Journal article
Note—Patience is a Virtue in a Simple Model of Repetitively Joining a Queue
Management science, Vol.32(6), pp.764-767
06/01/1986
DOI: 10.1287/mnsc.32.6.764
Abstract
Each of n members of a finite customer population must weigh the rewards of service completion against the cost of waiting in a single exponential server queuing system. After completing service, a customer may re-enter the system. In attempting to maximize average return per unit time over an infinite horizon each customer must make a single decision, a choice of arrival rate which must then be used to determine the time until re-entry whenever the customer finishes being served.
Equilibrium behavior in the resulting n person game is investigated. Equilibria exist involving a subset of the players who re-enter instantaneously after service while all others abstain from entry. In instances where all customers re-enter instantaneously, everyone could be made better off if it were possible to impose a non-instantaneous arrival rate.
Details
- Title: Subtitle
- Note—Patience is a Virtue in a Simple Model of Repetitively Joining a Queue
- Creators
- Colin E. Bell - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Management science, Vol.32(6), pp.764-767
- DOI
- 10.1287/mnsc.32.6.764
- ISSN
- 0025-1909
- eISSN
- 1526-5501
- Publisher
- INST OPERATIONS RESEARCH MANAGEMENT SCIENCES; LINTHICUM HTS
- Number of pages
- 4
- Language
- English
- Date published
- 06/01/1986
- Academic Unit
- Business Analytics
- Record Identifier
- 9984963233702771
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