New bounding and decomposition approaches for MILP investment problems: Multi-area transmission and generation planning under policy constraints
Author
Abstract
Suggested Citation
DOI: 10.1016/j.ejor.2015.07.057
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Natalie M. Steiger & James R. Wilson, 2001. "Convergence Properties of the Batch Means Method for Simulation Output Analysis," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 277-293, November.
- Paul Joskow & Jean Tirole, 2005.
"Merchant Transmission Investment,"
Journal of Industrial Economics, Wiley Blackwell, vol. 53(2), pages 233-264, June.
- Paul Joskow & Jean Tirole, 2003. "Merchant Transmission Investment," Working Papers 0304, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
- Joskow, Paul L. & Tirole, Jean, 2004. "Merchant Transmission Investment," IDEI Working Papers 263, Institut d'Économie Industrielle (IDEI), Toulouse.
- Paul Joskow & Jean Tirole, 2003. "Merchant Transmission Investment," Working Papers EP24, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
- Paul Joskow & Jean Tirole, 2003. "Merchant Transmission Investment," NBER Working Papers 9534, National Bureau of Economic Research, Inc.
- Joskow, P. & Tirole, J., 2003. "Merchant Transmission Investment," Cambridge Working Papers in Economics 0324, Faculty of Economics, University of Cambridge.
- Albert Madansky, 1960. "Inequalities for Stochastic Linear Programming Problems," Management Science, INFORMS, vol. 6(2), pages 197-204, January.
- Robert Tibshirani & Guenther Walther & Trevor Hastie, 2001. "Estimating the number of clusters in a data set via the gap statistic," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 411-423.
- Anthony Papavasiliou & Shmuel S. Oren, 2013. "Multiarea Stochastic Unit Commitment for High Wind Penetration in a Transmission Constrained Network," Operations Research, INFORMS, vol. 61(3), pages 578-592, June.
- Jeremy A. Bloom & Michael Caramanis & Leonid Charny, 1984. "Long-Range Generation Planning Using Generalized Benders' Decomposition: Implementation and Experience," Operations Research, INFORMS, vol. 32(2), pages 290-313, April.
- Benjamin F. Hobbs & Yuandong Ji, 1999. "Stochastic Programming-Based Bounding of Expected Production Costs for Multiarea Electric Power System," Operations Research, INFORMS, vol. 47(6), pages 836-848, December.
- Julia L. Higle & Suvrajeet Sen, 1991. "Stochastic Decomposition: An Algorithm for Two-Stage Linear Programs with Recourse," Mathematics of Operations Research, INFORMS, vol. 16(3), pages 650-669, August.
- Francisco Munoz & Enzo Sauma & Benjamin Hobbs, 2013. "Approximations in power transmission planning: implications for the cost and performance of renewable portfolio standards," Journal of Regulatory Economics, Springer, vol. 43(3), pages 305-338, June.
- Steven A. Gabriel & Andy S. Kydes & Peter Whitman, 2001. "The National Energy Modeling System: A Large-Scale Energy-Economic Equilibrium Model," Operations Research, INFORMS, vol. 49(1), pages 14-25, February.
- Cote, Gilles & Laughton, Michael A., 1984. "Large-scale mixed integer programming: Benders-type heuristics," European Journal of Operational Research, Elsevier, vol. 16(3), pages 327-333, June.
- Edward Kahn, 1995. "Regulation by Simulation: The Role of Production Cost Models in Electricity Planning and Pricing," Operations Research, INFORMS, vol. 43(3), pages 388-398, June.
- A. M. Geoffrion & G. W. Graves, 1980. "Management Science Update Column---"Multicommodity Distribution System Design by Benders Decomposition"," Management Science, INFORMS, vol. 26(8), pages 855-856, August.
- Hanif D. Sherali & Konstantin Staschus & Jorge M. Huacuz, 1987. "An Integer Programming Approach and Implementation for an Electric Utility Capacity Planning Problem with Renewable Energy Sources," Management Science, INFORMS, vol. 33(7), pages 831-847, July.
- Pozo, David & Contreras, Javier & Sauma, Enzo, 2013. "If you build it, he will come: Anticipative power transmission planning," Energy Economics, Elsevier, vol. 36(C), pages 135-146.
- van der Weijde, Adriaan Hendrik & Hobbs, Benjamin F., 2012. "The economics of planning electricity transmission to accommodate renewables: Using two-stage optimisation to evaluate flexibility and the cost of disregarding uncertainty," Energy Economics, Elsevier, vol. 34(6), pages 2089-2101.
