Cote, Gilles; Laughton, M. A. Stochastic production costing in generation planning: A large-scale mixed integer model. (English) Zbl 0488.90034 Math. Program. Study 20, 54-71 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 90B30 Production models 90C90 Applications of mathematical programming 90C11 Mixed integer programming Keywords:large-scale mixed integer model; generation planning; Benders’ partitioning method; forced outages of power plants; decomposition; stochastic production costing algorithm Software:WASP × Cite Format Result Cite Review PDF Full Text: DOI References: [1] D. Anderson, ”Models for determining least-cost investments in electricity supply” The Bell Journal of Economics and Management Science 3 (1972) 267–299. · doi:10.2307/3003078 [2] R. Billinton, Power system reliability evaluation (Gordon and Breach, New York, 1970). [3] R. Billinton, ”Bibliography on the application of probability methods in power system reliability evaluation”, IEEE Transactions on Power Apparatus and Systems PAS-91 (1972) 649–660. · doi:10.1109/TPAS.1972.293251 [4] R.R. Booth, ”Power system simulation model based on probability analysis”, IEEE Transactions on Power Apparatus and Systems PAS-91 (1972) 62–69. · doi:10.1109/TPAS.1972.293291 [5] R.R. Booth, ”Optimal generation planning considering uncertainty”, IEEE Transactions on Power Apparatus and Systems PAS-91 (1972) 70–77. · doi:10.1109/TPAS.1972.293292 [6] G. Côté and M.A. Laughton, ”Decomposition techniques in power system planning: The Benders’ partitioning method”, International Journal of Electrical Power and Energy Systems 1 (1979) 57–64. · doi:10.1016/0142-0615(79)90032-2 [7] G. Côté, ”Reliability aspects of optimal generation planning models for power systems”, Ph.D. Thesis, Univesity of London (1979). [8] G. Côté and M.A. Laughton, ”Large-scale mixed integer programming: Benders-type heuristics”, presented at the Tenth International Symposium on Mathematical Programming, Montréal, August 27–31 (1979). [9] P.N. Fernando, A.S. Induruwa, B.J. Cory and A. McKechnie, ”Further developments in generation planning using integer programming”, Proceedings of the Sixth Power Systems Computation Conference, Darmstadt, August 21–25 (1978) 12–21. [10] A.M. Geoffrion, ”Elements of large-scale mathematical programming Part II: synthesis of algorithms and bibliography”, Management Science 16 (1970) 676–691. · doi:10.1287/mnsc.16.11.676 [11] P.G. Harrington and R. Billinton, ”Reliability evaluation in energy limited generating capacity studies”, IEEE Transactions on Power Apparatus and Systems PAS-97 (1978) 2076–2085. [12] R.T. Jenkins and D.S. Joy, ”WIEN automatic system planning package (WASP)–An electric utility optimal generation expansion planning computer code”, Oak Ridge National Laboratory Report ORNL-4945 (1974). [13] R. Juseret, ”Long term optimisation of electrical system generation by convex programming”, Mathematical Programming Study 9 (1978) 186–195. · doi:10.1007/BFb0120834 [14] H.M. Khatib, ”Economics of reliability of electrical power systems”, Ph.D. Thesis, University of London (1974). [15] A.S. Manne, ”A mixed integer algorithm for project evaluation”, Development Research Centre, International Bank for Reconstruction and Development, Memorandum 71-3 (1971). [16] F. Noonan and R. Giglio, ”Planning electric power generation: A non-linear mixed integer model employing Benders’ decomposition”, Management Science 23 (1977) 946–956. · doi:10.1287/mnsc.23.9.946 [17] M.A. Sager, R.J. Ringlee and A.J. Wood, ”A new generation cost program to recognise forced outages”, IEEE Transactions on Power Apparatus and Systems PAS-91 (1972) 2114–2124. · doi:10.1109/TPAS.1972.293194 [18] D.M. Simmons, Linear programming for operations research, (Holden-Day, San Francisco, (1972). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.