標題: A Note on a Multi-server Queue with Vacations of Multiple Groups of Servers
作者: Kei, Jau-Chuan
Wu, Chia-Huang
Zhang, Zhe George
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: Cost model;multiple server groups;server breakdown;synchronous single vacation
公開日期: 1-Dec-2013
摘要: We study a Markovian queueing system with unreliable servers and two possible groups of servers taking two different types of vacations. Once the number of idle of servers reaches one of the two critical numbers in the system, a group of servers will take a single synchronous vacation (or leave for doing a secondary job). After taking the vacation, the servers return to attend the queue (or stay idle for the next arriving customer). Therefore, there can be a maximum of two groups of servers taking two different types of vacations at a time (doing some secondary jobs). The servers are subject to failure when attending the queue. The stability condition for the system and the stationary performance measures are developed by using the matrix-analytical method. A cost model is constructed to determine the optimal vacation policy and the optimal service rate of each server. Some numerical results are presented to illustrate the optimization procedures.
URI: http://hdl.handle.net/11536/23454
ISSN: 1684-3703
期刊: QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT
Volume: 10
Issue: 4
起始頁: 513
結束頁: 525
Appears in Collections:Articles