Analysis Of Several Queueing Systems In Alternating Environment

Due to important application in complex modern communication networks,the topic of queues operating in random environment became popular during the last few decades.In these models,transition can be made among the environments,and every environment may have particular arrival rate and service rate.This thesis studies several kinds of queueing systems in alternating environmeet(2-phase random environment),and we focus on three models.Firstly,we consider a M/G/1 repairable queueing system in alternating environment.The server experiences failure when it is in operation.At a failure instant,all customers are forced to leave the system,the server abandons the service and the repair period immediately begins.We derive the stationary distribution of the system at an arbitrary epoch and some performance measures,such as expected number of customers,the probability that the server is idle.Secondly,we study a queue with batch service polling system in alternating environment.The main queue is Israeli queue.By using matrix analytic method and spectral expansion method,we obtain the distribution for the stationary queue length respectively.We also obtain the conditional waiting time of an arriving customer who joins the waiting region under the condition that the main queue in service region is fully occupied by all groups.Thirdly,we analyze a clearing queueing system with setup times in alternating environment.This model is based on the traffic system.According to a "reward-cost" structure,we obtain the balking strategy in the observable and unobservable cases.Finally,some numerical examples are presented to show the influences of some particular parameters on the performance indexes.