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Equilibrium Queueing Strategies of Three Types of Customers in A Single Queue
Author(s) -
Guowei Jia,
Xin Lü,
Yuantao Song
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1903/1/012076
Subject(s) - queueing theory , queue , queueing system , computer science , revenue , operations research , type (biology) , mathematical optimization , business , computer network , mathematics , ecology , accounting , biology
Different types of customers have different revenue and waiting costs per unit time. Although in queuing economics, research on customer equilibrium strategies has achieved fruitful results, most of these are based on a single customer type. Research on multiple types of customers is rare. We consider a single queue with three types of customers. We analyse system stationary distribution and obtain the equilibrium balking strategy of each type customers. In addition, the social benefit is discussed under the reward-cost structure in the full observable.

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