Abstract
This paper considers the joint repair and restoration of the electrical power system after significant disruptions caused by natural disasters. This problem is computationally challenging because, when the goal is to minimize the size of the blackout, it combines a routing and a power restoration component, both of which are difficult on their own. The joint repair/restoration problem has been successfully approached with a 3-stage decomposition, whose last step is a multiple-vehicle, pickup-and-delivery routing problem with precedence and capacity constraints whose goal is to minimize the sum of the delivery times (PDRPPCCDT). Experimental results have shown that the PDRPPCCDT is a bottleneck and this paper proposes a Randomized Adaptive Vehicle Decomposition (RAVD) to scale to very large power outages. The RAVD approach is shown to produce significant computational benefits and provide high-quality results for infrastructures with more than 24000 components and 1200 damaged items, giving rise to PDRPPCCDT with more than 2500 visits.
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References
Adibi, M.: Power System Restoration (Methodologies & Implementation Strategies) (2000)
Adibi, M.M., Fink, L.H.: Power system restoration planning. IEEE Transactions on Power Systems 9(1), 22–28 (1994)
Adibi, M.M., Kafka, L.R.J., Milanicz, D.P.: Expert system requirements for power system restoration. IEEE Transactions on Power Systems 9(3), 1592–1600 (1994)
Ancona, J.J.: A framework for power system restoration following a major power failure. IEEE Transactions on Power Systems 10(3), 1480–1485 (1995)
Bent, R., Van Hentenryck, P.: A Two-Stage Hybrid Local Search for the Vehicle Routing Problem with Time Windows. Transportation Science 8(4), 515–530 (2004)
Bent, R., Van Hentenryck, P.: A Two-Stage Hybrid Algorithm for Pickup and Delivery Vehicle Routing Problems with Time Windows. Computers and Operations Research (Special Issue on Applications in Combinatorial Optimization), 875–893 (2006)
Bent, R., Van Hentenryck, P.: Randomized Adaptive Spatial Decoupling For Large-Scale Vehicle Routing with Time Windows. In: Proceedings of the 22th National Conference on Artificial Intelligence (AAAI 2007). AAAI Press (July 2007)
Bent, R., Van Hentenryck, P.: Spatial, Temporal, and Hybrid Decompositions for Large-Scale Vehicle Routing with Time Windows. In: Cohen, D. (ed.) CP 2010. LNCS, vol. 6308, pp. 99–113. Springer, Heidelberg (2010)
Campbell, A.M., Vandenbussche, D., Hermann, W.: Routing for relief efforts. Transportation Science 42(2), 127–145 (2008)
Delgadillo, A., Arroyo, J.M., Alguacil, N.: Analysis of electric grid interdiction with line switching. IEEE Transactions on Power Systems 25(2), 633–641 (2010)
FEMA. Hazus overview (2010), http://www.fema.gov/plan/prevent/hazus/
Fisher, E.B., O’Neill, R.P., Ferris, M.C.: Optimal transmission switching. IEEE Transactions on Power Systems 23(3), 1346–1355 (2008)
Duncan Glover, J., Sarma, M.S., Overbye, T.: Power Systems Analysis and Design. CL-Engineering (2007)
Huang, J.A., Audette, L., Harrison, S.: A systematic method for power system restoration planning. IEEE Transactions on Power Systems 10(2), 869–875 (1995)
Huang, J.A., Galiana, F.D., Vuong, G.T.: Power system restoration incorporating interactive graphics and optimization, pp. 216–222 (May 1991)
Morelato, A.L., Monticelli, A.J.: Heuristic search approach to distribution system restoration. IEEE Transactions on Power Delivery 4(4), 2235–2241 (1989)
Mori, H., Ogita, Y.: A parallel tabu search based approach to optimal network reconfigurations for service restoration in distribution systems, vol. 2, pp. 814–819 (2002)
Nagata, T., Sasaki, H., Yokoyama, R.: Power system restoration by joint usage of expert system and mathematical programming approach. IEEE Transactions on Power Systems 10(3), 1473–1479 (1995)
Pacino, D., Van Hentenryck, P.: Large neighborhood search and adaptive randomized decompositions for flexible jobshop scheduling. In: Walsh, T. (ed.) IJCAI, pp. 1997–2002. IJCAI/AAAI (2011)
Reed, D.A.: Electric utility distribution analysis for extreme winds. Journal of Wind Engineering and Industrial Aerodynamics 96(1), 123–140 (2008)
Sakaguchi, T., Matsumoto, K.: Development of a knowledge based system for power system restoration. IEEE Transactions on Power Apparatus and Systems 102(2), 320–329 (1983)
Salmeron, J., Wood, K., Baldick, R.: Worst-case interdiction analysis of large-scale electric power grids. IEEE Transactions on Power Systems 24(1), 96–104 (2009)
Van Hentenryck, P., Coffrin, C., Bent, R.: Vehicle routing for the last mile of power system restoration. In: Proceedings of the 17th Power Systems Computation Conference (PSCC 2011), Stockholm, Sweden (August 2011)
Yolcu, M.H., Zabar, Z., Birenbaum, L., Granek, S.A.: Adaptation of the simplex algorithm to modeling of cold load pickup of a large secondary network distribution system. IEEE Transactions on Power Apparatus and Systems, PAS 102(7), 2064–2068 (1983)
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Simon, B., Coffrin, C., Van Hentenryck, P. (2012). Randomized Adaptive Vehicle Decomposition for Large-Scale Power Restoration. In: Beldiceanu, N., Jussien, N., Pinson, É. (eds) Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems. CPAIOR 2012. Lecture Notes in Computer Science, vol 7298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29828-8_25
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DOI: https://doi.org/10.1007/978-3-642-29828-8_25
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