Show simple item record

dc.contributor.authorAziz, Haris
dc.contributor.authorCahan, Casey
dc.contributor.authorGretton, Charles
dc.contributor.authorKilby, Philip
dc.contributor.authorMattei, Nicholas
dc.contributor.authorWalsh, Toby
dc.date.accessioned2019-04-16T04:11:09Z
dc.date.available2019-04-16T04:11:09Z
dc.date.issued2016
dc.identifier.issn1076-9757
dc.identifier.doi10.1613/jair.5021
dc.identifier.urihttp://hdl.handle.net/10072/123928
dc.description.abstractWe survey existing rules of thumb, propose novel methods, and comprehensively evaluate a number of solutions to the problem of calculating the cost to serve each location in a single-vehicle transport setting. Cost to serve analysis has applications both strategically and operationally in transportation settings. The problem is formally modeled as the traveling salesperson game (TSG), a cooperative transferable utility game in which agents correspond to locations in a traveling salesperson problem (TSP). The total cost to serve all locations in the TSP is the length of an optimal tour. An allocation divides the total cost among individual locations, thus providing the cost to serve each of them. As one of the most important normative division schemes in cooperative games, the Shapley value gives a principled and fair allocation for a broad variety of games including the TSG. We consider a number of direct and sampling-based procedures for calculating the Shapley value, and prove that approximating the Shapley value of the TSG within a constant factor is NP-hard. Treating the Shapley value as an ideal baseline allocation, we survey six proxies for it that are each relatively easy to compute. Some of these proxies are rules of thumb and some are procedures international delivery companies use(d) as cost allocation methods. We perform an experimental evaluation using synthetic Euclidean games as well as games derived from real-world tours calculated for scenarios involving fast-moving goods; where deliveries are made on a road network every day. We explore several computationally tractable allocation techniques that are good proxies for the Shapley value in problem instances of a size and complexity that is commercially relevant.
dc.description.peerreviewedYes
dc.languageEnglish
dc.publisherAAAI Press
dc.relation.ispartofpagefrom573
dc.relation.ispartofpageto611
dc.relation.ispartofjournalJournal of Artificial Intelligence Research
dc.relation.ispartofvolume56
dc.subject.fieldofresearchArtificial Intelligence and Image Processing not elsewhere classified
dc.subject.fieldofresearchApplied Mathematics
dc.subject.fieldofresearchArtificial Intelligence and Image Processing
dc.subject.fieldofresearchCognitive Sciences
dc.subject.fieldofresearchcode080199
dc.subject.fieldofresearchcode0102
dc.subject.fieldofresearchcode0801
dc.subject.fieldofresearchcode1702
dc.titleA Study of Proxies for Shapley Allocations of Transport Costs
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dc.description.versionPublished
gro.rights.copyright© 2016 A I Access Foundation, Inc. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.hasfulltextFull Text
gro.griffith.authorGretton, Charles


Files in this item

This item appears in the following Collection(s)

  • Journal articles
    Contains articles published by Griffith authors in scholarly journals.

Show simple item record