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Artykuły w czasopismach na temat „Bilevel optimal control”

Autor: Grafiati

Data publikacji: 23 listopada 2024

Data aktualizacji: 31 lipca 2025

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1

Mehlitz, Patrick, and Gerd Wachsmuth. "Weak and strong stationarity in generalized bilevel programming and bilevel optimal control." Optimization 65, no. 5 (2015): 907–35. http://dx.doi.org/10.1080/02331934.2015.1122007.

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2

Ye, Jane J. "Optimal Strategies For Bilevel Dynamic Problems." SIAM Journal on Control and Optimization 35, no. 2 (1997): 512–31. http://dx.doi.org/10.1137/s0363012993256150.

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3

Bonnel, Henri, and Jacqueline Morgan. "Semivectorial Bilevel Convex Optimal Control Problems: Existence Results." SIAM Journal on Control and Optimization 50, no. 6 (2012): 3224–41. http://dx.doi.org/10.1137/100795450.

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Dempe, S. "Computing optimal incentives via bilevel programming." Optimization 33, no. 1 (1995): 29–42. http://dx.doi.org/10.1080/02331939508844061.

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5

Ye, Jianxiong, and An Li. "Necessary optimality conditions for nonautonomous optimal control problems and its applications to bilevel optimal control." Journal of Industrial & Management Optimization 13, no. 5 (2017): 1–21. http://dx.doi.org/10.3934/jimo.2018101.

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6

Atiya Wardil *, Othman, and Samera Khaleel Ibrahim. "The Bi-level Programming Approach to Improve the Inventory Control System with a Practical Application." Journal of Economics and Administrative Sciences 30, no. 142 (2024): 509–31. http://dx.doi.org/10.33095/gd8dy062.

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In this research, we investigated addressing the challenges associated with the seasonal allergic medical drug inventory system. The focus was on determining the optimal demand by calculating the Economic Order Quantity (EOQ) and achieving the lowest cost within the Pharmaceutical Industries and Medical Supplies company in Samarra. The primary objective was to efficiently meet the demand for seasonal allergy medications by identifying the optimal demand for medical drugs. The study encompassed two types of seasonal allergy medications, namely Samatifen drink and VALIAPAM 2 pills. The calculati

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7

Lin, Hongzhi. "Optimal Design of Cordon Sanitaire for Regular Epidemic Control." Advances in Civil Engineering 2021 (June 1, 2021): 1–11. http://dx.doi.org/10.1155/2021/5581758.

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The outbreak of COVID-19 has disrupted our regular life. Many state and local authorities have enforced a cordon sanitaire for the protection of sensitive areas. Travelers can only travel across the cordon after being qualified. This paper aims to propose a method to determine the optimal deployment of cordon sanitaire in terms of the number of parallel checkpoints at each entry link for regular epidemic control. A bilevel programming model is formulated where the lower-level is the transport system equilibrium with queueing to predict traffic inflow, and the upper-level is queueing network op

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8

Chen, Yi, Kadhim Hayawi, Meikai Fan, et al. "A Bilevel Optimization Model Based on Edge Computing for Microgrid." Sensors 22, no. 20 (2022): 7710. http://dx.doi.org/10.3390/s22207710.

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With the continuous progress of renewable energy technology and the large-scale construction of microgrids, the architecture of power systems is becoming increasingly complex and huge. In order to achieve efficient and low-delay data processing and meet the needs of smart grid users, emerging smart energy systems are often deployed at the edge of the power grid, and edge computing modules are integrated into the microgrids system, so as to realize the cost-optimal control decision of the microgrids under the condition of load balancing. Therefore, this paper presents a bilevel optimization con

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9

Lu, Zhichao, Kalyanmoy Deb, and Ankur Sinha. "Uncertainty Handling in Bilevel Optimization for Robust and Reliable Solutions." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 26, Suppl. 2 (2018): 1–24. http://dx.doi.org/10.1142/s0218488518400093.

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Uncertainties in variables and parameters cause optimization problems to move away from globally-optimal and uncertain solutions. Practitioners resort to finding robust and reliable solutions in such situations. Bilevel optimization problems involving a hierarchy of two nested optimization problems have received a growing attention in the recent past due to their relevance in practice. While a number of studies on bilevel solution methodologies and applications are available for a deterministic setup, but studies on uncertainties in bilevel optimization are rare. In this paper, we suggest meth

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10

Amouzegar, Mahyar A., and Khosrow Moshirvaziri. "Determining optimal pollution control policies: An application of bilevel programming." European Journal of Operational Research 119, no. 1 (1999): 100–120. http://dx.doi.org/10.1016/s0377-2217(98)00336-1.

