Probabilistic service level guarantees in make-to-stock manufacturing systems

Probabilistic service level guarantees in make-to-stock manufacturing systems

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Article ID: iaor20021575
Country: United States
Volume: 49
Issue: 1
Start Page Number: 119
End Page Number: 133
Publication Date: Jan 2001
Journal: Operations Research
Authors: ,
Keywords: queues: theory
Abstract:

We consider a model of a multiclass make-to-stock manufacturing system. External demand for each product class is met from the available finished goods inventory; unsatisfied demand is backlogged. The objective is to devise a production policy that minimizes inventory costs subject to guaranteeing stockout probabilities to stay bounded above by given constants εj, for each product class j (service level guarantees). Such a policy determines whether the facility should be producing (idling decisions), and if it should, which product class (sequencing decisions). Approximating the original system, we analyze a corresponding fluid model to make sequencing decisions and employ large deviations techniques to make idling ones. We consider both linear and quadratic inventory cost structures to obtain a priority-based and a generalized longest queue first-based production policy, respectively. An important feature of our model is that it accommodates autocorrelated demand and service processes, both critical features of modern failure-prone manufacturing systems.

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