Search Results - equivalent single‐level mixed‐integer programming problem
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Contingency constrained phasor measurement units placement with n − k redundancy criterion: a robust optimisation approach
ISSN: 1751-8822, 1751-8830Published: The Institution of Engineering and Technology 01.03.2018Published in IET science, measurement & technology (01.03.2018)“… The resulting bi-level programming model is solved by its evolution to an equivalent single-level mixed-integer programming problem…”
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Bilevel approach for optimal location and contract pricing of distributed generation in radial distribution systems using mixed-integer linear programming
ISSN: 1751-8687, 1751-8695Published: Stevenage The Institution of Engineering and Technology 01.07.2013Published in IET generation, transmission & distribution (01.07.2013)“…In this study, a novel approach for the optimal location and contract pricing of distributed generation (DG) is presented. Such an approach is designed for a…”
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A cooperative Stackelberg game based energy management considering price discrimination and risk assessment
ISSN: 0142-0615Published: Elsevier Ltd 01.02.2022Published in International journal of electrical power & energy systems (01.02.2022)“…•Presented an energy management framework using bi-level stochastic programming.•Achieved energy interaction by a cooperative Stackelberg game model…”
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Optimal wind energy bidding strategies in real‐time electricity market with multi‐energy sources
ISSN: 1752-1424, 1752-1416, 1752-1424Published: The Institution of Engineering and Technology 01.10.2019Published in IET renewable power generation (01.10.2019)“…‐level problem into an equivalent single‐level mixed‐integer linear problem (MILP). Case studies obtained with the IEEE RTS‐24 Bus system demonstrate the effectiveness of the proposed model and the effect of scenarios on the wind power producer's profit…”
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Optimal Coordination Method for an ADN With Multiple Network-Constrained VPPs
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.01.2025Published in IEEE transactions on power systems (01.01.2025)“… incentive prices to the VPPs. In order to overcome the tractability of the solution, we transform the original multi-layer model into an equivalent…”
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A Stochastic Bilevel Model for an Electricity Retailer in a Liberalized Distributed Renewable Energy Market
ISSN: 1944-9933Published: IEEE 17.07.2022Published in IEEE Power & Energy Society General Meeting (17.07.2022)“…This article presents a short-term decision-making model for an electricity retailer using bilevel stochastic programing. In the proposed model, a liberalized…”
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Coordinated Operation Strategy of Energy Storages with Reactive Power Compensators in Joint Active and Reactive Power Market Environment
ISSN: 2227-9717, 2227-9717Published: Basel MDPI AG 01.01.2025Published in Processes (01.01.2025)“…With the ongoing integration of renewable energy and energy storage into the power grid, the voltage safety issue has become a significant challenge for the…”
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A Stochastic Bilevel Model for an Electricity Retailer in a Liberalized Distributed Renewable Energy Market
ISSN: 1949-3029, 1949-3037Published: Piscataway IEEE 01.10.2020Published in IEEE transactions on sustainable energy (01.10.2020)“…This article presents a short-term decision-making model for an electricity retailer using bilevel stochastic programing. In the proposed model, a liberalized…”
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A computational study for bilevel quadratic programs using semidefinite relaxations
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 01.10.2016Published in European journal of operational research (01.10.2016)“…•We derive equivalent Mixed Integer Linear Programming formulations. Thus, we compute optimal solutions and upper bounds…”
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A single-level mixed integer linear formulation for a bi-level discrete network design problem
ISSN: 1366-5545, 1878-5794Published: Exeter Elsevier India Pvt Ltd 01.09.2011Published in Transportation research. Part E, Logistics and transportation review (01.09.2011)“… In this paper, a single-level mixed integer linear programming (SL-MILP) formulation for bi-level DNDP is presented…”
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Trilateral Planning Model for Integrated Community Energy Systems and PV-Based Prosumers-A Bilevel Stochastic Programming Approach
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.01.2020Published in IEEE transactions on power systems (01.01.2020)“…This paper proposes a trilateral bilevel stochastic mixed integer bilevel linear programming (MIBLP…”
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A Bilevel Stochastic Programming Approach for Retailer Futures Market Trading
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.08.2009Published in IEEE transactions on power systems (01.08.2009)“… The resulting nonlinear bilevel programming formulation is transformed into an equivalent single-level mixed-integer linear programming problem…”
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On bilevel minimum and bottleneck spanning tree problems
ISSN: 0028-3045, 1097-0037Published: Hoboken, USA John Wiley & Sons, Inc 01.10.2019Published in Networks (01.10.2019)“…We study a class of bilevel spanning tree (BST) problems that involve two independent decision‐makers (DMs…”
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A Two-stage Stochastic Programming for the Integrated Emergency Mobility Facility Allocation and Road Network Design Under Uncertainty
ISSN: 1566-113X, 1572-9427Published: New York Springer Nature B.V 01.06.2025Published in Networks and spatial economics (01.06.2025)“… This study proposes a two-stage stochastic programming model that integrates the EMF allocation problem and the road network design problem for disaster preparedness…”
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A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs
ISSN: 0925-5001, 1573-2916Published: New York Springer US 15.01.2019Published in Journal of global optimization (15.01.2019)“… into its equivalent single-level formulation, then computed by a column-and-constraint generation based decomposition algorithm…”
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Outer approximation for global optimization of mixed-integer quadratic bilevel problems
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021Published in Mathematical programming (01.08.2021)“… from mixed-integer programming that are especially tailored for the bilevel context. In this paper, we consider MIQP-QP bilevel problems, i.e…”
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The follower optimality cuts for mixed integer linear bilevel programming problems
ISSN: 1432-7643, 1433-7479Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2023Published in Soft computing (Berlin, Germany) (01.08.2023)“… A new class of inequalities, the follower optimality cuts, is introduced. They are used to derive a single-level non-compact reformulation of a bilevel problem, both for the optimistic and for the pessimistic case…”
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Component replenishment planning for a single-level assembly system under random lead times: A chance constrained programming approach
ISSN: 0925-5273, 1873-7579Published: Amsterdam Elsevier B.V 01.11.2016Published in International journal of production economics (01.11.2016)“… In this regard, the present paper focuses on a single-level multi-component inventory control problem for the assembly systems replenishment under stochastic component procurement lead times…”
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Contingency-Constrained Unit Commitment With n - K Security Criterion: A Robust Optimization Approach
ISSN: 0885-8950, 1558-0679Published: IEEE 01.08.2011Published in IEEE transactions on power systems (01.08.2011)“… The resulting model is a particular instance of bilevel programming which is solved by its transformation to an equivalent single-level mixed-integer programming problem…”
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Integrating demand response market into energy/reserve market: A bilevel approach
ISBN: 9781479983131, 1479983136Published: IEEE 01.12.2014Published in 2014 Smart Grid Conference (SGC) (01.12.2014)“… For this purpose, a bilevel approach is proposed for clearing joint energy/reserve and DR markets whose upper-level problem determines system…”
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