Tropical analogues of a Dempe-Franke bilevel optimization problem [PDF]
, 2019 We consider the tropical analogues of a particular bilevel optimization problem studied by Dempe and Franke and suggest some methods of solving these new tropical bilevel optimization problems.
B Schutter De +7 more
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Impact of Equipment Failures and Wind Correlation on Generation Expansion Planning [PDF]
, 2014 Generation expansion planning has become a complex problem within a deregulated electricity market environment due to all the uncertainties affecting the profitability of a given investment.
Ding, Yi +3 more
core +1 more source
Complexity of fuzzy answer set programming under Łukasiewicz semantics [PDF]
, 2014 Fuzzy answer set programming (FASP) is a generalization of answer set programming (ASP) in which propositions are allowed to be graded. Little is known about the computational complexity of FASP and almost no techniques are available to compute the ...
Blondeel, Marjon +3 more
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On generalized semi-infinite optimization and bilevel optimization [PDF]
, 2000 The paper studies the connections and differences between bilevel problems (BL) and generalized semi-infinite problems (GSIP). Under natural assumptions (GSIP) can be seen as a special case of a (BL). We consider the so-called reduction approach for (
Stein, O., Still, G.J.
core +6 more sources
Partially-shared pessimistic bilevel multi-follower programming: concept, algorithm, and application
Journal of Inequalities and Applications, 2016 When multiple followers are involved in a bilevel programming problem, the leader’s decision will be affected by the reactions of these followers. For actual problems, the leader in general cannot obtain complete information from the followers so that he
Yue Zheng, Zhihui Zhu, Liuyang Yuan
doaj +1 more source
Fuzzy Relation Bilevel Optimization Model in the Wireless Communication Station System
IEEE Access, 2020 In order to minimize the intensity of electromagnetic radiation, as well as the operation cost of the base stations in a wireless communication station system, we construct a bilevel programming problem with max-product fuzzy relation inequalities ...
Jianjun Qiu +3 more
doaj +1 more source
Sufficient Optimality Conditions in Bilevel Programming [PDF]
Mathematics of Operations Research, 2021 This paper is concerned with the derivation of first- and second-order sufficient optimality conditions for optimistic bilevel optimization problems involving smooth functions. First-order sufficient optimality conditions are obtained by estimating the tangent cone to the feasible set of the bilevel program in terms of initial problem data.
Patrick Mehlitz, Alain B. Zemkoho
openaire +4 more sources
A new solution algorithm for solving rule-sets based bilevel decision problems [PDF]
, 2012 Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd. Bilevel decision addresses compromises between two interacting decision entities within a given hierarchical complex system under distributed environments.
He, Q, Lu, J, Shi, Z, Zhang, G, Zheng, Z
core +1 more source
A linear fractional bilevel programming problem with multichoice parameters
Croatian Operational Research Review, 2017 A bilevel programming problem (BLPP) is a hierarchical optimization problem where the constraint region of the upper level is implicitly determined by the lower level optimization problem.
Ritu Arora, Kavita Gupta
doaj +1 more source
Bilevel programming for price-based electricity auctions: a revenue-constrained case
EURO Journal on Computational Optimization, 2015 This paper describes the application of bilevel programming to a class of real-life problems in the field of electric power systems. Within the context of electricity markets, market-clearing procedures, i.e., auction models, are used by an independent ...
Ricardo Fernández-Blanco +2 more
doaj +1 more source