Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634203 | Applied Mathematics and Computation | 2008 | 7 Pages |
Abstract
In this paper we treat a resource allocation model defined on an infinite interval. We show that the solution of the corresponding problem with finite horizon cannot be extended to a solution of the infinite horizon problem, since the resource allocation problem in the unmodified setting does not have a solution on an unbounded interval. To change this situation we bring an additional state constraint into the model which contains a weight function. The new problem, called now the adapted resource allocation problem, has an optimal solution which will be identified by means of the duality concept of Klötzler.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Valeriya Lykina, Sabine Pickenhain, Marcus Wagner,