Equilibrium Strategies Analysis of a Retrial Queueing System with Two Classes of Customers and Orbital Search
In this paper,we consider an M/M/1 retrial queueing system with two classes of customers and orbital search.If the service of arriving customers is ob-structed,priority customers can wait in line and have limited waiting space in front of the server;The ordinary customers can join an infinite-capacity retrial orbit and retry later.If the server finds that there is no priority customer in the system after serving a customer,but there are ordinary customers in orbit,the server will keep idle with probability p and wait for customers to arrive or start searching for customers from the head of the orbit with probability 1-p.We first derive the stability condition of the system using the ergodic condition of the quasi-birth-and-death(QBD)process and obtain some important system performance measures based on the generating function approach.Then,depending on a linear reward-cost structure,we study ordi-nary customers'equilibrium joining strategies in the fully unobservable and partially observable cases.Finally,the effects of the system parameters on the equilibrium strategies are explored through numerical examples.
Two classes of customerspreemptive priorityretrial queueorbital searchequilibrium strategy
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