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**Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs.**
*(English)*
Zbl 0924.90085

Summary: We consider a lot-sizing problem in a single-stage imperfect production system where the job processing is failure-prone. The processing may generate two types of defects: 1) reworkable defects which must be sent back for rework; 2) non-reworkable defects which are discarded immediately. The production process will switch between new jobs and rework jobs. Both new-job processing time and rework time are random. We discuss the optimal lot-sizing control, under a class of operating policies, to maximize the average profit over an infinite time horizon. We establish the existence of an optimal lot size. Furthermore, we characterize the profit function. Through the discussion, we obtain a very efficient algorithm for determining an optimal lot size.

### MSC:

90B30 | Production models |

90B25 | Reliability, availability, maintenance, inspection in operations research |

### Keywords:

imperfect production systems; lot-sizing; process switching; single-stage imperfect production system
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\textit{J. J. Liu} and \textit{P. Yang}, Eur. J. Oper. Res. 91, No. 3, 517--527 (1996; Zbl 0924.90085)

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### References:

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