Abstract
Optimal control of many-server heterogenous service systems with service times that have a special hyper-exponential distribution, denoted by \(H_{2}^{*}\), 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.
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Research supported by NSF Grants CMMI-0954126 and CMMI-1130266.
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Tezcan, T. Asymptotically optimal control of many-server heterogeneous service systems with \(H_{2}^{*}\) service times. Queueing Syst 71, 445–467 (2012). https://doi.org/10.1007/s11134-012-9295-9
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DOI: https://doi.org/10.1007/s11134-012-9295-9