A WIN-WIN approach to multiple objective linear programming problems

Interactive decision making arose as a means to overcome the uncertainty concerning the decision maker's (DM) value function. So far the search is confined to nondominated alternatives, which assumes that a win-lose strategy is adopted. The purpose of this paper is to suggest a complementary in...

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Bibliographic Details
Published in:The Journal of the Operational Research Society Vol. 60; no. 5; pp. 728 - 733
Main Authors: Junior, H V, Lins, M P E
Format: Journal Article
Language:English
Published: London Taylor & Francis 01.05.2009
Palgrave Macmillan
Palgrave Macmillan UK
Taylor & Francis Ltd
Subjects:
Algorithms
Applied sciences
Business and Management
Decision making
Decision theory. Utility theory
Direction vectors
Exact sciences and technology
interactive methods
interior point methods
Interior points
Iterative solutions
Linear programming
Management
Mathematical programming
Mathematical vectors
Matrices
multi-objective
Objective functions
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
optimization
Polytopes
Studies
Technical Note
Technical Notes
WIN-WIN approach
interior point methods
interactive methods
optimization
WIN-WIN approach
multi-objective
Interactive programming
Decision support system
Decision making
Multiobjective programming
Interior point method
Linear programming
Optimization
Uncertain system
Objective function
ISSN:0160-5682, 1476-9360
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Summary:Interactive decision making arose as a means to overcome the uncertainty concerning the decision maker's (DM) value function. So far the search is confined to nondominated alternatives, which assumes that a win-lose strategy is adopted. The purpose of this paper is to suggest a complementary interactive algorithm that uses an interior point method to solve multiple objective linear programming problems. As the algorithm proceeds, the DM has access to intermediate solutions. The sequence of intermediate solutions has a very interesting characteristic: all of the criteria are improved, that is, a solution , that follows another solution , has the values of all objectives greater than those of . This WIN-WIN feature allows the DM to reach a nondominated solution without making any trade-off among the objective functions. However, there is no impediment in proceeding with traditional multiobjective methods.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0160-5682
1476-9360
DOI:10.1057/palgrave.jors.2602589