1995
DOI: 10.1111/j.1467-8667.1995.tb00285.x
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An Engineering Approach to Multicriteria Optimization of Bridge Structures

Abstract: This paper presents an approach to multicriteria optimization of engineering structures and structural systems based on the use of the constraint approach for generating efficient solutions and compromise programming for selecting the “best” or satisficing solution. The criteria of minimax and minimum Euclidian distance provide the designer with a rationale for the choice of the best solution. For system optimization problems, the definition of a dominant criterion and compromise programming lead to a practica… Show more

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Cited by 11 publications
(16 citation statements)
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“…However, for p ≥2, a greater influence is given to larger deviations from the ideal solution, and L 2 represents the Euclidian metric. For p=∞, the largest deviation is the only one taken into account and is referred to as the Chebyshev metric or minimax criterion, and L ∞ corresponds to a purely individual utility (Duckstein 1984;Koski 1984;Lounis and Cohn 1995). In this paper, the Euclidean metric is used to determine the multi-objective criticality index and corresponding compromise solution.…”
Section: Formulation and Solution Of Multiobjective Sustainable Bridgmentioning
confidence: 99%
See 1 more Smart Citation
“…However, for p ≥2, a greater influence is given to larger deviations from the ideal solution, and L 2 represents the Euclidian metric. For p=∞, the largest deviation is the only one taken into account and is referred to as the Chebyshev metric or minimax criterion, and L ∞ corresponds to a purely individual utility (Duckstein 1984;Koski 1984;Lounis and Cohn 1995). In this paper, the Euclidean metric is used to determine the multi-objective criticality index and corresponding compromise solution.…”
Section: Formulation and Solution Of Multiobjective Sustainable Bridgmentioning
confidence: 99%
“…It combines engineering principles with sound business practice and economic theory for resources allocation and utilization. The actual bridge management problem can be defined as a multi-objective optimization problem (Lounis and Cohn 1995;Frangopol et al 1993;2005) in which the decision maker is seeking to select the best decisions that achieve the best tradeoffs between different competing objectives, such as maximizing public safety, minimizing environmental impacts, maximizing the levels of services and minimizing the life cycle costs.…”
Section: Introductionmentioning
confidence: 99%
“…For (p=∞), the largest deviation is the only one taken into account and is referred to as the Chebyshev metric or mini-max criterion and (L ∞ ) corresponds to a purely individual utility (Duckstein 1984;Koski 1984;Lounis and Cohn 1995). In this paper, the Euclidean metric is used to determine the multi-criteria optimality index and corresponding satisficing solution.…”
Section: Concept Of Pareto Optimalitymentioning
confidence: 99%
“…Such a solution is referred to as "satisficing" solution in the multi-objective optimization literature (Koski 1984;Lounis and Cohn 1995). The determination of this satisficing solution is discussed in the next section.…”
Section: Overview Of Multi-objective Optimization Approachmentioning
confidence: 99%
“…However, for p ≥2, a greater weight is associated with the larger deviations from the ideal solution, and L 2 represents the Euclidian metric. For p=∞, the largest deviation is the only one taken into account and is referred to as the Chebyshev metric or mini-max criterion and L ∞ corresponds to a purely individual utility (Duckstein 1984;Koski 1984;Lounis and Cohn 1995;Lounis and Vanier 2000). In this paper, both the Euclidean and the Chebyshev metrics are used to determine the multi-objective optimality index and corresponding satisficing solution.…”
Section: Decision-making Under Multiple and Conflicting Objectivesmentioning
confidence: 99%