Abstract
This is part 1 of a survey of recent developments in goal programming and multiple objective optimizations. In this part, attention is directed to goal programming with emphasis on the authors' own work (with others) in a variety of applications. This includes goal and goal interval programming along with definitions and examples of proper goal functionals. Characterizations are also supplied for alternate representations and explicit solutions from special structural properties involving piecewise linear functions. Possibilities for various other kinds of goal functionals are explored and delineated. One class of examples is developed in detail and an algorithm is supplied which utilizes sequences of ordinary linear programming problems to solve certain nonlinear and non-convex problems involving maxima of ratios of linear forms.
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