Optimal operating policy for a bottleneck with random rework
Management Science
Stochastic dynamic programming and the control of queueing systems
Stochastic dynamic programming and the control of queueing systems
OPTIMALITY OF CONTROL LIMIT MAINTENANCE POLICIES UNDER NONSTATIONARY DETERIORATION
Probability in the Engineering and Informational Sciences
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This article is concerned with the problem of controlling a simple immigration process, which represents a pest population, by the introduction of a predator. It is assumed that the cost rate caused by the pests is an increasing function of their population size and that the cost rate of the controlling action is constant. The existence of a control-limit policy that minimizes the expected long-run average cost per unit time is established. The proof is based on the variation of a fictitious parameter over the entire real line.