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Indiana University Bloomington

Center for the Business of Life Sciences

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Our Life Sciences Research Fellows are academic all-stars who focus on the business and economic issues and challenges faced by life sciences companies.

Publications

Journal Articles

Quadratic Resource Allocation with Generalized Upper Bounds

1997, Operations Research Letters

Kurt M. Bretthauer, B. Shetty

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.

Citation

Bretthauer, K. and B. Shetty (1997), "Quadratic Resource Allocation with Generalized Upper Bounds," Operations Research Letters, Vol. 20, pp. 51-57.