• ANALYSIS OF EQUILIBRIUM STRATEGIES IN MARKOVIAN QUEUE WITH PARTIAL BREAKDOWN, TOTAL BREAKDOWN AND DELAYED REPAIR

DR. R. K. SHRIVASTAVA, PREETI GAUTAMI DUBEY*

Abstract


We consider equilibrium Strategic behaviour in single server markovian queueing system with partial breakdown, total breakdown and delayed repair. In a case of partial breakdown, the system may become defective at any time whether server is busy or idle. When server breaks down then srevice rate decreases without stopping the service completely, service continues at a slower rate. After total breakdown, system goes to repair process. Repair process doesn't start immediately due to non availability of repair facility. Then system consider a delayed repair time .Based on natural reward cost structure and the information of system, arriving customers can decide whether to enter or balk the system. We derive the equilibrium balking strategies and expected social benefits per unit time for the customer in the fully observable, almost observable, fully unobservable and almost unobservable case. Here we investigate Steady-state distribution and the mean sojourn time of the arriving customer by using the probability generating function.

 


Keywords


Equilibrium Strategy, Delayed Repair, Markovian Queue, Partially Breakdown, Queueing Theory, Unobservable Queue.

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