Quadratic resource allocation with generalized upper bounds

Quadratic resource allocation with generalized upper bounds

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Article ID: iaor19982462
Country: Netherlands
Volume: 20
Issue: 2
Start Page Number: 51
End Page Number: 57
Publication Date: Feb 1997
Journal: Operations Research Letters
Authors: ,
Keywords: genetic algorithms
Abstract:

In this paper we present an algorithm for solving a quadratic resource allocation problem that includes a set of generalized upper bound (GUB) constraints. The problem involves minimizing a quadratic function over one linear constraint, a set of GUB constraints, and bounded variables. GUB constraints, when added to a standard resource allocation problem, can be used to set upper limits on the amount of a resource consumed by one or more subsets of the activities. To solve the problem, we present an efficient algorithm that solves a series of quadratic knapsack subproblems and box constrained quadratic subproblems. Computational results are reported for large-scale problems with as many as 100 000 variables and 1000 constraints. The computational results indicate that our algorithm is up to 4000 times faster than the general purpose nonlinear programming software LSGRG.

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