Abstract

An outline of impulsive control and its applications in management is reviewed. Conditions for optimal impulsive controls when the dynamic process is given by a stochastic differential equation with Wiener and jump processes are given. Applications to inventory control, capacity expansion, vehicle dispatching, maintenance-replacement-inspection, and pricing problems are formulated, and optimality conditions found. Although there are many other applications that can be outlined, these provide some motivation for further study in this emerging field.

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