Maximising profits for an EPQ model with unreliable machine and rework of random defective items

Brojeswar Pal · Shib Sankar Sana · Kripasindhu S. Chaudhuri

77 citations0/0 files storedInternational Journal of Systems Science

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Management and Optimization Techniques

Abstract

This article deals with an economic production quantity (EPQ) model in an imperfect production system. The production system may undergo in ‘out-of-control’ state from ‘in-control’ state, after a certain time that follows a probability density function. The density function varies with reliability of the machinery system that may be controlled by new technologies, investing more costs. The defective items produced in ‘out-of-control’ state are reworked at a cost just after the regular production time. Occurrence of the ‘out-of-control’ state during or after regular production-run time is analysed and also graphically illustrated separately. Finally, an expected profit function regarding the inventory cost, unit production cost and selling price is maximised analytically. Sensitivity analysis of the model with respect to key parameters of the system is carried out. Two numerical examples are considered to test the model and one of them is illustrated graphically.

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References

2000Economic production quantity model for items with imperfect quality 1986Economic Production Cycles with Imperfect Production Processes 2004Reverse logistics : quantitative models for closed-loop supply chains 2002Note on: Economic production quantity model for items with imperfect quality–a practical approach 2001Production lot sizing with the reworking of imperfect quality items produced 2009Economic production quantity with rework process at a single-stage manufacturing system with planned backorders 1996The EOQ repair and waste disposal model with variable setup numbers 2001Economic ordering quantities for recoverable item inventory systems

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