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Determining a threshold control policy for an imperfect production system with rework jobs. (English) Zbl 0922.90078

Summary: 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 \((\omega,s)\) 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 \(\omega\) 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 \(\omega\) and a lot size \(s\) that maximize the average long-term profit. The ultimate goal is to construct a simple algorithm to search for \(\omega\) and \(s\) that can be implemented directly in production management systems, as a result of this work.

MSC:

90B30 Production models
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