Economic lot sizing for an imperfect production system subject to random breakdowns

Economic lot sizing for an imperfect production system subject to random breakdowns

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Article ID: iaor2007545
Country: United Kingdom
Volume: 38
Issue: 1
Start Page Number: 73
End Page Number: 92
Publication Date: Jan 2006
Journal: Engineering Optimization
Authors: ,
Keywords: production, manufacturing industries, stochastic processes
Abstract:

This article considers an economic manufacturing quantity model for an imperfect production process that is subject to random machine breakdowns. The product is manufactured intermittently in batches to meet a constant demand. During a production run, the system is assumed to deteriorate over time. As a result, a fixed proportion of items produced are defective. The system is also subject to random breakdowns. A no-resumption inventory control policy is adopted. Under this policy, the production run is aborted when a breakdown occurs. Production will be resumed only when all on-hand inventories are depleted. Corrective maintenance is carried out immediately after a breakdown. The time-to-shift and the time-to-breakdown are two random variables following different exponential distributions. The objective is to find an optimal production lot size that minimizes the expected (long-run) total cost per unit time. Several models are investigated and a numerical approach is developed to obtain an optimal production lot size.

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