
4f174a7fd39c20a
Jamili, A., Ramezankhani, F. (2015). An Extended Mathematical Programming Model to Optimize the Cable Trench Route of Power Transmission in a Metro Depot. International Journal of Transportation Engineering, 3(2), 109123. doi: 10.22119/ijte.2015.13837Amin Jamili; Farshad Ramezankhani. "An Extended Mathematical Programming Model to Optimize the Cable Trench Route of Power Transmission in a Metro Depot". International Journal of Transportation Engineering, 3, 2, 2015, 109123. doi: 10.22119/ijte.2015.13837Jamili, A., Ramezankhani, F. (2015). 'An Extended Mathematical Programming Model to Optimize the Cable Trench Route of Power Transmission in a Metro Depot', International Journal of Transportation Engineering, 3(2), pp. 109123. doi: 10.22119/ijte.2015.13837Jamili, A., Ramezankhani, F. An Extended Mathematical Programming Model to Optimize the Cable Trench Route of Power Transmission in a Metro Depot. International Journal of Transportation Engineering, 2015; 3(2): 109123. doi: 10.22119/ijte.2015.13837
An Extended Mathematical Programming Model to Optimize the Cable Trench Route of Power Transmission in a Metro Depot
Article 3, Volume 3, Issue 2, Autumn 2015, Page 109123
PDF (597.95 K)
Document Type: Research Paper
DOI: 10.22119/ijte.2015.13837
Authors
Amin Jamili ^{} ^{1}; Farshad Ramezankhani^{2}
^{1}Assistant Professor, School of Industrial Engineering, University of Tehran, Tehran, Iran
^{2}MSc. Student, School of Industrial Engineering, University of Tehran, Tehran, Iran
Abstract
The necessary electricity of the workshops and buildings (W&Bs) located at the metro depot are provided by lighting power substation (LPS). To transmit electricity between LPS and W&Bs, some trenches should be dig and the requisite cables should be located in the trenches. This paper presents a new mixed integer linear programming (MILP) longterm decision model to find the best cable trench route between LPS and W&Bs and also the location of all W&Bs and LPS are fixed. In this problem, the objective is to minimize (1) used cables cost, and (2) trench digging cost. It should be considered that there exist many cases in which the minimum either used cables or trench digging does not result in minimum total cost. Therefore, in optimum solution, a tradeoff between these objectives should be achieved. Finally, the proposed model is applied to a real case study at the metro depot in Iran and the optimum solution is analyzed.
Keywords
Cable Trench Problem; Lighting Power Substation; Metro Depot; optimization
References
Arkin, E. M., Carmi, P., Katz, M. J., Mitchell, J. S. B. and Segal, M. (2014) “Locating battery charging stations to facilitate almost shortest paths”, 14th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS’14), Vol. 42, pp. 25–33
Baxter, M., Elgindy, T., Ernst, A. T., Kalinowski, T. and Savelsbergh, M. (2014) “Incremental network design with shortest paths”, European Journal of Operational Research
Bhattacharya, A. and Kumar, A. (2014) “A shortest path tree based algorithm for relay placement in a wireless sensor network and its performance analysis”, Computer Networks, Vol. 71, pp. 48–62
Booth, H. and Westbrook, J. (1994) “A linear algorithm for analysis of minimum spanning and shortestpath trees of planar graphs”, Algorithmica, Vol. 11, No. 4, pp. 341–352
Eppstein, D. (1999) “Spanning trees and spanners”, California, Elsevier.
Erlebach, T. and Hoffmann, M. (2014) “Minimum spanning tree verification under uncertainty”, Graph Theoretic Concepts in Computer Science, pp. 164–175
Gouveia, L., Leitner, M. and Ljubi, I. (2014) “A polyhedral study of the diameter constrained minimum spanning tree problem”
Hochuli, A., Holzer, S. and Wattenhofer, R. (2014) “Distributed approximation of minimum routing cost trees”, arXiv preprint arXiv:1406.1244, pp. 1–18
Jeng, D. J., Kim, I. and Watada, J. (2006) “DNAbased evolutionary algorithm for cable trench problem”, SpringerVerlag Berlin Heidelberg Part III, Vol. 4253, No. 3, pp. 922–929
Khuller, S., Raghavachari, B. and Young, N. (1995) “Balancing minimum spanning trees and shortestpath trees”, Algorithmica, Vol. 14, No. 4, pp. 305–321
Kumar, V. and Kumar, S. (2014) “Spanningtreebased positionbased routing in WSNs”, Intelligent Computing, Networking, and Informatics, pp. 1267–1275
Liu, G., Qiu, Z., Qu, H., Ji, L. and Takacs, A. (2014) “Computing k shortest paths from a source node to each other node”, Soft Computing, pp. 1–12
Marianov, V., GutiérrezJarpa, G., Obreque, C. and Cornejo, O. (2012) “Lagrangean relaxation heuristics for the pcabletrench problem”, Computers & Operations Research, Vol. 39, No. 3, pp. 620–628
Nagarajan, A. and Ayyanar, R. (2014) “Application of minimum spanning tree algorithm for network reduction of distribution systems”, North American Power Symposium (NAPS), IEEE, pp. 1–5
Pérezgalarce, F., Álvarezmiranda, E., Candiavéjar, A. and Toth, P. (2014) “On exact solutions for the minmax regret spanning tree problem”, Computers & Operations Research, Vol. 47, pp. 114–122
Ralphs, T. K., Saltzman, M. J. and Wiecek, M. M. (2004) “An improved algorithm for biobjective integer programming and its application to network routing problems”, Annals of Operations Research
5DOSKV Ɍ Ʉ and Hartman, J. C. (2001) “Capacitated Node Routing Problems (Preliminary Progress Report)”
Xiaoqiang, R. (2014) “Position prediction in mine personnel RFID positioning system based on shortest path principle”, Journal of Chemical and Pharmaceutical Research, Vol. 6, No. 6, pp. 2159 2162
Saravanan, M. and Madheswaran, M. (2014) “A hybrid optimized weighted minimum spanning tree for the shortest intrapath selection in wireless sensor network”, Mathematical Problems in Engineering
Trudeau, C. (2014) “Minimum cost spanning tree problems with indifferent agents”, Games and Economic Behavior, Vol. 84, pp. 137–151
Vasko, F. J., Barbieri, R. S., Rieksts, B. Q., Reitmeyer, K. L. and Stott Jr, K. L. (2002) “The cable trench problem: combining the shortest path and minimum spanning tree problems”, Computers & Operations Research, Vol. 29, No. 5, pp. 441–458
Zhong, C., Malinen, M., Miao, D. and Fränti, P. (2015) “A fast minimum spanning tree algorithm based on kmeans” Information Sciences, Vol. 295, pp. 1–17
Zhou, J., He, X. and Wang, K. (2014) “Uncertain quadratic minimum spanning tree problem”, Journal of Communications, Vol. 9, No. 5, pp. 385–390
StatisticsArticle View: 2,198PDF Download: 1,531