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11

Knauer, Matthias. "Fast and save container cranes as bilevel optimal control problems." Mathematical and Computer Modelling of Dynamical Systems 18, no. 4 (2012): 465–86. http://dx.doi.org/10.1080/13873954.2011.642388.

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12

Liang, Yongliang, Zhiqi Li, Yuchuan Li, Shuwen Leng, Hongmei Cao, and Kejun Li. "Bilevel Optimal Economic Dispatch of CNG Main Station Considering Demand Response." Energies 16, no. 7 (2023): 3080. http://dx.doi.org/10.3390/en16073080.

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Compressed natural gas (CNG) main stations are critical components of the urban energy infrastructure for CNG distribution. Due to its high electrification and significant power consumption, researching the economic operation of the CNG main station in demand response (DR)-based electricity pricing environments is crucial. In this paper, the dehydration process is considered in the CNG main station energy consumption model to enhance its participation in DR. A bilevel economic dispatch model for the CNG main station is proposed, considering critical peak pricing. The upper-level and lower-leve

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13

Kalashnikov, Vyacheslav V., Francisco Benita, and Patrick Mehlitz. "The Natural Gas Cash-Out Problem: A Bilevel Optimal Control Approach." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/286083.

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The aim of this paper is threefold: first, it formulates the natural gas cash-out problem as a bilevel optimal control problem (BOCP); second, it provides interesting theoretical results about Pontryagin-type optimality conditions for a general BOCP where the upper level boasts a Mayer-type cost function and pure state constraints, while the lower level is a finite-dimensional mixed-integer programming problem with exactly one binary variable; and third, it applies these theoretical results in order to find possible local minimizers of the natural gas cash-out problem.

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14

Lobo Pereira, Fernando, and Nathalie T. Khalil. "A Maximum Principle for a Time-Optimal Bilevel Sweeping Control Problem." Journal of Optimization Theory and Applications 192, no. 3 (2022): 1022–51. http://dx.doi.org/10.1007/s10957-022-02004-3.

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15

Benita, F., and P. Mehlitz. "Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level." SIAM Journal on Optimization 26, no. 1 (2016): 718–52. http://dx.doi.org/10.1137/15m1015984.

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16

Liua, Yuquan, Yuehao Zhao, Ke Peng, Bingyin Xu, Li Wang, and Huangsheng Hua. "Bilevel optimal coordinated control strategy for park-level integrated energy system." Energy Procedia 145 (July 2018): 44–53. http://dx.doi.org/10.1016/j.egypro.2018.04.009.

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17

Kalashnikov, Vyacheslav, Stephan Dempe, Boris Mordukhovich, and Sergii V. Kavun. "Bilevel Optimal Control, Equilibrium, and Combinatorial Problems with Applications to Engineering." Mathematical Problems in Engineering 2017 (2017): 1–3. http://dx.doi.org/10.1155/2017/7190763.

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18

Lu, Ping, Sergio Sandoval, and Christopher Davami. "Fast and Robust Optimization of Full Trajectory from Entry Through Powered Descent." Journal of Guidance, Control, and Dynamics 47, no. 2 (2024): 203–16. http://dx.doi.org/10.2514/1.g007564.

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A high-mass Mars entry, descent, and landing (EDL) mission for cargo delivery or human exploration faces the challenge of a high propellant mass fraction requirement for powered descent. This work develops a novel method and the associated algorithm that utilize existing entry and propellant-optimal powered descent guidance algorithms for fast and robust optimization of the end-to-end EDL trajectory for achieving the overall optimized propellant efficiency. A bilevel optimization formulation aided by a predictive logic based on the optimal powered descent algorithm to determine the near-optima

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19

Deb, Kalyanmoy, and Ankur Sinha. "An Efficient and Accurate Solution Methodology for Bilevel Multi-Objective Programming Problems Using a Hybrid Evolutionary-Local-Search Algorithm." Evolutionary Computation 18, no. 3 (2010): 403–49. http://dx.doi.org/10.1162/evco_a_00015.

