Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Abstract

This paper concerns the cost optimisation analysis of a discrete-time finite-capacity multiserver queueing system with Bernoulli feedback, synchronous multiple and single working vacations, balking, and reneging during both busy and working vacation periods. A reneged customer can be retained in the system by employing certain persuasive mechanism for completion of service. Using recursive method, the explicit expressions for the stationary state probabilities are obtained. Various system performance measures are presented. Further, a cost model is formulated. Then, the optimization of the model is carried out using quadratic fit search method (QFSM). Finally, the impact of various system parameters on the performance measures of the queueing system is shown numerically.

Performance analysis of vacation interruption queue with balking and reneging

“…The authors in [25] presented a detailed study of customers' impatience in an M/M/c model under single and multiple working vacation regimes. Yahiaoui et al [36] performed the optimum cost analysis of a finite-capacity Geo/Geo/c feedback model with synchronous working vacations and impatient customers, by using QFSM. For more literature on queueing models with working vacation and impatient customers, see [7,26] and the references therein.…”

Analysis of a batch arrival multi-server queueing system with waiting servers, synchronous working vacations and impatient customers

“…Thus, a very limited literature is available for these models. The readers can be referred to Altman and Yechiali [1], Yue et al [27], Altman and Yechiali [2], Yue et al [29], Majid and Manoharan [18], Yahiaoui et al [26], and Bouchentouf and Guendouzi [10].…”