Abstract

Economic production quantity (EPQ) inventory model for trended demand has been analyzed with rework facility and stochastic preventive machine time. Due to the complexity of the model, search method is proposed to determine the best optimal solution. A numerical example and sensitivity analysis are carried out to validate the proposed model. From the sensitivity analysis, it is observed that the rate of change of demand has significant impact on the optimal inventory cost. The model is very sensitive to the production and demand rate.

Highlights

  • An item that does not satisfy quality standards but can be attained after reprocess is termed as a recoverable item and the process is known as rework

  • Jamal et al [6] advocated the policy for rework of defective items in the same cycle which was extended by Cardenas-Barron [7]

  • Rework of imperfect quality and random preventive maintenance time are incorporated in economic production quantity model when demand increases with time

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Summary

Introduction

An item that does not satisfy quality standards but can be attained after reprocess is termed as a recoverable item and the process is known as rework. Abboud et al [15] analyzed an economic order quantity model by considering machine unavailability owing to preventive maintenance and shortage. We analyze an economic production quantity (EPQ) model with rework and random preventive maintenance time together when demand is increasing function of time. The consideration of random preventive maintenance time, rework, and trended demand in the model increases its applicability in the electronic and automobile industries. In this production system, produced items are inspected immediately. Defective items are stocked and reworked at the end of the production uptime. The new production run is started when the inventory level reaches zero at the end of T2a time period.

Mathematical Model
Numerical Examples and Sensitivity Analysis
Conclusions

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