Optimization Techniques for Decision-making and Information Security

Cost Optimisation Analysis for a Markovian Feedback Queueing System with Discouragement, Breakdown, and Threshold-based Recovery Policy

Author(s): Amit Kumar, Amina Angelika Bouchentouf and Mohamed Boualem *

Pp: 1-17 (17)

DOI: 10.2174/9789815196320124030004

* (Excluding Mailing and Handling)


In this investigation, we deal with a finite capacity Markovian feedback queue with threshold-based recovery policy, server breakdown, and customers’ impatience. For this system, the Successive Over-Relaxation (SOR) method is used to obtain the steady-state probabilities. Besides, the queueing system’s characteristics are also derived. Then, cost optimization of the system is carried out using the Quasi-Newton method. Further, numerical studies are performed to support the theoretically obtained results.

Keywords: Feedback queue with server breakdown; Balking and threshold-based recovery policy; Reneging and retention of reneged customers; SOR method; Quasi-Newton method.

Related Journals
Related Books
© 2024 Bentham Science Publishers | Privacy Policy