Box-triangular multiobjective linear programs for resource allocation with application to load management and energy market problems.

DOI10.1016/S0895-7177(03)80001-8zbMath1048.91081MaRDI QIDQ1410897

Petr Ya. Ekel, Efim A. Galperin

Publication date: 15 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

Pareto solutionBalance set

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Resource and cost allocation (including fair division, apportionment, etc.) (91B32)

Related Items

Fuzzy preference modeling and its application to multiobjective decision making, Fuzzy set based multiobjective allocation of resources and its applications, Multicriteria analysis in decision making under information uncertainty, Decision making in a fuzzy environment and its application to multicriteria power engineering problems, On multicriteria decision making under conditions of uncertainty, Multicriteria analysis based on constructing payoff matrices and applying methods of decision making in fuzzy environment, Algorithms of discrete optimization and their application to problems with fuzzy coefficients, Fuzzy set-based multiobjective allocation of resources: Solution algorithms and applications

Cites Work

• Goal-optimal Pareto solution of multiobjective linear programs and its computing with standard single objective LP software
• Theory of multiobjective optimization
• Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
• Nonscalarized multiobjective global optimization
• Pareto analysis vis-à-vis balance space approach in multiobjective global optimization
• Equivalence of balance points and Pareto solutions in multiple-objective programming
• Fuzzy sets and models of decision making.
• Min-max formulation of the balance number in multiobjective global optimization.
• Balance space in airport construction: Application to the North Sea island option for Schiphol Airport
• Methods of decision making in fuzzy environment and their applications.
• Retrieval and use of the balance set in multiobjective global optimization
• Optimal maintenance headcount allocation: an application of Chebyshev Goal Programming
• Decision-Making in a Fuzzy Environment
• Duality of nonscalarized multiobjective linear programs: dual balance, level sets, and dual clusters of optimal vectors.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item