Interval oriented multi-section techniques for global optimization

DOI10.1016/j.cam.2008.05.025zbMath1158.65041OpenAlexW1992031787MaRDI QIDQ1002180

S. K. Mahato, Asoke Kumar Bhunia, Samiran Karmakar

Publication date: 25 February 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.025

zbMATH Keywords

global optimizationdecision theorynumerical examplesinterval arithmeticprogramorder relationsinterval rankingmulti-section method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interval and finite arithmetic (65G30) Software, source code, etc. for problems pertaining to operations research and mathematical programming (90-04)

Related Items

A new multi-section based technique for constrained optimization problems with interval-valued objective function, An efficient interval computing technique for bound-constrained uncertain optimization problems, A new hybrid method for solving global optimization problem, An alternative optimization technique for interval objective constrained optimization problems via multiobjective programming, A multi-objective production inventory model with backorder for fuzzy random demand under flexibility and reliability, On constrained optimization by interval arithmetic and interval order relations, Reliability stochastic optimization for a series system with interval component reliability via genetic algorithm, Some optimality criteria of interval programming problems, Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization, Extended Nondominated Sorting Genetic Algorithm (ENSGA-II) for Multi-Objective Optimization Problem in Interval Environment

Cites Work

• Unnamed Item
• Unnamed Item
• Multiobjective programming in optimization of interval objective functions -- a generalized approach
• Min-transitivity of fuzzy leftness relationship and its application to decision making
• Heuristic rejection in interval global optimization
• New interval analysis support functions using gradient information in a global minimization algorithm
• A hybrid algorithm for identifying global and local minima when optimizing functions with many minima.
• Multisection in interval branch-and-bound methods for global optimization. II: Numerical tests
• Multisection in interval branch-and-bound methods for global optimization. I: Theoretical results
• On comparing interval numbers
• Ordering of intervals and optimization problems with interval parameters
• A new crossover operator for real coded genetic algorithms
• On an efficient use of gradient information for accelerating interval global optimization algorithms
• Generalized subinterval selection criteria for interval global optimization
• Two-objective method for crisp and fuzzy interval comparison in optimization
• Multiobjective programming in optimization of the interval objective function
• Interval-arithmetic-oriented interval computing technique for global optimization