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Mixed integer programming model formulations for dynamic multi-item multi-level capacitated lotsizing
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DOI：10.1016/0377-2217(95)00094-1.png)
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Abstract
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Recently there have been two new proposals to model the dynamic multi-item multi-level capacitated lotsizing problem by variable redefinitions based on either a shortest route or a simple plant location representation of the underlying decision problem. Here we will introduce an extended version of the well-known inventory and lotsize model followed by a new model formulation based on modeling the changes of end-of-period inventory levels explicitly. Secondly, we will compare the suitability of different model formulations when solving problem instances with up to 40 items and 16 periods utilizing state-of-the-art standard MTP software on a personal computer.
Keywords:
production planning
lotsize
mathematical programming
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