Optimization of the T policy M/G/1 queue with server breakdowns and general startup times

✍ Scribed by Tsung-Yin Wang; Kuo-Hsiung Wang; Wen Lea Pearn

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 667 KB
• Volume: 228
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.09.021

✦ Synopsis

This paper investigates the T policy M/G/1 queue with server breakdowns, and startup times. Customers arrive at the system according to a Poisson process. Service times, repair times, and startup times are assumed to be generally distributed. The server is turned on after a fixed length of time T repeatedly until at least one customer is present in the waiting line. The server needs a startup time before starting the service. We analyze various system performance measures and develop the total expected cost function per unit time in which T is a decision variable. We determine the optimum threshold T * and derive analytical results for sensitivity investigations. The sensitivity analysis is particularly valuable to the system analyst when evaluating future conditions. We also present extensive numerical computation for illustration purpose.