Equilibrium analysis of the fluid model with two types of parallel customers and breakdowns

Jinping Liu, Xiuli Xu, Shuo Wang and Dequan Yue

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 24, 5792-5805

Abstract: This article investigates the customers’ equilibrium behavior and socially optimal threshold strategy for the fluid model with two types of parallel customers and an unreliable server. The two types of customers are modeled as two independent fluids that enter the buffer at different arrival rates. The server has an exponentially distributed lifetime and stops working completely once it is faulty. Customers can observe the information of the system and evaluate their utilities based on an exponential utility structure before making decision, but may or may not be informed of which customer type they belong to. The equilibrium strategies are derived for the fully and partially observable cases. Finally, some numerical examples are presented to illustrate the effect of system parameters on customers’ behavior and social benefit.

Date: 2021
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DOI: 10.1080/03610926.2020.1737124

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