Multicriterion optimization and its utilization in agriculture
著者
書誌事項
Multicriterion optimization and its utilization in agriculture
（Developments in agricultural economics, 6）
Elsevier, 1990
- タイトル別名
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Viackriteriálna optimalizácia a jej uplatnenie v pol̕nohospodárstve
Multicriterion optimization and its application in agriculture
- 統一タイトル
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Viackriteriálna optimalizácia a jej uplatnenie v pol̕nohospodárstve
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注記
Translation of: Viackriteriálna optimalizácia a jej uplatnenie v pol̕nohospodárstve
Includes bibliographical references and index
内容説明・目次
内容説明
The focus of this publication lies in the procedures by which the problems of multicriterion optimization can be solved. Each procedure is described and defined mathematically, then demonstrated with an example. Both the positive and the negative facets of the proposed single methods are evaluated and criteria for appropriate application are given. All the methods described are divided into relatively homogenous groups on the basis of their characteristic properties. The practical applicability of separate procedures is demonstrated on models which satisfy the requirements of planning and managerial practice in agriculture. Attention is also paid to some special questions from the field of systems analysis and the theory of model construction, areas closely related to the problem being examined. In this way one can achieve a complete overview of multicriterion optimization which will enable a critical judgement of its potential effect.
目次
Introduction. 1. Optimization Models and Their Role in Economic Decision-Making. 2. Some Aspects of Model Construction in Agriculture. Theoretical Parameters of the Systems Approach. Economic-Mathematical Model as a Tool for Representing Economic Systems. Economic-Mathematical Modelling in Retrospective and Perspective Views. 3. Goal-Directed Character of Economic Systems and its Relation to Optimization Criteria. Basic Terms and Some Aspects of Problems in Goal Analysis. Classification of Goals and Its Importance to Economic-Mathematical Modelling. Evaluation, Formalization and Properties of Goals. Goal Boundaries and Goal Changes. 4. Optimization Criteria in Mathematical Modelling of Economic Systems. The Choice and the Postulated Properties of Optimization Criteria. Classification, Mathematical Formulation and Interpretation of Optimization. Criteria. Optimization Criteria in Economic-Mathematical Models Applied to Agricultural Conditions. Simple optimization criteria. Simple maximization criteria of optimality. Simple minimization criteria of optimality. Compound optimization criteria. 5. Multicriterion Optimization. The Problems and Importance of Multicriterion Optimization. Methods (Procedures) of Multicriterion Optimization in Linear Programming Models. Methods based on the aggregation of criterion functions. Aggregation on the basis of the products (quotients) of coefficients of criterion functions. Aggregation on the basis of the convex combination of criterion functions. Aggregation based on the construction of the difference (sum) criterion functions. Aggregation of optimization criteria based on the construction of fractional linear function. Procedures based on the interchange of criterion. Procedures based on the comparison, analysis and suitable combination of solutions obtained by partial optimization. Procedure based on stepwise partial optimization and simultaneous suboptimization. Procedure based on sensitivity matrix analysis. Procedures based on the comparative and decision-making analysis. Procedure based on the minimization of the deviation function. Procedures based on the formation of convex linear combinations obtained by partial optimization. The method of step-by-step approximation. Minimax method. Multicriterion Optimization and Goal-Programming. Interactive Methods of Multicriterion Optimization. Multicriterion Optimization in Models of Conflict Situations. The substance and significance of conflict situations in economic decision-making. The main types of conflict situation and the criteria for optimal decision-making. Games with goal-directed participants. Games against nature. Decision-making with risks. Decision-making with uncertainty. Evaluation of the Different Procedures of Multicriterion Optimization and Principles of Choosing Them.
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