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STRATEGIC CUSTOMERS IN MARKOVIAN QUEUES WITH VACATIONS AND SYNCHRONIZED ABANDONMENT

Part of: Special processes Computer system organization Operations research and management science

Published online by Cambridge University Press:  03 July 2020

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Affiliation:
Engineering Systems and Design, Singapore University of Technology and Design, Singapore email [email protected]
VEENA GOSWAMI*
Affiliation:
School of Computer Applications, Kalinga Institute of Industrial Technology, Bhubaneswar, India email [email protected]
*
✉[email protected]
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Abstract

We study impatient customers’ joining strategies in a single-server Markovian queue with synchronized abandonment and multiple vacations. Customers receive the system information upon arrival, and decide whether to join or balk, based on a linear reward-cost structure under the acquired information. Waiting customers are served in a first-come-first-serve discipline, and no service is rendered during vacation. Server’s vacation becomes the cause of impatience for the waiting customers, which leads to synchronous abandonment at the end of vacation. That is, customers consider simultaneously but independent of others, whether to renege the system or to remain. We are interested to study the effect of both information and reneging choice on the balking strategies of impatient customers. We examine the customers’ equilibrium and socially optimal balking strategies under four cases of information: fully/almost observable and fully/almost unobservable cases, assuming the linear reward-cost structure. We compare the social benefits under all the information policies.

Keywords

equilibrium balking strategyinformation policiesmultiple vacationssocial benefitstrategic customerssynchronized abandonment

MSC classification

Primary: 60K25: Queueing theory
Secondary: 68M20: Performance evaluation; queueing; scheduling 90B22: Queues and service
Type
Research Article
Information
The ANZIAM Journal , Volume 62 , Issue 1 , January 2020 , pp. 89 - 120
Copyright
© 2020 Australian Mathematical Society

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