Publication: Research - peer-review › Article in proceedings – Annual report year: 2012
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.
|Title of host publication||Automata, Languages, and Programming : 39th International Colloquium, ICALP 2012|
|Editors||Artur Czumaj, Kurt Mehlhorn , Andrew Pitts, Roger Wattenhofer|
|Conference||Automata, Languages, and Programming. 39th International Colloquium, ICALP 2012|
|Period||01/01/12 → …|
|Name||Lecture Notes in Computer Science|
|Citations||Web of Science® Times Cited: No match on DOI|
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