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Indiana University Bloomington

Operations & Decision Technologies

Kelley Advantage

Our Operations, Analytics and Information Systems faculty have written many of the definitive textbooks in the areas of operations, data analysis, database management, networking, and Excel modeling.

Recent 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.