A Stochastic Allocation Problem

Publisher Website
Google Scholar
Abstract
A given quantity of a resource is to be allocated to several activities. The amount of the resource allocated to each activity is used to supply stochastic demands occurring randomly. The system operates as long as all the demands can be met. Whenever the demand of any one activity exceeds its allotment the system fails. The problem is to find the allocation which maximizes the expected time until failure. It is shown that when the available quantity of the resource is large, the optimal allocation is proportionate to the expected demand rate of each activity. An application to a multi-installation inventory problem is presented.

This publication has 0 references indexed in Scilit: