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2017 | OriginalPaper | Buchkapitel

2. Literature Review

verfasst von : Prakash Ranganathan, Kendall E. Nygard

Erschienen in: Distributed Linear Programming Models in a Smart Grid

Verlag: Springer International Publishing

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Abstract

The goal of this chapter is to provide prior work done with linear-programming approaches for the resource-allocation problem. Operations-research (OR) modeling often concerns finding the best quantitative solution for management problems [HL01, Mom01]. The OR methods include mathematical-optimization modeling as simulation, and using OR methods has grown significantly since their origination during World War II. Templeman [Tem91] describes quantitative OR methods for designing and controlling industrial and economical operations. Many private and government organizations have improved their operations by successfully using mathematical programming [Wad83, Aro02, Chv83, Dan63, SS85]. This book focuses on a resource-allocation problem and applies linear programming for the solution approach.

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Literatur
[Aro02]
Zurück zum Zitat Arora, S. (2006). Proving integrality gaps without knowing the linear program. Proceedings of the 43rd Symposium on Foundations of Computer Science (pp. 313–322). Arora, S. (2006). Proving integrality gaps without knowing the linear program. Proceedings of the 43rd Symposium on Foundations of Computer Science (pp. 313–322).
[BBG77]
Zurück zum Zitat Bradley, G., Brown, G., and Graves, G (1977). Design and implementation of large scale primal transshipment algorithms. Management Science, 1–34. Bradley, G., Brown, G., and Graves, G (1977). Design and implementation of large scale primal transshipment algorithms. Management Science, 1–34.
[BCP08]
Zurück zum Zitat Bignucoloa, F., Caldona, R., & Prandonib, V. (2008). Radial MV networks voltage regulation with distribution management system coordinated controller. Electric Power Systems Research, 78(4), 634–664.CrossRef Bignucoloa, F., Caldona, R., & Prandonib, V. (2008). Radial MV networks voltage regulation with distribution management system coordinated controller. Electric Power Systems Research, 78(4), 634–664.CrossRef
[Bou01]
Zurück zum Zitat Boutilier, C. (2001). Planning and programming with first-order Markov decision processes: Insights and challenges. City, MA: Morgan Kaufmann. Boutilier, C. (2001). Planning and programming with first-order Markov decision processes: Insights and challenges. City, MA: Morgan Kaufmann.
[Bou02]
Zurück zum Zitat Boutilier, C. (2002). A POMDP formulation of preference elicitation problems. Proceedings of the Eighteenth National Conference on Artificial Intelligence, City, CA (pp. 239–246). Boutilier, C. (2002). A POMDP formulation of preference elicitation problems. Proceedings of the Eighteenth National Conference on Artificial Intelligence, City, CA (pp. 239–246).
[Chv83]
Zurück zum Zitat Chvatal, V. (1983). Linear programming. New York, NY: Freeman.MATH Chvatal, V. (1983). Linear programming. New York, NY: Freeman.MATH
[Dan63]
Zurück zum Zitat Dantzig, G. B. (1963). Linear programming and extensions. Princeton, NJ: Princeton University Press.CrossRefMATH Dantzig, G. B. (1963). Linear programming and extensions. Princeton, NJ: Princeton University Press.CrossRefMATH
[Dan83]
Zurück zum Zitat Dantzig, G. B. (1983). Reminiscences about the origins of linear programming, mathematical programming: The state of the art springer lecture notes (pp. 78–86). Berlin, Germany: Springer. Dantzig, G. B. (1983). Reminiscences about the origins of linear programming, mathematical programming: The state of the art springer lecture notes (pp. 78–86). Berlin, Germany: Springer.
[DCN04]
