We consider a single-product inventory system that serves multiple demand classes, which differ in their shortage costs or service level requirements. We assume a critical-level control policy, and show the equivalence between this inventory system and a serial inventory system. Based on this equivalence, we develop a model for cost evaluation and optimization, under the assumptions of Poisson demand, deterministic replenishment lead-time, and a continuous-review (Q, R) policy with rationing. We propose a computationally-efficient heuristic and develop a bound on its performance. We provide a numerical experiment to show the effectiveness of the heuristic and the value from a rationing policy. Finally, we describe how to extend the model to permit service times, and to embed within a multi-echelon setting.
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/17071 |
| Date | 27 May 2005 |
| Creators | Arslan, Hasan, Graves, Stephen C., Roemer, Thomas |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Working Paper |
| Format | 221141 bytes, application/pdf |
| Relation | MIT Sloan School of Management Working Paper;4542-05 |
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