Algorithms for nonlinear integer bicriterion problems

DOI10.1007/BF00939577zbMath0662.90078OpenAlexW1965520743MaRDI QIDQ1114597

S. H. Smith

Publication date: 1989

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939577

zbMATH Keywords

quality controlefficient setinteractive procedurebest compromise solutionnonlinear bicriterion integer mathematical programmingTchebycheff norm related approach

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Integer programming (90C10) Sensitivity, stability, parametric optimization (90C31) Management decision making, including multiple objectives (90B50)

Related Items (10)

Interactive bicriterion solution method and its application to critical path method problems ⋮ An improved algorithm for solving biobjective integer programs ⋮ Algorithm robust for the bicriteria discrete optimization problem ⋮ An augmented weighted Tchebycheff method with adaptively chosen parameters for discrete bicriteria optimization problems ⋮ Analysis of the weighted Tchebycheff weight set decomposition for multiobjective discrete optimization problems ⋮ A new algorithm for generating all nondominated solutions of multiobjective discrete optimization problems ⋮ A multi-objective Monte Carlo tree search for forest harvest scheduling ⋮ Three algorithms for bicriteria integer linear programs ⋮ A linear bound on the number of scalarizations needed to solve discrete tricriteria optimization problems ⋮ The augmented weighted Tchebychev norm for optimizing a linear function over an integer efficient set of a multicriteria linear program

Cites Work

• A multiple criteria method for choosing among discrete alternatives
• An algorithm for the multiple objective integer linear programming problem
• Theory and algorithms for linear multiple objective programs with zero–one variables
• Multicriteria integer programming: A (hybrid) dynamic programming recursive approach
• Linear multiple objective programs with zero–one variables
• Interactive solution of bi-criteria mathematical programs
• Solving Bicriterion Mathematical Programs
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