Shapley value-based cost allocation in the cooperative traveling salesman problem under rolling horizon planning

A. Kimms () and I. Kozeletskyi ()
Additional contact information
A. Kimms: University of Duisburg–Essen
I. Kozeletskyi: University of Duisburg–Essen

EURO Journal on Transportation and Logistics, 2016, vol. 5, issue 4, No 1, 392 pages

Abstract: Abstract This paper examines cooperation among salesmen from a game-theoretic perspective for the case of the traveling salesman problem with rolling horizon. The rolling horizon planning is modeled using stochastic demands. The goal is to determine a cost allocation for this problem using the Shapley value. The game-theoretic formulation of the problem is provided and structural properties are investigated. To compute the value of the characteristic function of this game, an optimization problem formulated as a stochastic dynamic program is introduced. Due to high computational effort of stochastic dynamic programming and calculation of the Shapley value, a tailor-made solution procedure is developed. This procedure combines methods of approximate dynamic programming to find an approximate value of the characteristic function and an estimation algorithm for the Shapley value. The developed computational study tests the computational performance of the solution procedure.

Keywords: Traveling salesman problem; Rolling horizon; Cost allocation; Shapley value; Dynamic programming (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
http://link.springer.com/10.1007/s13676-015-0087-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurjtl:v:5:y:2016:i:4:d:10.1007_s13676-015-0087-3

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/13676

DOI: 10.1007/s13676-015-0087-3

Access Statistics for this article

EURO Journal on Transportation and Logistics is currently edited by Michel Bierlaire

More articles in EURO Journal on Transportation and Logistics from Springer, EURO - The Association of European Operational Research Societies
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().