Mixed integer programming model formulations for dynamic multi-item multi-level capacitated lotsizing

Article Abstract:

The performance of five mixed integer programming models of the dynamic multi-item, multi-level lotsizing problem are compared with respect to the bounds obtained from their respective linear programming relaxations using the MIP software XPRESS-MP. The five are known as inventory and lotsize, extended inventory and lotsize, shortest route, simple plant location, and inventory change models. The latter is based on explicit characterizations of end-of-period inventory changes.

Optimization theory, Mathematical programming

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A general approximation for the single product lot sizing model with queueing delays

Article Abstract:

The single-item make-to-order lot sizing problem characterized by queueing delays, non-zero setup time, and individual departure and arrival processes is considered. Specifically, general approximations of the expected lead time, lead time variance and lead time probability distribution are derived From these, the convex relationship between the expected lead time and a manufacturer's quoted lead time can be derived as a function of the lot size.

Queuing theory

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Optimal ordering policies in inventory systems with random demand and random deal offerings

Article Abstract:

The optimization of ordering policies for a dynamic finite-horizon problem with random demand and deal offerings is investigated. Specifically, the case of a firm which shares its cost savings with customers and another firm which does not share its cost savings are considered. To this end, it is found that the order policy structure has three levels, namely, an initial threshold level, a medium range, and another threshold limit.

Usage, Game theory, Dynamic programming

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