Integrated model of production planning and imperfect preventive maintenance policy for single machine system
type: Item
instance of: scholarly article
title: Integrated model of production planning and imperfect preventive maintenance policy for single machine system
zbMATH Open document ID: 1362.90177
author: Shijin Wang
published in: International Journal of Operational Research
publication date: 2017-05-31T00:00:00Z
review text: Summary: This paper investigates the integrated problem of imperfect preventive maintenance and tactical production planning for a single machine system, in which a set of products must be produced in lots throughout a specified finite planning horizon. The machine is assumed to be subject to random failure, and periodic preventive maintenance (PM) and periodic system overhaul are executed to reduce the risk of failure. The PM is assumed to be imperfect and system overhaul is perfect, and minimal repair is conducted at machine failure. The objective is to determine both the lengths of PM cycle and system overhaul cycle to minimise the expected sum of PM costs, repair costs, system overhaul costs, setup costs, holding costs, backorder costs and production costs, while satisfying the demand for all products over the planning horizon. The problem is formulated as an integer linear programme problem and is solved by comparing the results of several multi-product capacitated lot-sizing problems. An illustrative example is also given to show the steps to obtain an optimal solution and show the cost benefit of integrated production and maintenance strategy.
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 90C10
zbMATH DE Number: 6724750
zbMATH Keywords: production planning
zbMATH Keywords: imperfect preventive maintenance
zbMATH Keywords: minimal repair
zbMATH Keywords: integrated strategies
zbMATH Keywords: modelling
zbMATH Keywords: maintenance policy
zbMATH Keywords: single machine systems
zbMATH Keywords: random failure
zbMATH Keywords: machine failure
zbMATH Keywords: capacitated lot sizing
MaRDI profile type: Publication
description: scientific article