- T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
- Paul L. Joskow, 2011.
"Comparing the Costs of Intermittent and Dispatchable Electricity Generating Technologies,"
American Economic Review, American Economic Association, vol. 101(3), pages 238-241, May.
- Paul L. Joskow, 2010. "Comparing the Costs of Intermittent and Dispatchable Electricity Generating Technologies," Working Papers 1013, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
- Paul L. Joskow, 2011. "Comparing the Costs of Intermittent and Dispatchable Electricity Generating Technologies," EUI-RSCAS Working Papers 45, European University Institute (EUI), Robert Schuman Centre of Advanced Studies (RSCAS).
- Paul L. Joskow, 2011. "Comparing the Costs of Intermittent and Dispatchable Electricity Generating Technologies," RSCAS Working Papers 2011/45, European University Institute.
- VAN ROY, Tony J., 1983. "Cross decomposition for mixed integer programming," LIDAM Reprints CORE 496, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Aardal, Karen & Larsson, Torbjorn, 1990. "A benders decomposition based heuristic for the hierarchical production planning problem," European Journal of Operational Research, Elsevier, vol. 45(1), pages 4-14, March.
- C. C. Huang & W. T. Ziemba & A. Ben-Tal, 1977. "Bounds on the Expectation of a Convex Function of a Random Variable: With Applications to Stochastic Programming," Operations Research, INFORMS, vol. 25(2), pages 315-325, April.
- Averill M. Law & John S. Carson, 1979. "A Sequential Procedure for Determining the Length of a Steady-State Simulation," Operations Research, INFORMS, vol. 27(5), pages 1011-1025, October.
- Baringo, L. & Conejo, A.J., 2013. "Correlated wind-power production and electric load scenarios for investment decisions," Applied Energy, Elsevier, vol. 101(C), pages 475-482.
- Hanif D. Sherali & Konstantin Staschus, 1990. "A Two-Phase Decomposition Approach for Electric Utility Capacity Expansion Planning Including Nondispatchable Technologies," Operations Research, INFORMS, vol. 38(5), pages 773-791, October.
- Jeremy A. Bloom, 1983. "Solving an Electricity Generating Capacity Expansion Planning Problem by Generalized Benders' Decomposition," Operations Research, INFORMS, vol. 31(1), pages 84-100, February.
- Holmberg, Kaj, 1994. "On using approximations of the Benders master problem," European Journal of Operational Research, Elsevier, vol. 77(1), pages 111-125, August.
- Dale McDaniel & Mike Devine, 1977. "A Modified Benders' Partitioning Algorithm for Mixed Integer Programming," Management Science, INFORMS, vol. 24(3), pages 312-319, November.
- Hobbs, Benjamin F., 1995. "Optimization methods for electric utility resource planning," European Journal of Operational Research, Elsevier, vol. 83(1), pages 1-20, May.
- PAPAVASILIOU, Anthony & OREN, Schmuel S., 2013. "Multiarea stochastic unit commitment for high wind penetration in a transmission constrained network," LIDAM Reprints CORE 2500, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Birge, John R. & Louveaux, Francois V., 1988. "A multicut algorithm for two-stage stochastic linear programs," European Journal of Operational Research, Elsevier, vol. 34(3), pages 384-392, March.
- Bruce Schmeiser, 1982. "Batch Size Effects in the Analysis of Simulation Output," Operations Research, INFORMS, vol. 30(3), pages 556-568, June.
- Dennis Anderson, 1972. "Models for Determining Least-Cost Investments in Electricity Supply," Bell Journal of Economics, The RAND Corporation, vol. 3(1), pages 267-299, Spring.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Sarid, A. & Tzur, M., 2018. "The multi-scale generation and transmission expansion model," Energy, Elsevier, vol. 148(C), pages 977-991.
- Merrick, James H. & Bistline, John E.T. & Blanford, Geoffrey J., 2024. "On representation of energy storage in electricity planning models," Energy Economics, Elsevier, vol. 136(C).
- Rong, Aiying & Lahdelma, Risto, 2017. "An efficient model and algorithm for the transmission-constrained multi-site combined heat and power system," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1106-1117.
- Bergen, Matías & Muñoz, Francisco D., 2018. "Quantifying the effects of uncertain climate and environmental policies on investments and carbon emissions: A case study of Chile," Energy Economics, Elsevier, vol. 75(C), pages 261-273.
