標題: The Interrelationship Between N-policy M/G/1/K and F-policy G/M/1/K Queues with Startup Time
作者: Kuo, Ching-Chang
Wang, Kuo-Hsiung
Pearn, W. L.
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: F-policy;G/M/1/K queue;M/G/1/K queue;N-policy;recursive method;startup time;supplementary variable
公開日期: 1-九月-2011
摘要: This paper studies the interrelationship between the N-policy M/G/1/K queue and the F-policy G/M/1/K queue. The N-policy queuing problem investigates the most common issue of controlling service. The F-policy queuing problem deals with the most common issue of controlling arrivals. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining service time, to develop the solution algorithm for the N-policy M/G/1/K queue with startup time. We have demonstrated that the N-policy M/G/1/K queue with startup time has been effectively used to derive the solution algorithm to the F-policy G/M/1/K queue with startup time. The interrelationship between the N-policy and the F-policy queueing problems are illustrated analytically for 3-stage Erlang (service or interarrival) time distribution.
URI: http://hdl.handle.net/11536/19603
ISSN: 1684-3703
期刊: QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT
Volume: 8
Issue: 3
起始頁: 237
結束頁: 251
顯示於類別:期刊論文