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Bilevel optimization problems involve two optimization tasks (upper and lower level), in which every feasible upper level solution must correspond to an optimal solution to a lower level optimization problem. These problems commonly appear in many practical problem solving tasks including optimal control, process optimization, game-playing strategy developments, transportation problems, and others. However, they are commonly converted into a single level optimization problem by using an approximate solution procedure to replace the lower level optimization task. Although there exist a number o

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20

Shi, Shenglei, Youlun Xiong, Jiankui Chen, and Caihua Xiong. "A bilevel optimal motion planning (BOMP) model with application to autonomous parking." International Journal of Intelligent Robotics and Applications 3, no. 4 (2019): 370–82. http://dx.doi.org/10.1007/s41315-019-00109-z.

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Abstract In this paper, we present a bilevel optimal motion planning (BOMP) model for autonomous parking. The BOMP model treats motion planning as an optimal control problem, in which the upper level is designed for vehicle nonlinear dynamics, and the lower level is for geometry collision-free constraints. The significant feature of the BOMP model is that the lower level is a linear programming problem that serves as a constraint for the upper-level problem. That is, an optimal control problem contains an embedded optimization problem as constraints. Traditional optimal control methods cannot

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21

Jiang, Nan. "Optimal Signal Design for Mixed Equilibrium Networks with Autonomous and Regular Vehicles." Journal of Advanced Transportation 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/5649823.

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A signal design problem is studied for efficiently managing autonomous vehicles (AVs) and regular vehicles (RVs) simultaneously in transportation networks. AVs and RVs move on separate lanes and two types of vehicles share the green times at the same intersections. The signal design problem is formulated as a bilevel program. The lower-level model describes a mixed equilibrium where autonomous vehicles follow the Cournot-Nash (CN) principle and RVs follow the user equilibrium (UE) principle. In the upper-level model, signal timings are optimized at signalized intersections to allocate appropri

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22

Minciardi, R., and M. Robba. "A Bilevel Approach for the Optimal Control of Flows Through a Network." IEEE Systems Journal 6, no. 3 (2012): 539–47. http://dx.doi.org/10.1109/jsyst.2012.2192059.

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23

Calvete, Herminia I., Carmen Galé, Stephan Dempe, and Sebastian Lohse. "Bilevel problems over polyhedra with extreme point optimal solutions." Journal of Global Optimization 53, no. 3 (2011): 573–86. http://dx.doi.org/10.1007/s10898-011-9762-6.

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24

Benita, F., S. Dempe, and P. Mehlitz. "Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level." SIAM Journal on Optimization 26, no. 1 (2016): 564–88. http://dx.doi.org/10.1137/141000889.

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25

Ko, J. H., S. S. Hong, and M. J. Youn. "New optimal predictive current mode control technique for bilevel quantum series resonant convertors." Electronics Letters 27, no. 5 (1991): 412. http://dx.doi.org/10.1049/el:19910261.

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26

Minciardi, Riccardo, and Michela Robba. "A Bilevel Approach for the Stochastic Optimal Operation of Interconnected Microgrids." IEEE Transactions on Automation Science and Engineering 14, no. 2 (2017): 482–93. http://dx.doi.org/10.1109/tase.2016.2620150.

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27

Ma, Zetao, Nikolce Murgovski, Bo Egardt, and Shumei Cui. "Convex modeling for optimal battery sizing and control of an electric variable transmission powertrain." Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 74 (2019): 25. http://dx.doi.org/10.2516/ogst/2018104.

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This paper provides convex modeling steps for the problem of optimal battery sizing and energy management of a plug-in hybrid electric vehicle with an electric variable transmission. Optimal energy management is achieved by a switched model control, with driving modes identified by the engine on/off state. In pure electric mode, convex optimization is used to find the optimal torque split between two electric machines, in order to maximize powertrain efficiency. In hybrid mode, optimization is performed in a bilevel program. One level optimizes speed of a compound unit that includes the engine

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28

Zheng, Huankun, and Kaidi Yu. "An Optimization Control Method of IEH Considering User Thermal Comfort." Energies 17, no. 4 (2024): 948. http://dx.doi.org/10.3390/en17040948.

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In this paper, a user thermal comfort criterion based on predicted mean vote (PMV) values is introduced to realize the optimal operation of an improved energy hub (IEH) while considering thermal inertia and user thermal behavior. A three-layer optimization model based on user thermal comfort is constructed which fully considers user thermal comfort demand, IEH operating costs, and energy network constraints. Moreover, since IEH optimization considering user thermal comfort is a multi-objective bilevel optimization (MNBO) problem, this paper proposes an improved multilayer nested quantum geneti

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29

Li, Dawei, Yuchen Song, and Qiong Chen. "Bilevel Programming for Traffic Signal Coordinated Control considering Pedestrian Crossing." Journal of Advanced Transportation 2020 (February 13, 2020): 1–18. http://dx.doi.org/10.1155/2020/3987591.

