Equilibrium analysis of unobservable M∕M∕n priority queues with balking and homogeneous customers

Qingying Li, Pengfei Guo, Yulan Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

We investigate equilibrium queueing strategies in an unobservable M∕M∕n non-preemptive priority queue with homogeneous customers. Arriving customers make decisions by choosing one of the three options: balking, joining the regular queue, or joining the priority queue with an additional fee. We adopt a sequential approach to analyze this two-dimensional queueing game. We first obtain the equilibrium choice between joining the priority or the regular queue given a fixed total joining rate, and then we determine the equilibrium total joining rate.

Original languageEnglish
Pages (from-to)674-681
Number of pages8
JournalOperations Research Letters
Volume48
Issue number5
DOIs
Publication statusPublished - Sep 2020

Keywords

  • Equilibrium analysis
  • Priority queue
  • Strategic queueing
  • Unobservable queue

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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