Zurück zum Zitat Dobson, I., Carreras, B., & Newman, D. E. (2004). Probabilistic load-dependent cascading failure with limited component interactions. IEEE International Symposium on Circuits and Systems, City, Canada (pp. 15–32). Dobson, I., Carreras, B., & Newman, D. E. (2004). Probabilistic load-dependent cascading failure with limited component interactions. IEEE International Symposium on Circuits and Systems, City, Canada (pp. 15–32).
[DNS95]
Zurück zum Zitat Dwyer, A., Nielsen, R., Stangl, J., & Markushevich, N. (1995). Load to voltage dependency tests at B.C. hydro, IEEE Transactions on Power Systems, 10(2), 709–715. Dwyer, A., Nielsen, R., Stangl, J., & Markushevich, N. (1995). Load to voltage dependency tests at B.C. hydro, IEEE Transactions on Power Systems, 10(2), 709–715.
[FES12]
Zurück zum Zitat Farag, E., El-Saadany, F., & Seethapathy, R. (2012). A two ways communication-based distributed control for voltage regulation in smart distribution feeders. IEEE Transaction on Smart Grid, 766–772. Farag, E., El-Saadany, F., & Seethapathy, R. (2012). A two ways communication-based distributed control for voltage regulation in smart distribution feeders. IEEE Transaction on Smart Grid, 766–772.
[GPR09]
Zurück zum Zitat Greitzer, F., Podmor, R., Robinson, M., & Ey, P. (2009). Naturalistic decision making for power system operators. In International Conference on Naturalistic Decision Making (NDM). London, England. Greitzer, F., Podmor, R., Robinson, M., & Ey, P. (2009). Naturalistic decision making for power system operators. In International Conference on Naturalistic Decision Making (NDM). London, England.
[GPS00]
Zurück zum Zitat Gueret, C., Prins, C., & Sevaux, M. (2000). Programmation lineaire. Paris: Editions Eyrolles. Gueret, C., Prins, C., & Sevaux, M. (2000). Programmation lineaire. Paris: Editions Eyrolles.
[HL01]
Zurück zum Zitat Hillier, F., & Lieberman, G. (2001). Introduction to operations research. City, England: McGraw-Hill.MATH Hillier, F., & Lieberman, G. (2001). Introduction to operations research. City, England: McGraw-Hill.MATH
[KHS05]
Zurück zum Zitat Khattam, W., Hegazy, Y., & Salama, Y. (2005). An integrated distributed generation optimization model for distribution system planning. IEEE Transactions on Power Systems, 20(2), 1158–1165. Khattam, W., Hegazy, Y., & Salama, Y. (2005). An integrated distributed generation optimization model for distribution system planning. IEEE Transactions on Power Systems, 20(2), 1158–1165.
[Mom01]
Zurück zum Zitat Momoh, J. (2001). Electric power system Applications of optimization. City, NY: Marcel Dekker. Momoh, J. (2001). Electric power system Applications of optimization. City, NY: Marcel Dekker.
[Moo91]
[NF12]
Zurück zum Zitat Nguyen, C., & Flueck, A. (2012). Agent based restoration with distributed energy storage support in smart grids. IEEE Transactions on Smart Grid, 3(2), 1029–1038. Nguyen, C., & Flueck, A. (2012). Agent based restoration with distributed energy storage support in smart grids. IEEE Transactions on Smart Grid, 3(2), 1029–1038.
[PFR09]
Zurück zum Zitat Pipattanasomporn, M., Feroze, H., & Rahman, S. Multi-agent systems in a distributed smart grid: Design and implementation. Proceedings of IEEE PES 2009 Power Systems Conference and Exposition, Seattle, Washington, USA, March 2009 (pp. 1–6). Pipattanasomporn, M., Feroze, H., & Rahman, S. Multi-agent systems in a distributed smart grid: Design and implementation. Proceedings of IEEE PES 2009 Power Systems Conference and Exposition, Seattle, Washington, USA, March 2009 (pp. 1–6).
[RN12]
Zurück zum Zitat Ranganathan, P., & Nygard, K. A smart agent oriented linear programming control in electric grid. Annual Electric Power and Energy Conference, Canada, October 2012 (pp. 102–106). Ranganathan, P., & Nygard, K. A smart agent oriented linear programming control in electric grid. Annual Electric Power and Energy Conference, Canada, October 2012 (pp. 102–106).