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With the rapid development of the subway, more and more people choose it as the main method of transportation. However, practically, the large number of pedestrians near some large metro stations can also correspondingly affect the traffic of motor vehicles on the roads adjacent to the stations. In this study, coordinated control of the traffic signal which considers the pedestrian crossing delay is studied based on this background. Firstly, the model of progression band in adjacent intersections is analyzed comprehensively, and the calculation formulas of progression bandwidth and the delay o

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30

Penkovskii, Andrey. "Hierarchical management model of heat supply to consumers." E3S Web of Conferences 219 (2020): 03004. http://dx.doi.org/10.1051/e3sconf/202021903004.

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The article proposes a hierarchical management model for heat supply to consumers based on the method of bilevel programming. An organizational model of heat supply to consumers in the form of a Unified Heat Supply Organization in a two-tier control system is considered, when the regulators (regional tariff service) manages tariffs for consumers, and heat sources cover the given demand from consumers from the condition of obtaining maximum profit. With the help of bilevel approach, the technical and economic indicators of the district heating are calculated. The proposed mathematical model mak

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31

Zeng, Bo, Houqi Dong, Fuqiang Xu, and Ming Zeng. "Bilevel Programming Approach for Optimal Planning Design of EV Charging Station." IEEE Transactions on Industry Applications 56, no. 3 (2020): 2314–23. http://dx.doi.org/10.1109/tia.2020.2973189.

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Dempe, S., and F. Mefo Kue. "Solving discrete linear bilevel optimization problems using the optimal value reformulation." Journal of Global Optimization 68, no. 2 (2016): 255–77. http://dx.doi.org/10.1007/s10898-016-0478-5.

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Zou, Yuan, Dong-ge Li, and Xiao-song Hu. "Optimal Sizing and Control Strategy Design for Heavy Hybrid Electric Truck." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/404073.

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Due to the complexity of the hybrid powertrain, the control is highly involved to improve the collaborations of the different components. For the specific powertrain, the components' sizing just gives the possibility to propel the vehicle and the control will realize the function of the propulsion. Definitely the components' sizing also gives the constraints to the control design, which cause a close coupling between the sizing and control strategy design. This paper presents a parametric study focused on sizing of the powertrain components and optimization of the power split between the engin

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Fisch, F., J. Lenz, F. Holzapfel, and G. Sachs. "On the Solution of Bilevel Optimal Control Problems to Increase the Fairness in Air Races." Journal of Guidance, Control, and Dynamics 35, no. 4 (2012): 1292–98. http://dx.doi.org/10.2514/1.54407.

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35

Kis, Tamás, András Kovács, and Csaba Mészáros. "On Optimistic and Pessimistic Bilevel Optimization Models for Demand Response Management." Energies 14, no. 8 (2021): 2095. http://dx.doi.org/10.3390/en14082095.

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This paper investigates bilevel optimization models for demand response management, and highlights the often overlooked consequences of a common modeling assumption in the field. That is, the overwhelming majority of existing research deals with the so-called optimistic variant of the problem where, in case of multiple optimal consumption schedules for a consumer (follower), the consumer chooses an optimal schedule that is the most favorable for the electricity retailer (leader). However, this assumption is usually illegitimate in practice; as a result, consumers may easily deviate from their

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36

Albrecht, Sebastian, Marion Leibold, and Michael Ulbrich. "A bilevel optimization approach to obtain optimal cost functions for human arm movements." Numerical Algebra, Control & Optimization 2, no. 1 (2012): 105–27. http://dx.doi.org/10.3934/naco.2012.2.105.

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37

Ni, Ya Qi, Jia Shi Yang, Dian Gang Wang, Cheng Wei Li, Jun Yong Liu, and Hui Gong. "Research of Electric Vehicles' Discharging Price." Applied Mechanics and Materials 543-547 (March 2014): 452–56. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.452.

