Analysis of the equilibrium strategies in the Geo/Geo/1 queue with multiple working vacations

摘要

This paper studies the equilibrium behavior of customers in the Geo/Geo/1queueing system with multiple working vacations. The arriving customers decidewhether to join or to balk the queueing systems based on the information of thequeue length and the states of the server. In observable queues, partiallyobservable queues and unobservable queues three cases we obtain the equilibriumbalking strategies based on the reward-cost structure and socially optimalstrategies for all customers. Furthermore, we present some numericalexperiments to illustrate the effect of the information level on theequilibrium behavior and to compare the customers' equilibrium and sociallyoptimal strategies.