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ɛ-Subdifferentials of Set-valued Maps and ɛ-Weak Pareto Optimality for Multiobjective Optimization
Taa, A. - In: Mathematical Methods of Operations Research 62 (2005) 2, pp. 187-209
case with nearly subconvexlike data. A comparison with existing results is also given. Our method used a special … scalarization function, introduced in optimization by Hiriart-Urruty. Necessary and sufficient conditions for the existence of an ɛ … Pareto minimal points is established. The ɛ-subdifferential formula of the sum of two convex functions is also extended to …
Persistent link: https://www.econbiz.de/10010999943
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Optimality conditions for a unified vector optimization problem with not necessarily preordering relations
Flores-Bazán, Fabián; Hernández, Elvira - In: Journal of Global Optimization 56 (2013) 2, pp. 299-315
. Based on existing results about complete characterization by scalarization of the solution set obtained by the same authors … the convex and nonconvex case. Copyright Springer Science+Business Media, LLC. 2013 …
Persistent link: https://www.econbiz.de/10010994026
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An inner approximation method to compute the weight set decomposition of a triobjective mixed-integer problem
Halffmann, Pascal; Dietz, Tobias; Przybylski, Anthony; … - In: Journal of Global Optimization 77 (2020) 4, pp. 715-742
objectives. We propose an algorithm that returns a decomposition of the parameter set of the weighted sum scalarization by …
Persistent link: https://www.econbiz.de/10014503456
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One-exact approximate Pareto sets
Herzel, Arne; Bazgan, Cristina; Ruzika, Stefan; … - In: Journal of Global Optimization 80 (2020) 1, pp. 87-115
Persistent link: https://www.econbiz.de/10014503533
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Equilibrium in multi-criteria supply and demand networks with capacity constraints
Truong, Thi Thanh Phuong; Dinh, The-Luc - In: Mathematical methods of operations research 81 (2015) 1, pp. 83-107
Persistent link: https://www.econbiz.de/10010488928
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Efficient computation of the search region in multi-objective optimization
Dächert, Kerstin; Klamroth, Kathrin; Lacour, Renaud; … - In: European journal of operational research : EJOR 260 (2017) 3, pp. 841-855
Persistent link: https://www.econbiz.de/10011714236
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Improving the min-max method for multiobjective programming
Salmei, Hossein; Yaghoobi, Mohammad Ali - In: Operations research letters 48 (2020) 4, pp. 480-486
Persistent link: https://www.econbiz.de/10012294796
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A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures
Sayadi-bander, A.; Kasimbeyli, Refail; Pourkarimi, L. - In: Operations research letters 45 (2017) 1, pp. 93-97
Persistent link: https://www.econbiz.de/10011687230
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Necessary and sufficient conditions for Pareto efficiency in robust multiobjective optimization
Bokrantz, Rasmus; Fredriksson, Albin - In: European journal of operational research : EJOR 262 (2017) 2, pp. 682-692
Persistent link: https://www.econbiz.de/10011798861
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A new algorithm for solving planar multiobjective location problems involving the Manhattan norm
Alzorba, Shaghaf; Günther, Christian; Popovici, Nicolae; … - In: European journal of operational research : EJOR 258 (2017) 1, pp. 35-46
Persistent link: https://www.econbiz.de/10011641426