On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time

This paper considers the impact of random machine breakdowns on the classical Economic Production Quantity (EPQ) model for a product subject to exponential decay and under a no-resumption (NR) inventory control policy. A product is manufactured in batches on a machine that is subject to random break...

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Bibliographic Details
Published in:Mathematical and computer modelling Vol. 43; no. 7; pp. 920 - 932
Main Authors: Lin, Gary C., Gong, Dah-Chuan
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.04.2006
Elsevier Science
Subjects:
Applications
Applied sciences
Deteriorating item
Distribution theory
Economic production quantity model
Exact sciences and technology
Fixed repair time
Inventory
Inventory control, production control. Distribution
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Operational research and scientific management
Operational research. Management science
Probability and statistics
Probability theory and stochastic processes
Random machine breakdown
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Random machine breakdown
Deteriorating item
Economic production quantity model
Fixed repair time
Inventory
Economics
Production system
Exponential distribution
Random distribution
Economic model
System maintenance
Deterioration
Applied mathematics
Inventory control
Infinite horizon
Planning
Mathematical model
ISSN:0895-7177, 1872-9479
Online Access:Get full text
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Summary:This paper considers the impact of random machine breakdowns on the classical Economic Production Quantity (EPQ) model for a product subject to exponential decay and under a no-resumption (NR) inventory control policy. A product is manufactured in batches on a machine that is subject to random breakdowns in order to meet a constant demand over an infinite planning horizon. The product is assumed to have a significant rate of deterioration and time to deterioration is described by an exponential distribution. Also, the time-to-breakdown is a random variable following an exponential distribution. Under the NR policy, when a breakdown occurs during a production run, the run is immediately aborted. A new run will not be started until all available inventories are depleted. Corrective maintenance of the production system is carried out immediately after a breakdown and it takes a fixed period of time to complete such an activity. The objective is to determine the optimal production uptime that minimizes the expected total cost per unit time consisting of setup, corrective maintenance, inventory carrying, deterioration, and lost sales costs. A near optimal production uptime is derived under conditions of continuous review, deterministic demand, and no shortages.
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ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2005.12.013