A market game with the characteristics function according to the MRP and input-output analysis model

Article Abstract:

A study was conducted to analyze findings of material requirement planning (MRP) theory to examine a case supporting three or more players using MRP. The interdependence between final product demand and demand for assemblies, components, and subcomponents to schedule production and manage inventories was considered. The characteristic function and the Shapley value were then determined. Results indicated the feasibility of generalizing MRP theory to the case.

Materials & Handling Management, Management, Materials handling, Game theory, Material requirements planning

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Combinatorial optimization of the location-inventory problem

Article Abstract:

The joint optimization of input flows and storehouse sizes are used in the minimization of distribution and risk costs under activity allocation conditions. This is achieved through the utilization of parametrical programming and cutting plane algorithms. The results show that there is a periodical movement of demand which is represented by a continuous stochastic variable with known probability density functions.

Usage, Combinatorial optimization, Inventories

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Stochastic considerations of Grubbstrom-Molinder model of MRP, input-output and multi-echelon inventory systems

Article Abstract:

The model developed by Grubbstrom and Molinder on inventory control systems is expanded by incorporating external demand uncertainty as an assumption. The external demand's lower and upper bounds are assumed to be known and its distribution to be uniform. The expanded version results in a decision model that determines the appropriateness and practicality of carrying out market research in a particular situation.

Inventory Control, Models, Decision theory

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