Many practical problems often have several objectives conflicting with each other, and we need to make a balanced decision froln the total viewpoint. For these problems, the traditional mathematical programming is not...
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Many practical problems often have several objectives conflicting with each other, and we need to make a balanced decision froln the total viewpoint. For these problems, the traditional mathematical programming is not valid, and instead the multi-objective programming have been developed. Among them, the aspiration level approach has been widely recognized to be effective in many practical fields. As one of the aspiration level approach, the author developed the satisficing trade-off method. And, he has been applying the method to several kinds of practical problems for these ten years. In this paper, a survey on applications of the method to practical problems will be given showing noteworthy points in real application
Efficient management of the natural gas grids involve a complex optimisation task to resolve conflicting operational objectives to maintain cost of effective transmission services all year round. Typical computer soft...
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Efficient management of the natural gas grids involve a complex optimisation task to resolve conflicting operational objectives to maintain cost of effective transmission services all year round. Typical computer software aids for this task divide the optimisation into several parts which are treated separately before the results are brought together for expert assessment and decision. A single, integrated suite of programs to address all aspects of the optimisation task would have obvious attractions. In this paper we describe HERO, a dynamic non-cooperative games framework for such development.
This note is a contribution to the on-going debate about the merits and demerits of goal programming. We concentrate on the special case of integer goal programming. Examples show that the approach is questionable, es...
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This note is a contribution to the on-going debate about the merits and demerits of goal programming. We concentrate on the special case of integer goal programming. Examples show that the approach is questionable, especially if used in connection with a standard branch-and-bound-based solution technique.
A systematic design approach based on applying weights to modes of failure is proposed. Representative individual failure modes are identified on the limit state surface using a nonlinear structural analysis program. ...
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A systematic design approach based on applying weights to modes of failure is proposed. Representative individual failure modes are identified on the limit state surface using a nonlinear structural analysis program. Modal failure probabilities are computed in load space (in which randomness in structural resistance is included), and linearized around mean plastic moment capacities. Single- and multi-objective formulations with objectives of failure cost and initial cost, and with mean plastic moment capacities of structural members as decision variables are used. An iterative procedure with successively tighter bounds on the decision variables is employed. The procedure is applied to a simple frame for which optimum plastic moment capacities (single-objective case) and a trade-off curve between future (failure) cost and initial cost (multi-objective case) are found.
Bank balance-sheet management entails considering competing and conflicting objectives such as maximization of returns and minimization of risks associated with alternative portfolio combinations. Traditional multi-ob...
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Bank balance-sheet management entails considering competing and conflicting objectives such as maximization of returns and minimization of risks associated with alternative portfolio combinations. Traditional multi-objective models simply provide the decision-maker with the entire set of non-dominated solutions; the decision-maker must then choose, unaided, the best solution based on his subjective trade-offs, experience and judgement. This paper develops an alternative multi-objective balance-sheet management model which allows the explicit incorporation of the decision-maker's trade-offs between conflicting objectives, and attempts to reduce his cognitive burden while ensuring that the solution obtained belongs to the set of non-dominated points.
This note shows that virtually all the multi-objective and goal-programming approaches can be thought of as special cases of a general distance-function model. Although the outcome of this paper cannot be considered c...
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This note shows that virtually all the multi-objective and goal-programming approaches can be thought of as special cases of a general distance-function model. Although the outcome of this paper cannot be considered completely new, it can, however, help increasing conceptual clarity and precision in future dialogue, showing the actual links between multi-objective programming, goal programming and traditional mathematical programming.
This study presents a unified method for selecting efficient points in vector optimization problems. The method is based upon the construction of scalar representations for vector problems with the aid of certain fami...
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The focus of this research was the development of a model to address the problem of reassigning summer construction workers to winter snow and ice removal teams in an efficient and cost-effective manner. The model is ...
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Der spieltheoretische Ansatz von JÜTTLE[R8 ] für die Berucksichtigung mehrerer linearer Zielfmktionen bei der Optimierang führt bekanntlich im allgemeinen auf eine nichteffiziente Lösung. Für ...
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作者：
SHERALI, HDSOYSTER, ALAssistant Professor
Department of Industrial Engineering and Operations Research Virginia Polytechnic Institute and State University Blacksburg Virginia Professor
Department of Industrial Engineering and Operaions Research Virginia Polytechnic Institute and State University Blacksburg Virginia
In this paper, we formally establish connections between two standard approaches proposed for resolving multi-objective programs, namely, the nonpreemptive and the preemptive methods. We demonstrate in the linear case...
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In this paper, we formally establish connections between two standard approaches proposed for resolving multi-objective programs, namely, the nonpreemptive and the preemptive methods. We demonstrate in the linear case that, if the preemptive problem has an optimal solution, then there exists a set of weights for the nonpreemptive problem, such that any optimal solution to the nonpreemptive problem is optimal to the preemptive problem. Conversely, and more importantly, any optimal solution to the preemptive problem is optimal to the nonpreemptive problem. A similar result is established for arbitrary multi-objective functions being optimized over a finite discrete set. Thus, the preemptive problem is subsumed within the nonpreemptive problem in these cases. Although we actually construct a set of equivalent weights, we do not advocate our technique as a computational device for solving the preemptive problem. However, a previous attempt (Ref. 1), which does prescribe a set of equivalent weights to solve a preemptive problem as a linear program, is shown to be erroneous. Moreover, our constructive proof exhibits the features of the problem which govern the determination of such equivalent weights.
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