SURROGATE WORTH TRADE OFF METHOD’S REVIEW, APPLICATIONS AND EXTENSION
Kazemi M., Shooshtarian Z.
Abstract: One of the most areas of research in recent years, is decision making methodologies under conflicting multi-objective. Due to this, several techniques have been developed. Among them, Surrogate Worth Trade – Off (SWT) method is interested to solve the multi-objective problem by analysts and researchers. This paper intends to review and application of Surrogate Worth Trade – Off technique. The SWT method is one approach that provides an interference between the decision maker’s preferences and the mathematical models associated with the non-dominated solutions. In the final part of this work a method is proposed in order to use SWT technique with multiple decision –makers.
Keywords: Surrogate worth Function, Trade-Off Function, Multi-objective , Group Decision Making
In recent years , decision makers and analysts face to many problems with more than one objective .There is no single accepted approach to solve the multi-objective optimization problems .Because of the conflicting nature of objective functions, using one objective method to solve the multi- objective , lead us to situation where the optimization of one of these, may adversely affect the optimization of others. Due to this, decision making methodologies under conflicting multiple objectives have been developed . Multiple objectives decision making (MODM) methods are often used to solve the problems with conflict objectives and large set of alternative.
Among these methods , Surrogate Worth Trade – Off (SWT)method has been used in the several areas of research. This method proposed by Haimes , Hall and Freedom in 1975 for decision making in water resource systems. The original version of SWT is not interactive .Shimizu and others  proposed an interactive version of the SWT method .
The general philosophy taken in the interactive approach is that the multi-objective decision making process should follow the three steps procedure:
Generate Pareto optimal solution.
Obtain meaningful information to interact with the decision maker.
use information obtained in step 2 to interact with DM and select the final solution based on the DM preference response.
The “SWT “ method uses the ε – constrain problem as a means of generating Pareto solutions. Objective trade- offs , whose values can be easily obtained from the values of some strictly positive multipliers from step 1 are used as the information carrier in step 2.And in step 3 , the DM responds by expressing his degree of preference over the prescribed trade – offs by assigning numerical values to each surrogate worth function.
SWT emphasizes generation of a range of solutions and trade-offs to be presented to the decision maker for consideration. The main purpose of this method is to produce the set of effective solutions and the analyst helps DM choose the best compromise or most preferred solution.
SWT method could be applied to both discrete and continuous decision-problem scenarios .In continuous problems , a predefined set of alternatives is not available, but discrete problem is characterized by a predefined set of alternatives.This method allows a decision maker to select the best possible options from a larger number of all available alternatives.
more in full version
In recent years, organizations face to multi-objective decision making due to variable , dynamic and complex environment. There is no single accepted approach to solve the multi-objective optimization problems .Because of this, several techniques have been developed. One of these techniques , is Surrogate Worth Trade – Off (SWT) method that is interested to solve the multi-objective problem by analysts and researchers . SWT method proposed by Haimes , Hall and Freedom in 1975 for decision making in water resource systems .It is an interactive approach that includes 3 steps ,such as; Generate Pareto optimal solution , Obtain meaningful information to interact with the decision maker and use information obtained in step 2 to interact with DM and select the final solution based on the DM preference response.
Surrogate worth trade off method is used to solve the problem in different situations and several areas of studies by analysts and researchers. SWT method is applied to solve the static two-objective problems, static n-objective problems, dynamic two-objective problems and dynamic n-objective problems .
This paper, intends to describe the SWT method ,review of literature, applications and extension of this method to solve the multi-objective problems with group decision making.
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PRZEGLĄD METODY „SURROGATE WORTH TRADE-OFF”, APLIKACJE I ROZSZERZENIA
Jednym z najbardziej ważnych obszarów badań w ciągu ostatnich lat, jest metodologia podejmowania decyzji w przypadku wielu sprzecznych celów. W związku z tym, opracowano kilka technik. Wśród nich występuje metoda Surrogate Worth Trade-off – która koncentruje się na rozwiązaniu złożonego przez wielu naukowców i analityków. Niniejszy artykuł ma na celu przegląd i sposób stosowania tej metody. Metoda SWT to podejście, które zapewnia zakłócenia między preferencjami decydenta i modeli matematycznych związanych z niedominującymi rozwiązaniami. W końcowej części artykułu, zaproponowana została metoda w celu wykorzystania SWT przy podejmowaniu wielu decyzji.
Słowa kluczowe: Funkcjonowanie Surrogate Worth, funkcje trade-off, cele wielorakie, grupa decydentów