- Merrick, James H., 2016. "On representation of temporal variability in electricity capacity planning models," Energy Economics, Elsevier, vol. 59(C), pages 261-274.
- Go, Roderick S. & Munoz, Francisco D. & Watson, Jean-Paul, 2016. "Assessing the economic value of co-optimized grid-scale energy storage investments in supporting high renewable portfolio standards," Applied Energy, Elsevier, vol. 183(C), pages 902-913.
- Merrick, James H. & Bistline, John E.T. & Blanford, Geoffrey J., 2024.
"On representation of energy storage in electricity planning models,"
Energy Economics, Elsevier, vol. 136(C).
- James H. Merrick & John E. T. Bistline & Geoffrey J. Blanford, 2021. "On representation of energy storage in electricity planning models," Papers 2105.03707, arXiv.org, revised May 2021.
- Amir Sadegh Zakeri & Hossein Askarian Abyaneh, 2017. "Transmission Expansion Planning Using TLBO Algorithm in the Presence of Demand Response Resources," Energies, MDPI, vol. 10(9), pages 1-15, September.
- Han Wang & Zhenghui Fu & Shulan Wang & Wenjie Zhang, 2021. "Analysis of CO 2 Emissions in the Whole Production Process of Coal-Fired Power Plant," Sustainability, MDPI, vol. 13(19), pages 1-13, October.
- Sun, M. & Teng, F. & Konstantelos, I. & Strbac, G., 2018. "An objective-based scenario selection method for transmission network expansion planning with multivariate stochasticity in load and renewable energy sources," Energy, Elsevier, vol. 145(C), pages 871-885.
- Heuberger, Clara F. & Bains, Praveen K. & Mac Dowell, Niall, 2020. "The EV-olution of the power system: A spatio-temporal optimisation model to investigate the impact of electric vehicle deployment," Applied Energy, Elsevier, vol. 257(C).
- Zhang, Menglin & Ai, Xiaomeng & Fang, Jiakun & Yao, Wei & Zuo, Wenping & Chen, Zhe & Wen, Jinyu, 2018. "A systematic approach for the joint dispatch of energy and reserve incorporating demand response," Applied Energy, Elsevier, vol. 230(C), pages 1279-1291.
- Kang, Jidong & Ng, Tsan Sheng & Su, Bin, 2020. "Optimizing electricity mix for CO2 emissions reduction: A robust input-output linear programming model," European Journal of Operational Research, Elsevier, vol. 287(1), pages 280-292.
- Xiaomin Xu & Dongxiao Niu & Jinpeng Qiu & Peng Wang & Yanchao Chen, 2016. "Analysis and Optimization of Power Supply Structure Based on Markov Chain and Error Optimization for Renewable Energy from the Perspective of Sustainability," Sustainability, MDPI, vol. 8(7), pages 1-14, July.
- Grimm, Veronika & Grübel, Julia & Rückel, Bastian & Sölch, Christian & Zöttl, Gregor, 2020. "Storage investment and network expansion in distribution networks: The impact of regulatory frameworks," Applied Energy, Elsevier, vol. 262(C).
- Moiseeva, Ekaterina & Wogrin, Sonja & Hesamzadeh, Mohammad Reza, 2017. "Generation flexibility in ramp rates: Strategic behavior and lessons for electricity market design," European Journal of Operational Research, Elsevier, vol. 261(2), pages 755-771.
- Gerbaulet, C. & Weber, A., 2018. "When regulators do not agree: Are merchant interconnectors an option? Insights from an analysis of options for network expansion in the Baltic Sea region," Energy Policy, Elsevier, vol. 117(C), pages 228-246.
- Ambrosius, Mirjam & Egerer, Jonas & Grimm, Veronika & van der Weijde, Adriaan H., 2022. "Risk aversion in multilevel electricity market models with different congestion pricing regimes," Energy Economics, Elsevier, vol. 105(C).
- Clemens Gerbaulet & Casimir Lorenz, 2017. "dynELMOD: A Dynamic Investment and Dispatch Model for the Future European Electricity Market," Data Documentation 88, DIW Berlin, German Institute for Economic Research.
- Teichgraeber, Holger & Brandt, Adam R., 2022. "Time-series aggregation for the optimization of energy systems: Goals, challenges, approaches, and opportunities," Renewable and Sustainable Energy Reviews, Elsevier, vol. 157(C).
- Fernández, Mauricio & Muñoz, Francisco D. & Moreno, Rodrigo, 2020. "Analysis of imperfect competition in natural gas supply contracts for electric power generation: A closed-loop approach," Energy Economics, Elsevier, vol. 87(C).
