Affiliation:
1. Institute of Automatic Control and Information Technology, Faculty of Electrical Engineering and Computer Science, Cracow University of Technology
Abstract
The subject of this paper is the inventory-production problem, which is a one
of the optimization problems in a decision area in which inventory volume
and production volume are considered together. There are many approaches
to this problem but for the first time, this problem is modelled by means of
a capacitated graph network and a solution to the problem is proposed on
the basis of this model which consists of finding the maximum flow with the
minimum sum of production and inventory cost. In this article, only a solution
for one kind of product for the deterministic inventory-production optimisation
problem is presented and for this one kind of product, a maximum flow with
a minimum cost for each considered demand period is calculated. The maximum
flow with minimum cost is a solution to the homogenous inventory-production
optimisation problem. The solution to the one kind of product for the inventoryproduction
problem consist of maximum flow with minimum cost for a total
demand from all periods, which has been taken into consideration.
Publisher
Cracow University of Technology
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