Preemptive Priority Markovian Queue Subject to Server Breakdown with Imperfect Coverage and Working Vacation Interruption

• Published in: Computation Vol. 11; no. 5; p. 89
• Main Authors: Liu, Tzu-Hsin, Hsu, He-Yao, Ke, Jau-Chuan, Chang, Fu-Min
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 27.04.2023
• Subjects: Cost analysis; Customer services; Distribution (Probability theory); Equilibrium; imperfect coverage; Mathematical optimization; Optimization; Preempting; preemptive priority queue; Probability; Queuing theory; Random variables; Servers; unreliable server; vacation interruption; Vacations; working vacation; Taiwan

This work considers a preemptive priority queueing system with vacation, where the single server may break down with imperfect coverage. Various combinations of server vacation priority queueing models have been studied by many scholars. A common assumption in these models is that the server will on...