One-batch Preempt Deterioration-effect Multi-state Multi-rework Network Reliability Problem and Algorithms

TL;DR

This paper introduces a novel one-batch preempt multi-state rework network model for industrial manufacturing, along with a BAT-based algorithm to accurately compute its reliability, validated through multiple problem applications.

Contribution

It proposes a general rework network model and a new reliability calculation algorithm based on binary addition trees, addressing practical limitations of previous models.

Findings

The BAT-based algorithm effectively calculates rework network reliability.

The model applies to various rework scenarios, demonstrating versatility.

Validation on four problems shows high accuracy and efficiency.

Abstract

A rework network is a distinct multi-state network that exists in many real-life industrial manufacturing systems for fixing defective products using rework processes to improve the utility and productivity of the systems. To provide a more general model of rework networks, a novel one-batch preempt multi-state multi-rework network is proposed to achieve real-life applications without numerous impractical and unreasonable limitations. Accordingly, a new algorithm based on two different multi-state types of binary addition tree algorithms (BATs) is proposed to calculate the reliability of the proposed rework. Furthermore, the proposed BAT-based algorithm is applied to four rework problems to validate its effectiveness and performance for the rework reliability problem.