- Sebastiano Vitali & Ruth Domínguez & Vittorio Moriggia, 2021. "Comparing stage-scenario with nodal formulation for multistage stochastic problems," 4OR, Springer, vol. 19(4), pages 613-631, December.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Francisco Munoz & Jean-Paul Watson, 2015. "A scalable solution framework for stochastic transmission and generation planning problems," Computational Management Science, Springer, vol. 12(4), pages 491-518, October.
- Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
- Walter Rei & Jean-François Cordeau & Michel Gendreau & Patrick Soriano, 2009. "Accelerating Benders Decomposition by Local Branching," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 333-345, May.
- M. Jenabi & S. M. T. Fatemi Ghomi & S. A. Torabi & Moeen Sammak Jalali, 2022. "An accelerated Benders decomposition algorithm for stochastic power system expansion planning using sample average approximation," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1304-1336, December.
- Georgios Saharidis & Marianthi Ierapetritou, 2013. "Speed-up Benders decomposition using maximum density cut (MDC) generation," Annals of Operations Research, Springer, vol. 210(1), pages 101-123, November.
- Teodor Gabriel Crainic & Mike Hewitt & Francesca Maggioni & Walter Rei, 2021. "Partial Benders Decomposition: General Methodology and Application to Stochastic Network Design," Transportation Science, INFORMS, vol. 55(2), pages 414-435, March.
- Chao Li & Muhong Zhang & Kory Hedman, 2021. "Extreme Ray Feasibility Cuts for Unit Commitment with Uncertainty," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1037-1055, July.
- M. Jenabi & S. Fatemi Ghomi & S. Torabi & S. Hosseinian, 2015. "Acceleration strategies of Benders decomposition for the security constraints power system expansion planning," Annals of Operations Research, Springer, vol. 235(1), pages 337-369, December.
- Timo Lohmann & Steffen Rebennack, 2017. "Tailored Benders Decomposition for a Long-Term Power Expansion Model with Short-Term Demand Response," Management Science, INFORMS, vol. 63(6), pages 2027-2048, June.
- Hanif Sherali & Brian Lunday, 2013. "On generating maximal nondominated Benders cuts," Annals of Operations Research, Springer, vol. 210(1), pages 57-72, November.
- de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.
- Märkle-Huß, Joscha & Feuerriegel, Stefan & Neumann, Dirk, 2020. "Cost minimization of large-scale infrastructure for electricity generation and transmission," Omega, Elsevier, vol. 96(C).
- A. Marín & J. Salmerón, 2001. "A risk function for the stochastic modeling of electric capacity expansion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 662-683, December.
- Peiling Wu & Joseph C. Hartman & George R. Wilson, 2005. "An Integrated Model and Solution Approach for Fleet Sizing with Heterogeneous Assets," Transportation Science, INFORMS, vol. 39(1), pages 87-103, February.
- Elisangela Martins de Sá & Ivan Contreras & Jean-François Cordeau & Ricardo Saraiva de Camargo & Gilberto de Miranda, 2015. "The Hub Line Location Problem," Transportation Science, INFORMS, vol. 49(3), pages 500-518, August.
- De Jonghe, C. & Hobbs, B. F. & Belmans, R., 2011. "Integrating short-term demand response into long-term investment planning," Cambridge Working Papers in Economics 1132, Faculty of Economics, University of Cambridge.
- Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
- Azad, Nader & Hassini, Elkafi, 2019. "Recovery strategies from major supply disruptions in single and multiple sourcing networks," European Journal of Operational Research, Elsevier, vol. 275(2), pages 481-501.
- Paul Simshauser & Farhad Billimoria & Craig Rogers, 2021.
"Optimising VRE plant capacity in Renewable Energy Zones,"
Working Papers
EPRG2121, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
- Simshauser, P. & Billimoria, F. & Rogers, C., 2021. "Optimising VRE Plant Capacity in Renewable Energy Zones," Cambridge Working Papers in Economics 2164, Faculty of Economics, University of Cambridge.
- Aliakbari Sani, Sajad & Bahn, Olivier & Delage, Erick, 2022. "Affine decision rule approximation to address demand response uncertainty in smart Grids’ capacity planning," European Journal of Operational Research, Elsevier, vol. 303(1), pages 438-455.
More about this item
Keywords
OR in energy; Stochastic programming; Benders decomposition;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:248:y:2016:i:3:p:888-898. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.