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Goal programming and Pareto efficiency
Mehrdad Tamiz,Dylan Jones +1 more
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Simplex-based methods for efficient detection of inefficiency and unboundedness are given and two new methods for restoration, based on preference information given by the decision maker are detailed.Abstract:
This paper examines the concepts of detection and restoration of pareto efficiency to pareto inefficient goal programmes. An overview of the subject is given and pareto efficiency is defined in terms of objectives, priority levels, and the overall model. The concept of pareto unboundedness in introduced. Simplex-based methods for efficient detection of inefficiency and unboundedness are given. Two new methods for restoration, based on preference information given by the decision maker are detailed. The performance of these techniques is analysed on a set of goal programmes.read more
Citations
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The MOORA method and its application to privatization in a transition economy
TL;DR: MOORA (Multi-Objective Optimization on the basis of Ratio Analysis) refers to a matrix of responses of alternatives to objectives, to which ratios are applied, and all alternatives are ranked, according to the obtained ratios.
Journal ArticleDOI
Goal programming for decision making: an overview of the current state-of-the-art
TL;DR: Modelling techniques such as detection and restoration of pareto efficiency, normalisation, redundancy checking, and non-standard utility function modelling are overviewed, and the rationality of ranking Multi-Criteria Decision Making techniques is discussed.
Journal ArticleDOI
Multi‐objective decision‐making for road design
TL;DR: In this article, the authors developed and implemented a methodology for multi-objective optimization of multi-alternative decisions in road construction, based on a matrix of alternative responses on the objectives.
Journal ArticleDOI
Goal programming, compromise programming and reference point method formulations : linkages and utility interpretations
TL;DR: This paper looks at connections between the multi-criteria techniques of goal programming, compromise programming, and the reference point method and the utility function structure of each method is examined.
Journal ArticleDOI
Aggregation of preferences in an environmental economics context: a goal-programming approach
Pedro Linares,Carlos Romero +1 more
TL;DR: In this article, a methodology based upon goal programming is proposed for aggregation of individual preferences provided by several social groups towards different criteria in a cardinal manner, where the main feature of the procedure lies in the easy utility interpretation of the social consensus obtained.
References
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Book
Multiple Criteria Optimization: Theory, Computation, and Application
TL;DR: Mathematical Background Topics from Linear Algebra Single Objective Linear Programming Determining all Alternative Optima Comments about Objective Row Parametric Programming Utility Functions, Nondominated Criterion Vectors and Efficient Points Point Estimate Weighted-sums Approach.
Journal ArticleDOI
A review of Goal Programming and its applications
TL;DR: This paper presents a review of the current literature on the branch of multi-criteria decision modelling known as Goal Programming (GP), and the result of investigations of the two main GP methods, lexicographic and weighted GP together with their distinct application areas is reported.
Journal ArticleDOI
Interactive Sequential Goal Programming
Abu S.M. Masud,Ching-Lai Hwang +1 more
TL;DR: The method, called Interactive Sequential Goal Programming (ISGP), combines and extends the attractive features of both Goal Programming and interactive solution approaches for MODM problems and is applicable to both linear and non-linear problems.