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Solving production lot size problem with an improved delivery policy and failure in rework by a simplified solution procedure. (English) Zbl 1244.90084
Summary: A simplified solution procedure is proposed in this paper to solve a specific production lot size problem with an improved delivery policy and failure in rework. Unlike the conventional method using differential calculus with the need for proving optimality of the long run average cost function, this paper demonstrates that the optimal lot size and its related costs for the aforementioned production model can be derived without derivatives. Such an approach may enable practitioners who with little knowledge of calculus to understand with ease the realistic production-shipment integrated systems.
MSC:
90B30 Production models
90B25 Reliability, availability, maintenance, inspection in operations research
90B35 Deterministic scheduling theory in operations research
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