A memetic algorithm for location-routing problem with time windows for the attention of seismic disasters: a case study from Bucaramanga, Colombia
DOI:
https://doi.org/10.17981/ingecuc.14.1.2018.7Keywords:
Humanitarian logistics, evacuation, earthquake, location-routing problem (LRP), time windows, memetic algorithmAbstract
Introduction: In recent years, a great part of the population has been affected by natural and man-caused disasters. Hence, evacuation planning has an important role in the reduction of the number of victims during a natural disaster.
Objective: In order to contribute to current studies of operations research in disaster management, this paper addresses evacuation planning of urban areas by using buses to pick up affected people after an earthquake.
Methodology: The situation is modeled using Location-Routing Problem with Time Windows (LRPTW) to locate emergency shelters and identify evacuation routes that meet attention time constraints. To solve the LRPTW problem, a memetic algorithm (MA) is designed to minimize the total response time during an evacuation. The algorithm is not only validated using instances of literature but also with the assessment of a case study of a seismic event in Bucaramanga, Colombia.
Results and conclusions: The main contribution of this article is the development of a memetic algorithm for the solution of the proposed model that allows to solve real-size instances. The hybrid initialization of the MA prevents an early convergence by combining randomness and a heuristic technique. Computational results indicate that the MA is a viable approach for the LRPTW solution. Likewise, a case study is presented for the city of Bucaramanga in order to validate the proposed model. Two scenarios are simulated showing that the management of the time windows (homogeneous or random) directly influences the solution and affects the objective function. From a practical perspective, the location-routing problem must consider other criteria such as the cost of evacuation, including the attention delay cost, and the cost of opening shelters and routing.
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References
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[28] S. Alumur and B. Y. Kara, "A new model for the hazardous waste location-routing problem," Comput. Oper. Res., vol. 34, no. 5, pp. 1406–1423, 2007. https://doi.org/10.1016/j.cor.2005.06.012
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[38] L. Alçada-Almeida, L. Tralhão, L. Santos, and J. Coutinho- Rodrigues, "A multiobjective approach to locate emergency shelters and identify evacuation routes in urban areas," Geogr. Anal., vol. 41, no. 1, pp. 9–29, 2009. https://doi.org/10.1111/j.1538-4632.2009.00745.x
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[40] M. Goerigk, K. Deghdak, and P. Heßler, "A comprehensive evacuation planning model and genetic solution algorithm," Transp. Res. Part E Logist. Transp. Rev., vol. 71, pp. 82–97, 2014.
[41] E. Nikbakhsh and S. H. Zegordi, "A Heuristic Algorithm and a Lower Bound for the Two-Echelon Location-Routing Problem with Soft Time Window Constraints," vol. 17, no. 1, pp. 36–47, 2010.
[42] H. I. Gündüz, "The Single-Stage Location-Routing Problem with Time Windows," pp. 44–58, 2011. https://doi.org/10.1007/978-3-642-24264-9_4
[43] M. H. Fazel Zarandi, A. Hemmati, S. Davari, and I. Burhan Turksen, "Capacitated location-routing problem with time windows under uncertainty," Knowledge-Based Syst., vol. 37, pp. 480–489, Jan. 2013. https://doi.org/10.1016/j.knosys.2012.09.007
[44] R. SONG, S. HE, and L. ZHANG, "Optimum Transit Operations during the Emergency Evacuations," J. Transp. Syst. Eng. Inf. Technol., vol. 9, no. 6, pp. 154–160, Dec. 2009. https://doi.org/10.1016/S1570-6672(08)60096-3
[45] L. Zhu, D. Hu, X. Wei, and X. Chen, "Solving the LRPTW Based on Tabu Search Algorithm," in ICLEM 2014, 2014, pp. 904–909.
[46] I. Karaoglan and F. Altiparmak, "A memetic algorithm for the capacitated location-routing problem with mixed backhauls," Comput. Oper. Res., vol. 55, pp. 200–216, 2014. https://doi.org/10.1016/j.cor.2014.06.009
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[48] C. E. Coral-Gomez, "La convergencia de placas en el noroccidente Suramenricao y el origen del nido de bucaramanga," Rev. Acad. Colomb. Ciencias Exactas, Flsicas y Nat., vol. 17, no. 66, pp. 521–529, 1990.
[49] A. Barrera Navarro and A. Gomez Hernandez, "Un algoritmo evolutivo para el problema de distribución de recursos post-desastres sísmicos en la ciudad de Bucaramanga.," Universidad Industrial de Santander, 2016.
