TWO PHASE RETRIAL QUEUE WITH STARTING FAILURES, CUSTOMER IMPATIENCE, FEEDBACK AND BERNOULLI VACATION

Abstract

This paper analyses batch arrival retrial queue with impatient customers, Bernoulli vacation, feedback and server subject to starting failure. The server renders two phases of heterogeneous service, first essential phase service (FEPS) and second optional phase service (SOPS). The customers balk and renege at particular times. On completion of SOPS, with certain probability the server may go for a vacation or remains idle. The customers are allowed to make a feedback after both the phases. We derive steady state solutions and performance measures for this model. We explore the various effects of system parameters numerically.