Duality results for extended multifacility location problems

Optimization ◽  
2017 ◽  
Vol 67 (7) ◽  
pp. 1095-1119 ◽  
Author(s):  
Gert Wanka ◽  
Oleg Wilfer
Keyword(s):  
Location Problems ◽  
Duality Results ◽  
Multifacility Location

Minmax Regret Maximal Covering Location Problems with Edge Demands

2020 ◽  
pp. 105181
Author(s):  
Marta Baldomero-Naranjo ◽  
Jörg Kalcsics ◽  
Antonio M. Rodríguez-Chía
Keyword(s):  
Location Problems ◽  
Maximal Covering ◽  
Minmax Regret

scholarly journals Duality Theorems for (ρ,ψ,d)-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 894
Author(s):  
Savin Treanţă
Keyword(s):  
Multiobjective Optimization ◽  
Optimization Problems ◽  
Integral Functional ◽  
Multiple Integral ◽  
Control Problems ◽  
Duality Theorems ◽  
New Class ◽  
Duality Results ◽  
Multiobjective Optimization Problems ◽  
Interval Valued

The present paper deals with a duality study associated with a new class of multiobjective optimization problems that include the interval-valued components of the ratio vector. More precisely, by using the new notion of (ρ,ψ,d)-quasiinvexity associated with an interval-valued multiple-integral functional, we formulate and prove weak, strong, and converse duality results for the considered class of variational control problems.

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