Equilibrium Joining Strategies of Positive Customers in a Markovian Queue with Negative Arrivals and Working Vacations

Gopinath Panda () and Veena Goswami ()
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Gopinath Panda: University of Central Florida
Veena Goswami: Kalinga Institute of Industrial Technology

Methodology and Computing in Applied Probability, 2022, vol. 24, issue 3, 1439-1466

Abstract: Abstract We study the economic analysis of a single server Markovian queueing system with positive and negative customers and multiple working vacations. Both positive and negative customers arrive in the system according to a Poisson process. Upon arrival, positive customers acquire some system information and decide whether to join or to balk the system based on the acquired information and a linear cost-reward structure. Negative customers on arrival break the server and kill the positive customer in service. The server is immediately sent for repair, and no customers are allowed during a repair. The server takes multiple working vacations after serving all the positive waiting customers. We obtain the equilibrium strategies and social benefit of positive customers under four different information situations. Numerical experiments are presented to show the effects of model parameters and information levels on the equilibrium joining behavior of positive customers.

Keywords: Strategic customers; Positive customers; Equilibrium joining; Negative arrivals; Queue; Social benefit; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11009-021-09864-8

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