
Accession Number : AD0654721
Title : JOINTLY OPTIMAL INVENTORY AND MAINTENANCE POLICIES.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
Personal Author(s) : Falkner,Charles H.
Report Date : 05 JUL 1967
Pagination or Media Count : 128
Abstract : A deterministic, continuous time, nonstationary inventory model is formulated to find the number of orders, the order quantities, and the times at which orders should be placed which minimize the total cost over a finite time horizon of meeting demand given by a requirements function. Conditions are given for the existence of an optimal policy with a regeneration point property. A deterministic, finite horizon inventorymaintenance system model is formulated to minimize total costs when the inventory demand is generated by choosing a sequence of equipment replacement intervals. Using the inventory results above, conditions are derived for the existence of an optimal policy such that orders are received only at times the equipment is replaced. Inventory and maintenance policies are determined which jointly minimize total avoidable cost when a single component of an equipment required to operate over a finite horizon fails stochastically with an increasing failure rate. The structure of the optimal replacement policies is characterized. (Author)
Descriptors : (*INVENTORY ANALYSIS, MATHEMATICAL MODELS), (*MAINTENANCE, MATHEMATICAL MODELS), OPERATIONS RESEARCH, STOCHASTIC PROCESSES, OPTIMIZATION, REPLACEMENT THEORY, COSTS, OBSOLESCENCE THEORY, MANAGEMENT PLANNING AND CONTROL
Subject Categories : Administration and Management
Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE