Interval linear programming under transformations: optimal solutions and optimal value range

DOI10.1007/s10100-018-0580-5OpenAlexW2963362372WikidataQ129320820 ScholiaQ129320820MaRDI QIDQ1999501

Elif Garajová, Milan Hladík, Miroslav Rada

Publication date: 27 June 2019

Published in: CEJOR. Central European Journal of Operations Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09872

zbMATH Keywords

transformationsinterval linear programmingoptimal value rangeoptimal set

Mathematics Subject Classification ID

Operations research and management science (90Bxx)

Related Items (11)

The outcome range problem in interval linear programming ⋮ Quantifying outcome functions of linear programs: an approach based on interval-valued right-hand sides ⋮ Various approaches to multiobjective linear programming problems with interval costs and interval weights ⋮ The Worst Case Finite Optimal Value in Interval Linear Programming ⋮ The best, the worst and the semi-strong: optimal values in interval linear programming ⋮ A mean-variance portfolio selection model with interval-valued possibility measures ⋮ Editorial ⋮ Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR ⋮ Duality gap in interval linear programming ⋮ Testing weak optimality of a given solution in interval linear programming revisited: NP-hardness proof, algorithm and some polynomially-solvable cases ⋮ Checking weak optimality and strong boundedness in interval linear programming

Cites Work

• The optimal solution set of the interval linear programming problems
• Criticality analysis of activity networks under interval uncertainty
• Optimal value range in interval linear programming
• Calculating the exact bounds of optimal values in LP with interval coefficients
• Solving fixed charge transportation problem with interval parameters
• Duality gap in interval linear programming
• A note on dependency between interval linear systems
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• An interval linear programming approach for portfolio selection model
• Transformations of interval linear systems of equations and inequalities
• Linear Optimization Problems with Inexact Data

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