Technical Note—Turning Off a Server with Customers Present: Is This Any Way to Run an M / M / c Queue with Removable Servers?

Colin E. Bell
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Colin E. Bell: University of California, Irvine, California

Operations Research, 1975, vol. 23, issue 3, 571-574

Abstract: The form of optimal policy is investigated in an average cost, infinite horizon M / M / c problem where the number of servers working can be adjusted at arrival or service completion epochs. The costs considered are linear holding costs, linear servers' wages and set-up (shut-down) charges per server turned on (off). We show that an optimal policy may call for turning one or more servers off even when there are customers for him to serve.

Date: 1975
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