[PSN88]
Zurück zum Zitat Powell, W., Sheffi, Y., Nickerson, S., Butterbaugh, K., & Atherton, S. (1988). Maximizing profits for North American Van Lines truckload division: A new framework for pricing and operations. Interfaces, 18(1), 21–41.CrossRef Powell, W., Sheffi, Y., Nickerson, S., Butterbaugh, K., & Atherton, S. (1988). Maximizing profits for North American Van Lines truckload division: A new framework for pricing and operations. Interfaces, 18(1), 21–41.CrossRef
[Pow98]
Zurück zum Zitat PowerGen plc. (1998). Private communication. PowerGen plc. (1998). Private communication.
[RN10]
Zurück zum Zitat Ranganathan, P., & Nygard, K. (2010). An optimal resource assignment problem in Smart grid. The Second International Conference on Future Computational Technologies and Applications, Portugal, November 26 (pp. 75–82). Ranganathan, P., & Nygard, K. (2010). An optimal resource assignment problem in Smart grid. The Second International Conference on Future Computational Technologies and Applications, Portugal, November 26 (pp. 75–82).
[Sal04]
Zurück zum Zitat Salam, S. (2004). Comparison of Lagrangian relaxation and truncated dynamic programming methods for solving hydrothermal coordination problems. Proceedings of International Conference on Intelligent Sensing and Information Processing (pp. 265–270). Salam, S. (2004). Comparison of Lagrangian relaxation and truncated dynamic programming methods for solving hydrothermal coordination problems. Proceedings of International Conference on Intelligent Sensing and Information Processing (pp. 265–270).
[Son99]
Zurück zum Zitat Song, Y. (1999). Modern optimization techniques in power systems. City, ST: Kluwer Academic Publishers.CrossRefMATH Song, Y. (1999). Modern optimization techniques in power systems. City, ST: Kluwer Academic Publishers.CrossRefMATH
[SS85]
Zurück zum Zitat Sullivan, R., & Secrest, C. (1985). A simple optimization DSS for production planning at Dairymans Cooperative Creamery Association. Interfaces, 15(5), 46–53.CrossRef Sullivan, R., & Secrest, C. (1985). A simple optimization DSS for production planning at Dairymans Cooperative Creamery Association. Interfaces, 15(5), 46–53.CrossRef
[Tem91]
Zurück zum Zitat Templeman, B. (1991). Optimization and decision support systems in civil engineering. City, ST: Routledge, Gordon and Breach Science Publishers Ltd. Templeman, B. (1991). Optimization and decision support systems in civil engineering. City, ST: Routledge, Gordon and Breach Science Publishers Ltd.
[Wad83]
Zurück zum Zitat Waddell, R. (1983). A model for equipment replacement decision and policies. Interfaces, 13(4), 1–7.CrossRef Waddell, R. (1983). A model for equipment replacement decision and policies. Interfaces, 13(4), 1–7.CrossRef
[Wan01]
Zurück zum Zitat Wang, H. (2001). Multi-agent co-ordination for the secondary voltage control in power system contingencies. Proceedings of IEEE Generation, Transmission and Distribution, 148(1), 61–66.CrossRef Wang, H. (2001). Multi-agent co-ordination for the secondary voltage control in power system contingencies. Proceedings of IEEE Generation, Transmission and Distribution, 148(1), 61–66.CrossRef
[Wil93]
Zurück zum Zitat Williams, P. (1993). Model building in mathematical programming (3rd revised edition). Chichester, England: Wiley. Williams, P. (1993). Model building in mathematical programming (3rd revised edition). Chichester, England: Wiley.
[Wri97]
Zurück zum Zitat Wright, S. (1997). Primal-dual interior point methods. SIAM, 145–157. Wright, S. (1997). Primal-dual interior point methods. SIAM, 145–157.
Metadaten
Titel
Literature Review
verfasst von
Prakash Ranganathan
Kendall E. Nygard
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-52617-1_2