โ Scribed by Esther Frostig
No coin nor oath required. For personal study only.
Consider a production system with m unreliable machines, which are maintained by a single repairman. The time until failure of machine i and its repair time are exponentially distributed random variables with rates k i and l, respectively. Machine i earns at rate r i while it is working. The service rate can be controlled, and a cost c(l) is charged when the service rate is l. We assume the following compatibility condition: k i `kj implies that r i P r j . We consider both the optimal assignment of the repairman to the failed machines, and the optimal service rate. We demonstrate some monotone properties of the optimal policy.
๐ SIMILAR VOLUMES
Both parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonsmooth constrained optimal control problems with fractional objective functions and linear dynamics. Moreover, using the forms and contents of these optimality principles, four parametr