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Volume 10 - March 1978

Contents

Page 6 of 10

Research Article

  • Optimal control of the service rate in an M/G/1 queueing system

  • Bharat T. Doshi
  • Published online by Cambridge University Press:
    01 July 2016, pp. 682-701

  • We consider an M/G/1 queue in which the service rate is subject to control. The control is exercised continuously and is based on the observations of the residual workload process. For both the discounted cost and the average cost criteria we obtain conditions which are sufficient for a stationary policy to be optimal. When the service cost rate and the holding cost rates are non-decreasing and convex it is shown that these sufficient conditions are satisfied by a monotonic policy, thus showing its optimality.

IIC. Limit Theorems

II. Contributed Papers

Correction

IIC. Limit Theorems

II. Contributed Papers

Front Matter

IIC. Limit Theorems

II. Contributed Papers

Back Matter

IIC. Limit Theorems

II. Contributed Papers

IID. Stationary Processes

II. Contributed Papers

IIE. Markov Chains and Processes

II. Contributed Papers

Page 6 of 10