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An Iterative Approach to Goal Programming

Jerald P. Dauer, Robert J. Krueger

Open publisher page 76 citations

Abstract

An iterative approach is developed for solving general goal programming problems. This approach is then used to solve several nonlinear examples, including an integer solution problem. A dual for linear goal programming problems is developed and sensitivity analysis is discussed. Several new advances in modeling with goal programming which are made possible with this iterative approach are presented, namely least squares attainability of goals and priority dependent constraints.

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What this paper is about

An iterative approach is developed for solving general goal programming problems. This approach is then used to solve several nonlinear examples, including an integer solution problem. A dual for linear goal programming problems is developed and sensitivity analysis is discussed. Several new advances in modeling with goal programming which are made possible with this iterative approach are presented, namely least squares attainability of goals and priority dependent constraints.

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OpenAlex reports 76 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An iterative approach is developed for solving general goal programming problems. This approach is then used to solve several nonlinear examples, including an integer solution problem. A dual for linear goal programming problems is developed and sensitivity analysis is discussed. Several new advances in modeling with goal programming which are made possible with this iterative approach are presented, namely least squares attainability of goals and priority dependent constraints.

Key concepts: Mathematical optimization, Computer science, Goal programming, Integer programming, Constraint programming, Linear programming, Project management, Iterative method

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