Constructing the set of efficient objective values in multiple objective linear programs

DOI10.1016/0377-2217(90)90011-YzbMath0706.90071MaRDI QIDQ918870

Jerald P. Dauer, Ossama A. Saleh

Publication date: 1990

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

efficient pointsfinite vectorial multiple objective linear programsPareto-efficient

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Linear programming (90C05)

Related Items (15)

Constructing the set of efficient objective values in linear multiple objective transportation problems ⋮ A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions ⋮ Unnamed Item ⋮ Outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem ⋮ Solving multiple-objective problems in the objective space ⋮ A representation of an efficiency equivalent polyhedron for the objective set of a multiple objective linear program ⋮ A representation of the set of feasible objectives in multiple objective linear programs ⋮ Constructing efficient solutions structure of multiobjective linear programming ⋮ Optimization over the efficient set using an active constraint approach ⋮ Set Optimization—A Rather Short Introduction ⋮ Hybrid approach for solving multiple-objective linear programs in outcome space ⋮ A combined constraint-space, objective-space approach for determining high-dimensional maximal efficient faces of multiple objective linear programs ⋮ Branch-and-bound variant of an outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem ⋮ On degeneracy and collapsing in the construction of the set of objective values in a multiple objective linear program ⋮ A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program

Cites Work

• Solving multiple objective linear programs in objective space
• A multi-objective optimization model for aquifer management under transient and steady-state conditions
• Analysis of the objective space in multiple objective linear programming
• A multiobjective optimization model for water resources planning
• A representation of the set of feasible objectives in multiple objective linear programs
• Multiple objective decision making - methods and applications. A state- of-the-art survey. In collaboration with Sudhakar R. Paidy and Kwangsun Yoon
• A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets
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