On the Pareto Optimality in Goal Programming

The Multiple Objective Programming (MOP) problem seeks to optimize simultaneously a set of incommensurable and conflicting objectives under some constraints. Available in many versions, the GP model is the most known model of the MOP. Supported by a network of researchers and practitioners, GP is alive today more than ever, and is continually fed with theoretical developments and new applications with resounding success. The standard version of the GP model was introduced at the earliest of 1960s (Charnes et al.; 1955; Charnes and Cooper,1961). Since then, important extensions and numerous applications have been proposed. A quite good literature review of the GP model is given by Charnes and Cooper (1977), Lee (1973), Kornbluth (1973), Lin (1980), Ignizio (1976, 1978, 1982), Widhelm (1981), Zeleny (1982, 1983), Romero (1991), Min and Storbeck (1991), Schniederjans (1995), Tamiz et al. (1995, 1998) and Aouni and Kettani (2001).

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