[50] E. Maldonado and G. Chio, "Identificación de las zonas sísmicas más vulnerables en la ciudad de Bucaramanga," UIS Ing., vol. 4, no. 2, pp. 99–116, 2005.
[2] J. Holguín-Veras, M. Jaller, L. N. Van Wassenhove, N. Pérez, and T. Wachtendorf, "On the unique features of post-disaster humanitarian logistics," J. Oper. Manag., vol. 30, no. 7–8, pp. 494–506, 2012. https://doi.org/10.1016/j.jom.2012.08.003
[3] FEMA, "Guide for All-Hazard Emergency Operations Planning," 1996.
[4] N. Altay and W. G. Green, "OR/MS research in disaster operations management," Eur. J. Oper. Res., vol. 175, no. 1, pp. 475–493, 2006.https://doi.org/10.1016/j.ejor.2005.05.016
[5] A. M. Anaya-Arenas, J. Renaud, and A. Ruiz, "Relief distribution networks: a systematic review," Ann. Oper. Res., no. April, pp. 53–79, 2014.https://doi.org/10.1007/s10479-014-1581-y
[6] G. Galindo and R. Batta, "Review of recent developments in OR/MS research in disaster operations management," Eur. J. Oper. Res., vol. 230, no. 2, pp. 201–211, 2013.https://doi.org/10.1016/j.ejor.2013.01.039
[7] G. Kovács and K. M. Spens, "Humanitarian logistics in disaster relief operations," Int. J. Phys. Distrib. Logist. Manag., vol. 37, no. 2, pp. 99–114, 2007.https://doi.org/10.1108/09600030710734820
[8] N. C. Simpson and P. G. Hancock, "Fifty Years of Operational Research and Emergency Response," J. Oper. Res. Soc., vol. 60, pp. s126–s139, 2009.https://doi.org/10.1057/jors.2009.3
[9] L. E. De la Torre, I. S. Dolinskaya, and K. R. Smilowitz, "Disaster relief routing: Integrating research and practice," Socioecon. Plann. Sci., vol. 46, no. 1, pp. 88–97, 2012.https://doi.org/10.1016/j.seps.2011.06.001
[10] A. M. Caunhye, X. Nie, and S. Pokharel, "Optimization models in emergency logistics: A literature review," Socioecon. Plann. Sci., vol. 46, no. 1, pp. 4–13, 2012.https://doi.org/10.1016/j.seps.2011.04.004
[11] T. YAMADA, "A network flow approach to a city emergency evacuation planning," Int. J. Syst. Sci., vol. 27, no. 10, pp. 931–936, Oct. 1996.https://doi.org/10.1080/00207729608929296
[12] Q. Lu, B. George, and S. Shekhar, "Capacity Constrained Routing Algorithms for Evacuation Planning: A Summary of Results," Springer, Berlin, Heidelberg, 2005, pp. 291–307.
[13] Y.-C. Chiu, H. Zheng, J. Villalobos, and B. Gautam, "Modeling no-notice mass evacuation using a dynamic traffic flow optimization model," IIE Trans., vol. 39, no. 1, pp. 83–94, Jan. 2007. https://doi.org/10.1080/07408170600946473
[14] F. Sayyady and S. D. Eksioglu, "Optimizing the use of public transit system during no-notice evacuation of urban areas," Comput. Ind. Eng., vol. 59, no. 4, pp. 488–495, Nov. 2010. https://doi.org/10.1016/j.cie.2010.06.001
[15] D. R. Bish, "Planning for a bus-based evacuation," OR Spectr., vol. 33, no. 3, pp. 629–654, 2011.https://doi.org/10.1007/s00291-011-0256-1
[16] M. Goerigk, B. Grün, and P. Heßler, "Branch and bound algorithms for the bus evacuation problem," Comput. Oper. Res., vol. 40, no. 12, pp. 3010–3020, 2013.https://doi.org/10.1016/j.cor.2013.07.006
[17] D. R. Bish, H. D. Sherali, and A. G. Hobeika, "Optimal evacuation planning using staging and routing," J. Oper. Res. Soc., vol. 65, no. 1, pp. 124–140, 2014. https://doi.org/10.1057/jors.2013.3
[18] M. Goerigk and B. Grün, "A robust bus evacuation model with delayed scenario information," OR Spectr., vol. 36, no. 4, pp. 923–948, Oct. 2014. https://doi.org/10.1007/s00291-014-0365-8
[19] M. Goerigk, B. Grün, and P. Heßler, "Combining bus evacuation with location decisions: A branch-and-price approach," Transp. Res. Procedia, vol. 2, pp. 783–791, 2014. https://doi.org/10.1016/j.trpro.2014.09.088
[20] S. Salhi and G. K. Rand, "The effect of ignoring routes when locating depots," Eur. J. Oper. Res., vol. 39, no. 2, pp. 150–156, Mar. 1989. https://doi.org/10.1016/0377-2217(89)90188-4
[21] M. Drexl and M. Schneider, "A Survey of the Standard Location-Routing Problem," 2014.
