Multiple Objective Decision Making — Methods and Applications: A State-of-the-Art Survey
Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one obje...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1979
|
Ausgabe: | 1st ed. 1979 |
Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
164 |
Schlagworte: | |
Online-Zugang: | BTU01 URL des Erstveröffentlichers |
Zusammenfassung: | Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together |
Beschreibung: | 1 Online-Ressource (XII, 358 p) |
ISBN: | 9783642455117 |
DOI: | 10.1007/978-3-642-45511-7 |
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520 | |a Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together | ||
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author | Hwang, C.-L Masud, A.S.M |
author_facet | Hwang, C.-L Masud, A.S.M |
author_role | aut aut |
author_sort | Hwang, C.-L |
author_variant | c l h clh a m am |
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bvnumber | BV046872001 |
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ctrlnum | (ZDB-2-SBE)978-3-642-45511-7 (OCoLC)863925528 (DE-599)BVBBV046872001 |
dewey-full | 658.40301 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 658 - General management |
dewey-raw | 658.40301 |
dewey-search | 658.40301 |
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dewey-tens | 650 - Management and auxiliary services |
discipline | Mathematik Wirtschaftswissenschaften |
discipline_str_mv | Mathematik Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-642-45511-7 |
edition | 1st ed. 1979 |
format | Electronic eBook |
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index_date | 2024-07-03T15:15:36Z |
indexdate | 2024-07-10T08:56:08Z |
institution | BVB |
isbn | 9783642455117 |
language | English |
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series2 | Lecture Notes in Economics and Mathematical Systems |
spelling | Hwang, C.-L. Verfasser aut Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey by C.-L. Hwang, A.S.M. Masud 1st ed. 1979 Berlin, Heidelberg Springer Berlin Heidelberg 1979 1 Online-Ressource (XII, 358 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 164 Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Entscheidungsfindung (DE-588)4113446-1 s Masud, A.S.M. aut Erscheint auch als Druck-Ausgabe 9783540091110 Erscheint auch als Druck-Ausgabe 9783642455124 https://doi.org/10.1007/978-3-642-45511-7 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Hwang, C.-L Masud, A.S.M Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory Mathematisches Modell (DE-588)4114528-8 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Entscheidungsfindung (DE-588)4113446-1 gnd |
subject_GND | (DE-588)4114528-8 (DE-588)4138606-1 (DE-588)4113446-1 |
title | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey |
title_auth | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey |
title_exact_search | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey |
title_exact_search_txtP | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey |
title_full | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey by C.-L. Hwang, A.S.M. Masud |
title_fullStr | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey by C.-L. Hwang, A.S.M. Masud |
title_full_unstemmed | Multiple Objective Decision Making — Methods and Applications A State-of-the-Art Survey by C.-L. Hwang, A.S.M. Masud |
title_short | Multiple Objective Decision Making — Methods and Applications |
title_sort | multiple objective decision making methods and applications a state of the art survey |
title_sub | A State-of-the-Art Survey |
topic | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory Mathematisches Modell (DE-588)4114528-8 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Entscheidungsfindung (DE-588)4113446-1 gnd |
topic_facet | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations research Decision making Economic theory Mathematisches Modell Entscheidungstheorie Entscheidungsfindung |
url | https://doi.org/10.1007/978-3-642-45511-7 |
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