Determining a threshold control policy for an imperfect production system with rework jobs

✍ Scribed by Ching-Chin Chern; Ping Yang

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 675 KB
• Volume: 46
• Category: Article
• ISSN: 0894-069X
• DOI: 10.1002/(sici)1520-6750(199904)46:3<273::aid-nav3>3.0.co;2-3

✦ Synopsis

Consider a threshold control policy for an imperfect production system with only a work center handling both regular and rework jobs. An imperfect production system studied here, generates defect jobs by factors other than machine failures. A threshold control or (, s) policy sets the guideline for a work center to switch between regular and rework jobs. A production cycle begins with loading and processing of several batches of regular jobs with a lot size equal to s. The outcome of each completed regular job is an independent Bernoulli trial with three possibilities: good, rework, or scrap. Once the work center accumulates more than a threshold of rework jobs, it finishes the last batch of regular jobs and switches to rework jobs. The objective of this research is to find a threshold and a lot size s that maximize the average long-term profit. The ultimate goal is to construct a simple algorithm to search for and s that can be implemented directly in production management systems, as a result of this work.