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Through the vehicle to the network (V2G) control, the objective of the "load shifting" is possible. Reasonable charging and discharging price is the fundamental driving force for EV users to participate in V2G and the analysis of the game process of the grid company and the EV users becomes critical. A bilevel programming problem is established which makes company the largest gains and consumers the minimum cost. Through a control scheme whose purpose is minimizing the sample variance of load, the relationship of annual discharging electricity energy and peak load decrement is obtained. At las

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Zheng, Guorong, and Mingyan Zhang. "Research on the Cooperative Control Method of Intermittent Bus Lane and Downstream Intersection." Mathematical Problems in Engineering 2022 (January 31, 2022): 1–7. http://dx.doi.org/10.1155/2022/5621301.

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Intermittent bus lane (IBL) used for bus priority is a lane in which the status of a given section changes according to the presence or absence of a bus in its spatial domain. Therefore, when bus services are not so frequent, general traffic will not suffer much, and bus priority can still be obtained. In order to further explore the road resource utilization, a signal timing optimization model was proposed considering coordinate intermittent bus lanes and downstream intersections. Firstly, the functional relationship was established between the general vehicle carrying capacity and the social

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39

Wang, Puming, Liqin Zheng, Tianyi Diao, Shengquan Huang, and Xiaoqing Bai. "Robust Bilevel Optimal Dispatch of Park Integrated Energy System Considering Renewable Energy Uncertainty." Energies 16, no. 21 (2023): 7302. http://dx.doi.org/10.3390/en16217302.

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This paper focuses on optimizing the park integrated energy system (PIES) operation, and a robust bilevel optimal dispatch is proposed. Firstly, the robust uncertainty set is constructed based on the K-means++ algorithm to solve the uncertainty of renewable energy sources output in PIES. Then, the bi-level dispatch model is proposed, with the operator as the leader and consumers as the follower. The upper model establishes an electricity-heat-gas integrated energy network, and the lower model considers the demand response of consumers. Optimizing the pricing strategies of energy sources to det

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40

Chen, Nathan, David Rey, and Lauren Gardner. "Multiscale Network Model for Evaluating Global Outbreak Control Strategies." Transportation Research Record: Journal of the Transportation Research Board 2626, no. 1 (2017): 42–50. http://dx.doi.org/10.3141/2626-06.

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High volumes of passenger air travel increase the risk of infectious disease epidemics and pandemics. Regional preparedness planning for large-scale outbreaks requires models that are able to capture outbreak dynamics within a control policy evaluation framework. Previous studies focused on either modeling outbreak dynamics or optimizing outbreak control decisions; this paper proposes an integrated approach that combines both aspects. A multiscale epidemic outbreak model is introduced that is designed to capture the infection dynamics at both the local (city) scale and the global (air travel)

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41

Christof, Constantin. "Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level." SIAM Journal on Optimization 30, no. 1 (2020): 290–318. http://dx.doi.org/10.1137/18m1225707.

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Hieu, Dang Van, Le Dung Muu, and Pham Kim Quy. "STRONG CONVERGENCE OF MULTI-PARAMETER PROJECTION METHODS FOR VARIATIONAL INEQUALITY PROBLEMS." Mathematical Modelling and Analysis 27, no. 2 (2022): 242–62. http://dx.doi.org/10.3846/mma.2022.14479.

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In this paper, we introduce a multi-parameter projection method for solving a variational inequality problem, and establish its strong convergence in a Hilbert space under appropriate conditions. The method involves two projectionsteps with different variable stepsizes where one of them is computed explicitly on a specifically structural half-space. The proof of strong convergence of the method is based on the regularization solutions depending on parameters of the original problem. It turns out that the solution obtained by the method is the solution of a bilevel variational inequality proble

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Zhao, Yuehao, Ke Peng, Bingyin Xu, Huimin Li, Yuquan Liu, and Xinhui Zhang. "Bilevel Optimal Dispatch Strategy for a Multi-Energy System of Industrial Parks by Considering Integrated Demand Response." Energies 11, no. 8 (2018): 1942. http://dx.doi.org/10.3390/en11081942.

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To combat energy shortage, the multi-energy system has gained increasing interest in contemporary society. In order to fully utilize adjustable multi-energy resources on the demand side and reduce interactive compensation, this paper presents an integrated demand response (IDR) model in consideration of conventional load-shedding and novel resource-shifting, due to the fact that participants in IDR can use more abundant resources to reduce the consumption of energy. In the proposed IDR, cooling, heating, electricity, gas and so forth are considered, which takes the connection between compensat

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Cai, Yongyang. "Computational Methods in Environmental and Resource Economics." Annual Review of Resource Economics 11, no. 1 (2019): 59–82. http://dx.doi.org/10.1146/annurev-resource-100518-093841.