[22] H. Min, V. Jayaraman, and R. Srivastava, "Combined location- routing problems: A synthesis and future research directions," Eur. J. Oper. Res., vol. 108, no. 1, pp. 1–15, 1998. https://doi.org/10.1016/S0377-2217(97)00172-0
[23] G. Nagy and S. Salhi, "Location-routing: Issues, models and methods," Eur. J. Oper. Res., vol. 177, no. 2, pp. 649–672, Mar. 2007.https://doi.org/10.1016/j.ejor.2006.04.004
[24] C. Prodhon and C. Prins, "A survey of recent research on location-routing problems," Eur. J. Oper. Res., vol. 238, no. 1, pp. 1–17, Oct. 2014. https://doi.org/10.1016/j.ejor.2014.01.005
[25] K. Govindan, a. Jafarian, R. Khodaverdi, and K. Devika, "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," Int. J. Prod. Econ., vol. 152, pp. 9–28, Jun. 2014. https://doi.org/10.1016/j.ijpe.2013.12.028
[26] A. Ceselli, G. Righini, and E. Tresoldi, "Combined location and routing problems for drug distribution," Discret. Appl. Math., vol. 165, pp. 130–145, Mar. 2014. https://doi.org/10.1016/j.dam.2013.07.016
[27] R. Caballero, M. González, F. M. Guerrero, J. Molina, and C. Paralera, "Solving a multiobjective location routing problem with a metaheuristic based on tabu search. Application to a real case in Andalusia," Eur. J. Oper. Res., vol. 177, no. 3, pp. 1751–1763, Mar. 2007. https://doi.org/10.1016/j.ejor.2005.10.017
[28] S. Alumur and B. Y. Kara, "A new model for the hazardous waste location-routing problem," Comput. Oper. Res., vol. 34, no. 5, pp. 1406–1423, 2007. https://doi.org/10.1016/j.cor.2005.06.012
[29] J. Ahn, O. de Weck, Y. Geng, and D. Klabjan, "Column generation based heuristics for a generalized location routing problem with profits arising in space exploration," Eur. J. Oper. Res., vol. 223, no. 1, pp. 47–59, Nov. 2012. https://doi.org/10.1016/j.ejor.2012.06.018
[30] W. Yi and L. Özdamar, "A dynamic logistics coordination model for evacuation and support in disaster response activities," Eur. J. Oper. Res., vol. 179, no. 3, pp. 1177–1193, Jun. 2007. https://doi.org/10.1016/j.ejor.2005.03.077
[31] S. Li and H. Zhou, "Optimization model of fuzzy location routing problem of victim search in flood disaster," J. Chem. Pharm. Res., vol. 6, no. 6, pp. 2080–2085, 2014.
[32] A. Pramudita, E. Taniguchi, and A. Qureshi, "Location and Routing Problems of Debris Collection Operation after Disasters with Realistic Case Study," Procedia - Soc. Behav. Sci., vol. 125, pp. 1–15, 2014. https://doi.org/10.1016/j.sbspro.2014.01.1487
[33] S. V. Ukkusuri and W. F. Yushimito, "Location Routing Approach for the Humanitarian Prepositioning Problem," Transp. Res. Rec. J. Transp. Res. Board, vol. 2089, no. 1, pp. 18–25, 2009. https://doi.org/10.3141/2089-03
[34] R. Tavakkoli-Moghaddam, a. Makui, and Z. Mazloomi, "A new integrated mathematical model for a bi-objective multi-depot location-routing problem solved by a multiobjective scatter search algorithm," J. Manuf. Syst., vol. 29, no. 2–3, pp. 111–119, 2010. https://doi.org/10.1016/j.jmsy.2010.11.005
[35] Z. Mingang, C. Zengshou, and W. Xiaoyan, "Research on location-routing problem of relief system based on emergency logistics," in Industrial Engineering and Engineering Management, 2009. IE&EM'09. 16th International Conference on, 2009, pp. 228–232. https://doi.org/10.1109/ICIEEM.2009.5344599
[36] S. Li, Z. Ma, and B. Zheng, "Dynamic multi-objective location- routing problem in post-earthquake logistics system," J. Chem. Pharm. Res., vol. 6, no. 6, pp. 1515–1520, 2014.
