Size- and state-aware dispatching problem with queue-specific job sizes

详细信息    查看全文

• 作者：Esa  ; Hyyti&auml ;   ; ;   ; ^{Esa.Hyytia@tkk.fi} ; Aleksi  ; Penttinen ; Samuli  ; Aalto
• 关键词：Routing ; Parellel queues ; Mean response time ; M/G/1 ; MDP ; Relative values
• 刊名：European Journal of Operational Research
• 出版年：2012
• 出版时间：1 March 2012
• 年：2012
• 卷：217
• 期：2
• 页码：357-370
• 全文大小：736 K

文摘

We consider the dispatching problem in a size- and state-aware multi-queue system with Poisson arrivals and queue-specific job sizes. By size- and state-awareness, we mean that the dispatcher knows the size of an arriving job and the remaining service times of the jobs in each queue. By queue-specific job sizes, we mean that the time to process a job may depend on the chosen server. We focus on minimizing the mean sojourn time (i.e., response time) by an MDP approach. First we derive the so-called size-aware relative values of states with respect to the sojourn time in an M/G/1 queue operating under FIFO, LIFO, SPT or SRPT disciplines. For FIFO and LIFO, the size-aware relative values turn out to be insensitive to the form of the job size distribution. The relative values are then exploited in developing efficient dispatching rules in the spirit of the first policy iteration.