Abstract
Abstract. The reference point method for solving multi-criteria optimization problems is an interactive technique where the decision maker specifies requirements, similar to goal programming, in terms of aspiration levels. Ogryczak [5] showed how the reference point method could be modeled within goal programming methodology provided that the nonnegativity restrictions on weights were dropped. It allows us to consider the reference point approach as an extension of goal programming. However, in most of real-life applications of goal programming the goals are grouped according to the predefined priorities (the so-called preemptive goal programming) whereas in the reference point method all the deviations are considered to be equally important. In this paper we show how the priorities can be incorporated into the reference point method.
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References
Budnick, F.S., D. McLeavey, and R. Mojena: Principles of Operations Research for Management. IRWIN, Homewood 1988
Charnes, A., and W.W. Cooper: Management Models and Industrial Applications of Linear Programming. J.Wiley, New York 1961
Hallefjord, A., and K. Jornsten: A critical comment on integer goal programming. J. of OR Society 39 (1988) 101–104
Ignizio, J.P.: Linear Programming in Single and Multiple Objective Systems. Prentice-Hall, Englewood Cliffs 1982
Ogryczak, W.: A goal programming model of the reference point method. Annals of Operations Research 51 (1994) 33–44
Ogryczak, W., and K. Zorychta: On solving multiobjective linear programs with implicit representation of minimax scalarizing function. Archives of Control Sciences 3 (1994) 193–209
Steuer, R.E.: Multiple Criteria Optimization — Theory, Computation & Applications. J.Wiley, New York 1986
White, D.J.: A bibliography on the applications of mathematical programming multiple-objective methods. J. of OR Society 41 (1990) 669–691
W’ierzbicki, A.P.: A mathematical basis for satisficing decision making. Mathematical Modelling 3 (1982) 391–405
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© 1997 Springer-Verlag Berlin · Heidelberg
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Ogryczak, W. (1997). Preemptive Reference Point Method. In: Clímaco, J. (eds) Multicriteria Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60667-0_16
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DOI: https://doi.org/10.1007/978-3-642-60667-0_16
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