A multicriteria problem of distribution of bounded resources
- PDF / 69,305 Bytes
- 4 Pages / 595.276 x 793.701 pts Page_size
- 89 Downloads / 208 Views
BRIEF COMMUMICATIONS A MULTICRITERIA PROBLEM OF DISTRIBUTION OF BOUNDED RESOURCES UDC 519.9
A. N. Voronin
Abstract. The problem of distribution of a given global resource is considered under constraints imposed from below on partial resources. It is shown that the problem lies in constructing an adequate criterion function for the optimization of the resource distribution process under resource boundedness conditions. The problem is solved by a multicriteria optimization method with the use of a nonlinear trade-off scheme. A model example is given. Keywords: distribution of resources, multicriteria optimization, resource boundedness, nonlinear trade-off scheme. PROBLEM CONTENT In various management spheres, a topical problem is the distribution of resources between separate directions (objects) that provides the most efficient functioning of objects under definite circumstances. This problem is often solved subjectively on the basis of experience and professional decision-maker (DM) qualification. In simple situations, this approach could turn out to be justified. However, if there exists many directions (objects) and in special cases, the cost of a wrong administrative decision increases dramatically. The need arises for the development of formalized decision-making support methods for the competent distribution of resources between objects with allowance for all given circumstances. One of such circumstances is the boundedness of resources. The case when the total (global) resource to be distributed between separate objects is bounded from above is most widespread. In [1], in particular, the problem of redistribution of funds is considered in the case of a decrease in the predesigned amount of financing projects. In practical cases, constraints are imposed not only on a global resource but also on partial resources allocated to separate objects. In this case, constraints can be imposed both from below and from above. The case when partial resources are bounded from below is of the most interest. Constraints of this kind take place in many object domains. In particular, physicians and physiologists know that the critical mass of separate organs and tissues required for supporting life of an organism amounts to 15% of its normal size for liver, 25% for kidneys, 35% for erythrocytes, 45% for lungs, and 70% for the circulating plasma volume. If these amounts became less than the mentioned lower bounds, then changes in the organism become irreversible. This article considers the optimization problem of distribution of a global resource under constraints from below imposed on partial resources. Let us consider an example. To perform several flights to different destinations, an airport has a definite fuel resource to be distributed between airplanes. For each flight, there is a lower limit below which it is meaningless to allocate fuel since the corresponding airplane will not reach its destination. But if the amount of the allocated fuel exceeds the lower limit for such a flight, then the airplane has the possibilit
Data Loading...