[37] S. Hua-li, W. Xun-qing, and X. Yao-feng, "A Bi-level Programming Model for a Multi-facility Location-Routing Problem in Urban Emergency System," in Engineering Education and Management, Springer Berlin Heidelberg, 2012, pp. 75–80.
[38] L. Alçada-Almeida, L. Tralhão, L. Santos, and J. Coutinho- Rodrigues, "A multiobjective approach to locate emergency shelters and identify evacuation routes in urban areas," Geogr. Anal., vol. 41, no. 1, pp. 9–29, 2009. https://doi.org/10.1111/j.1538-4632.2009.00745.x
[39] J. Coutinho-Rodrigues, L. Tralhão, and L. Alçada-Almeida, "Solving a location-routing problem with a multiobjective approach: the design of urban evacuation plans," J. Transp. …, vol. 22, pp. 206–218, May 2012. https://doi.org/10.1016/j.jtrangeo.2012.01.006
[40] M. Goerigk, K. Deghdak, and P. Heßler, "A comprehensive evacuation planning model and genetic solution algorithm," Transp. Res. Part E Logist. Transp. Rev., vol. 71, pp. 82–97, 2014.
[41] E. Nikbakhsh and S. H. Zegordi, "A Heuristic Algorithm and a Lower Bound for the Two-Echelon Location-Routing Problem with Soft Time Window Constraints," vol. 17, no. 1, pp. 36–47, 2010.
[42] H. I. Gündüz, "The Single-Stage Location-Routing Problem with Time Windows," pp. 44–58, 2011. https://doi.org/10.1007/978-3-642-24264-9_4
[43] M. H. Fazel Zarandi, A. Hemmati, S. Davari, and I. Burhan Turksen, "Capacitated location-routing problem with time windows under uncertainty," Knowledge-Based Syst., vol. 37, pp. 480–489, Jan. 2013. https://doi.org/10.1016/j.knosys.2012.09.007
[44] R. SONG, S. HE, and L. ZHANG, "Optimum Transit Operations during the Emergency Evacuations," J. Transp. Syst. Eng. Inf. Technol., vol. 9, no. 6, pp. 154–160, Dec. 2009. https://doi.org/10.1016/S1570-6672(08)60096-3
[45] L. Zhu, D. Hu, X. Wei, and X. Chen, "Solving the LRPTW Based on Tabu Search Algorithm," in ICLEM 2014, 2014, pp. 904–909.
[46] I. Karaoglan and F. Altiparmak, "A memetic algorithm for the capacitated location-routing problem with mixed backhauls," Comput. Oper. Res., vol. 55, pp. 200–216, 2014. https://doi.org/10.1016/j.cor.2014.06.009
[47] C. Prodhon, "Le Problème de Localisation-Routage,"2006.
[48] C. E. Coral-Gomez, "La convergencia de placas en el noroccidente Suramenricao y el origen del nido de bucaramanga," Rev. Acad. Colomb. Ciencias Exactas, Flsicas y Nat., vol. 17, no. 66, pp. 521–529, 1990.
[49] A. Barrera Navarro and A. Gomez Hernandez, "Un algoritmo evolutivo para el problema de distribución de recursos post-desastres sísmicos en la ciudad de Bucaramanga.," Universidad Industrial de Santander, 2016.
[50] E. Maldonado and G. Chio, "Identificación de las zonas sísmicas más vulnerables en la ciudad de Bucaramanga," UIS Ing., vol. 4, no. 2, pp. 99–116, 2005.
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2018-01-01
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Lamos Díaz, H., Aguilar Imitola, K., Barreto Robles, M. A., Niño Niño, P. N., & Martínez Quezada, D. O. (2018). A memetic algorithm for location-routing problem with time windows for the attention of seismic disasters: a case study from Bucaramanga, Colombia. INGE CUC, 14(1), 75–86. https://doi.org/10.17981/ingecuc.14.1.2018.7
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