourse route is computed - but costs here become more expensive by a factor λ. We present an O(log2n ·log(nλ))-approximation algorithm for this stochastic routing problem, under arbitrary distributions. The main idea in this result is relating StochVRP to a special case of submodular orienteering, called knapsack rank-function orienteering. We also give a better approximation ratio for knapsack rank-function orienteering than what follows from prior work. Finally, we provide a Unique Games Conjecture based ω(1) hardness of approximation for StochVRP, even on star-like metrics on which our algorithm achieves a logarithmic approximation.
Original languageEnglish
Title of host publicationAutomata, Languages, and Programming : 39th International Colloquium, ICALP 2012
EditorsArtur Czumaj, Kurt Mehlhorn , Andrew Pitts, Roger Wattenhofer
Publication date2012
ISBN (Print)978-3-642-31593-0
Publication statusPublished - 2012
EventAutomata, Languages, and Programming. 39th International Colloquium, ICALP 2012 - Warwick
Duration: 1 Jan 2012 → …


ConferenceAutomata, Languages, and Programming. 39th International Colloquium, ICALP 2012
Period01/01/2012 → …
SeriesLecture Notes in Computer Science
CitationsWeb of Science® Times Cited: No match on DOI

ID: 10197667