Equilibrium threshold joining strategies in partially observable batch service queueing systems

We study the strategic customer behavior in queueing systems with batch services under incomplete information. In particular, we assume that arriving customers have the opportunity to observe only the number of waiting batches upon arrival and, afterwards, they make their join/balk decisions. We pro...

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Bibliographic Details
Published in:Annals of operations research 2019-06, Vol.277 (2), p.231-253
Main Authors: Bountali, Olga, Economou, Antonis
Format: Article
Language:English
Subjects:
Business and Management
Combinatorics
Customer services
Customers
Economic models
Mathematical research
Operations research
Operations Research/Decision Theory
Queueing Theory and Network Applications
Queues
Queuing theory
Theory of Computation
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Summary:We study the strategic customer behavior in queueing systems with batch services under incomplete information. In particular, we assume that arriving customers have the opportunity to observe only the number of waiting batches upon arrival and, afterwards, they make their join/balk decisions. We prove that equilibrium strategies always exist within the legitimate class of threshold strategies, but they may not be unique. We also provide an algorithmic scheme for their computation. Moreover, we compare the strategic behavior under this information level with the corresponding behavior in the complete information case.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2630-0