Accession Number : AD0656029

Title :   OPTIMAL MAINTENANCE POLICY AND SALE DATE OF A MACHINE.

Descriptive Note : Research rept.,

Corporate Author : CARNEGIE INST OF TECH PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s) : Thompson,Gerald L.

Report Date : JUL 1967

Pagination or Media Count : 16

Abstract : A machine is to be bought, used for productive purposes for a length of time, and then sold. It is possible to do preventive maintenance while the machine is being used, if desired, in order to slow down the degradation of the machine's capability. The value of owning the machine is the sum of the discounted value of the machine when sold. In this paper a modification of a model due to B. Naslund for the problem is discussed. Using Pontryagin's maximum principle, the problem is treated as one of optimal control with the control variables being the use or nonuse of preventive maintenance and the selection of the sale date. It is shown that the optimal maintenance policy is bang-bang, and methods for finding the optimal sale date are determined. Simple examples show the various kinds of solutions that can be obtained with varying assumptions concerning the actual functions used in the model. (Author)

Descriptors :   (*MAINTENANCE, *OPTIMIZATION), (*MANAGEMENT PLANNING AND CONTROL, MACHINES), MATHEMATICAL MODELS, DISPOSAL, THEORY

Subject Categories : Administration and Management

Distribution Statement : APPROVED FOR PUBLIC RELEASE