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Computational methods are required to solve problems without closed-form solutions in environmental and resource economics. Efficiency, stability, and accuracy are key elements for computational methods. This review discusses state-of-the-art computational methods applied in environmental and resource economics, including optimal control methods for deterministic models, advances in value function iteration and time iteration for general dynamic stochastic problems, nonlinear certainty equivalent approximation, robust decision making, real option analysis, bilevel optimization, solution method

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Xu, Tao, He Meng, Jie Zhu, et al. "Optimal Capacity Allocation of Energy Storage in Distribution Networks Considering Active/Reactive Coordination." Energies 14, no. 6 (2021): 1611. http://dx.doi.org/10.3390/en14061611.

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Energy storage system (ESS) has been advocated as one of the key elements for the future energy system by the fast power regulation and energy transfer capabilities. In particular, for distribution networks with high penetration of renewables, ESS plays an important role in bridging the gap between the supply and demand, maximizing the benefits of renewables and providing various types of ancillary services to cope the intermittences and fluctuations, consequently improving the resilience, reliability and flexibility. To solve the voltage fluctuations caused by the high permeability of renewab

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Joksimovic, Dusica, Michiel C. J. Bliemer, and Piet H. L. Bovy. "Optimal Toll Design Problem in Dynamic Traffic Networks with Joint Route and Departure Time Choice." Transportation Research Record: Journal of the Transportation Research Board 1923, no. 1 (2005): 61–72. http://dx.doi.org/10.1177/0361198105192300107.

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Road pricing is one of the market-based traffic control measures that can influence travel behavior to alleviate congestion on roads. This paper addresses the effects of uniform (constant, fixed) and time-varying (step) tolls on the travel behavior of users on the road network. The problem of determining optimal prices in a dynamic traffic network is considered by applying second-best tolling scenarios imposing tolls only to a subset of links on the network and considering elastic demand. The optimal toll design problem is formulated as a bilevel optimization problem with the road authority (o

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Kozanidis, George, Eftychia Kostarelou, Panagiotis Andrianesis, and George Liberopoulos. "Mixed integer parametric bilevel programming for optimal strategic bidding of energy producers in day-ahead electricity markets with indivisibilities." Optimization 62, no. 8 (2013): 1045–68. http://dx.doi.org/10.1080/02331934.2013.801473.

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Li, Xu, Zimeng Liu, Qing Xu, Zhongyi Jiang, and Guoliang Ma. "Optimal Policy Mechanism Design for Cross-Sector and Multi-Stage Pollution Control with a Bilevel Model: Application to SO2 Emission in China." Environmental Modeling & Assessment 22, no. 3 (2016): 243–55. http://dx.doi.org/10.1007/s10666-016-9533-3.

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Sund, Lennard, Saber Talari, and Wolfgang Ketter. "Stochastic Wind Power Generation Planning in Liberalised Electricity Markets within a Heterogeneous Landscape." Energies 15, no. 21 (2022): 8109. http://dx.doi.org/10.3390/en15218109.

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Spatially separated locations may differ greatly with respect to their electricity demand, available space, and local weather conditions. Thus, the regions that are best suited to operating wind turbines are often not those where electricity is demanded the most. Optimally, renewable generation facilities are constructed where the maximum generation can be expected. With transmission lines limited in capacity though, it might be economically rational to install renewable power sources in geographically less favourable locations. In this paper, a stochastic bilevel optimisation is developed as

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Li, Peixuan, Meilin Wen, Tianpei Zu, and Rui Kang. "A Joint Location–Allocation–Inventory Spare Part Optimization Model for Base-Level Support System with Uncertain Demands." Axioms 12, no. 1 (2023): 46. http://dx.doi.org/10.3390/axioms12010046.

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This paper copes with a joint Location-Allocation-Inventory problem in a three-echelon base-level spare part support system with epistemic uncertainty in uncertain demands of bases. The aim of the paper is to propose an optimization model under the uncertainty theory to minimize the total cost, which integrates crucial characterizations of the inventory control decisions and the location-allocation scheme arrangement under a periodic review order-up-to-S (T, S) policy. Uncertainty theory is introduced in this paper to characterize epistemic uncertainty, where demands are treated as uncertain v

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