Asymptotically optimal control of many-server heterogeneous service systems with H-2(*) service times

作者：Tezcan Tolga^*

来源：Queueing Systems, 2012, 71(4): 445-467.

DOI：10.1007/s11134-012-9295-9

• Heterogeneous servers
• Many servers
• Heavy traffic
• Halfin-Whitt regime
• Asymptotic optimality

Optimal control of many-server heterogenous service systems with service times that have a special hyper-exponential distribution, denoted by , which is a mixture of an exponential distribution and a unit point mass at 0, is considered. A static priority policy that assigns priorities to server pools based on their service time distributions is proposed. This policy is shown to be asymptotically optimal in the many-server heavy-traffic regime in minimizing the total number of customers.

• 出版日期2012-8