標題: Optimization of the T policy M/G/1 queue with server breakdowns and general startup times
作者: Wang, Tsung-Yin
Wang, Kuo-Hsiung
Pearn, Wen Lea
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: General repair time;General startup time;M/G/1 queue;Optimization
公開日期: 1-Jun-2009
摘要: 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. (c) 2008 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.cam.2008.09.021
http://hdl.handle.net/11536/7169
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.09.021
期刊: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume: 228
Issue: 1
起始頁: 270
結束頁: 278
Appears in Collections:Articles


Files in This Item:

  1. 000265892700030.pdf

If it is a zip file, please download the file and unzip it, then open index.html in a browser to view the full text content.