Hierarchical control of production and maintenance rates in manufacturing systems
- 1 March 2003
- journal article
- Published by Emerald in Journal of Quality in Maintenance Engineering
- Vol. 9 (1), 66-82
- https://doi.org/10.1108/13552510310466927
Abstract
This paper deals with the production and preventive maintenance planning control problem for a multi‐machine flexible manufacturing system (FMS). A two‐level hierarchical control model is developed according to the discrepancy between the time scale of the discounting cost event and one of the machine state processes. The proposed model extends the classical singular perturbation approach by considering age‐dependent machine failure rates and controlling both production and preventive maintenance rates. We replace the stochastic optimal control problem by a deterministic one termed limiting control problem. With this approach, we compute an age‐dependent near‐optimal control policy of the stochastic initial control problem from the optimal solution of the equivalent limiting control problem. A numerical example is used to illustrate the procedure and to show the reduction of the control problem size.Keywords
This publication has 14 references indexed in Scilit:
- Production and preventive maintenance rates control for a manufacturing system: An experimental design approachInternational Journal of Production Economics, 2000
- Production planning problem in manufacturing systems with general failure and repair time distributionsProduction Planning & Control, 2000
- Experimental design in production and maintenance control problem of a single machine, single product manufacturing systemInternational Journal of Production Research, 1999
- Hierarchical Production Planning in Dynamic Stochastic Manufacturing Systems: Asymptotic Optimality and Error BoundsJournal of Mathematical Analysis and Applications, 1994
- Singular Perturbations in ManufacturingSIAM Journal on Control and Optimization, 1993
- An Asymptotic Analysis of Hierarchical Control of Manufacturing Systems Under UncertaintyMathematics of Operations Research, 1991
- Manufacturing flow control and preventing maintenance: a stochastic control approachIEEE Transactions on Automatic Control, 1990
- Optimal control of production rate in a failure prone manufacturing systemIEEE Transactions on Automatic Control, 1986
- An Algorithm for the Computer Control of a Flexible Manufacturing SystemIIE Transactions, 1983
- Dynamic Programming and Minimum Principles for Systems with Jump Markov DisturbancesSIAM Journal on Control, 1975