Customer and Cost Sharing in a Jackson Network

Judith Timmer and Werner Scheinhardt ()
Additional contact information
Judith Timmer: Stochastic Operations Research Group, Department of Applied Mathematics, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
Werner Scheinhardt: Stochastic Operations Research Group, Department of Applied Mathematics, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands

International Game Theory Review (IGTR), 2018, vol. 20, issue 03, 1-10

Abstract: In this paper we consider a Jackson network of independent service stations. To improve upon the total expected queue length, the stations may redistribute the total arrival rate of customers over all queues. We investigate this situation by means of arrival rate games. These are cooperative TU cost games in which the stations are the players and the total cost of a coalition is linear in the total expected queue length. We show that these games are totally balanced; cooperation is beneficial to all stations. Further, we provide a tailor-made cost allocation rule that belongs to the core of the game.

Keywords: Jackson network; customer sharing; cooperative game; cost allocation (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219198918500020
Access to full text is restricted to subscribers

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:wsi:igtrxx:v:20:y:2018:i:03:n:s0219198918500020

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219198918500020

Access Statistics for this article

International Game Theory Review (IGTR) is currently edited by David W K Yeung

More articles in International Game Theory Review (IGTR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().