Abstract

In this study, the model concerning a negative binomial sampling inspection plan is proposed and applied to an imperfect production system with assemble-to-order configuration, where the production system is subject to a Weibull deteriorating process and is operated under an in-control or an out-of-control state. The proposed model of this study contributes to developing an approach which can effectively integrate the considerations of the production system status, the defective rate, the working efficiency of employees, and the market demands with an aim to determine the optimal number of conforming items for inspection with minimum total cost, and the results can be practically applied to the assembly of products in various industries, especially for the prevalent Industry 4.0 in manufacturing.

Highlights

  • Intelligent systems are commonly employed in the manufacturing industry and allow production machines to be more settled and operated

  • The production lots are required to undergo reliable quality control, which can be achieved by a well-designed quality inspection plan

  • The model concerning an negative binomial sampling inspection (NBSI) plan is proposed and applied to an imperfect production system that underwent a process of Weibull deterioration

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Summary

Introduction

Intelligent systems are commonly employed in the manufacturing industry and allow production machines to be more settled and operated. Note that the imperfect production system may produce both conforming and defective items In this regard, managers are supposed to select an appropriate inspection plan, suitable for the manufacturing process, for detecting product quality with reasonable costs. The adoption of such a strategy led to different types of costs with respect to both states, which contributed to the minimization of the total cost at the optimal production run length The results of these studies suggest that while a quality inspection plan is generally applied to an imperfect production system, managers need to find ways to provide it with the necessary support and take notice of the changes in the relevant costs corresponding to a specific plan. The policy of free replacement warranty is provided during the warranty period w

Production Cost
Inspection and Correction Costs
Inventory Holding Cost and Market Demand
Warranty Cost
Warranty Cost under the In-Control State
Warranty Cost under the Out-of-Control State
Numerical Application
Findings
Conclusions
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