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Wyszukujesz frazę "KKT conditions" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Optimality conditions in multiobjective programming problems with interval valued objective functions
Autorzy:
Ahmad, I.
Singh, D.
Dar, B. A.
Powiązania:
https://bibliotekanauki.pl/articles/206566.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
interval valued functions
gH-differentiablity
Pareto optimal solutions
pseudoconvexity
KKT optimality conditions
Opis:
We devote this paper to study of multiobjective programming problems with interval valued objective functions. For this, we consider two order relations LU and LS on the set of all closed intervals and propose several concepts of Pareto optimal solutions and generalized convexity. Based on generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.
Źródło:
Control and Cybernetics; 2015, 44, 1; 19-45
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust bi-level optimization for an opportunistic supply chain network design problem in an uncertain and risky environment
Autorzy:
Golpîra, H.
Powiązania:
https://bibliotekanauki.pl/articles/406601.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
supply chain management
production-distribution planning
conditional value at risk
bilevel programming
robust optimization
KKT conditions
zarządzanie łańcuchem dostaw
planowanie produkcji
planowanie dystrybucji
optymalizacja
warunki KKT
Opis:
This paper introduces the problem of designing a single-product supply chain network in an agile manufacturing setting under a vendor managed inventory (VMI) strategy to seize a new market oppor-tunity. The problem addresses the level of risk aversion of the retailer when dealing with the uncertainty of market related information through a conditional value at risk (CVaR) approach. This approach leads to a bilevel programming problem. The Karush–Kuhn–Tucker (KKT) conditions are employed to trans-form the model into a single-level, mixed-integer linear programming problem by considering some relaxations. Since realizations of imprecisely known parameters are the only information available, a data-driven approach is employed as a suitable, more practical, methodology of avoiding distribu-tional assumptions. Finally, the effectiveness of the proposed model is demonstrated through a numer-ical example
Źródło:
Operations Research and Decisions; 2017, 27, 1; 21-41
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Combined Reformulation of Bilevel Programming Problems
Autorzy:
Pilecka, Maria
Powiązania:
https://bibliotekanauki.pl/articles/1373548.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
bilevel programming
value function reformulation
KKT reformulation
constraint qualifications
optimality conditions
Opis:
In J. J. Ye and D. L. Zhu proposed a new reformulation of a bilevel programming problem which compounds the value function and KKT approaches. In partial calmness condition was also adapted to this new reformulation and optimality conditions using partial calmness were introduced. In this paper we investigate above all local equivalence of the combined reformulation and the initial problem and how constraint qualifications and optimality conditions could be defined for this reformulation without using partial calmness. Since the optimal value function is in general nondifferentiable and KKT constraints have MPEC-structure, the combined reformulation is a nonsmooth MPEC. This special structure allows us to adapt some constraint qualifications and necessary optimality conditions from MPEC theory using disjunctive form of the combined reformulation. An example shows, that some of the proposed constraint qualifications can be fulfilled.
Źródło:
Schedae Informaticae; 2012, 21; 65-79
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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