Designing a bi-objective decision support model for the disaster management
RAIRO. Operations Research, Tome 55 (2021) no. 6, pp. 3399-3426

This paper addresses the allocation and scheduling of the relief teams as one of the main issues in the response phase of the disaster management. In this study, a bi-objective mixed-integer programming (BOMIP) model is proposed to assign and schedule the relief teams in the disasters. The first objective function aims to minimize the sum of weighted completion times of the incidents. The second objective function also minimizes the sum of weighted tardiness of the relief operations. In order to be more similar to the real world, time windows for the incidents and damaged routes are considered in this research. Furthermore, the actual relief time of an incident by the relief team is calculated according to the position of the corresponding relief team and the fatigue effect. Due to NP-hardness of the considered problem, the proposed model cannot present the Pareto solution in a reasonable time. Thus, NSGA-II and PSO algorithms are applied to solve the problem. Furthermore, the obtained results of the proposed algorithms are compared with respect to different performance metrics in large-size test problems. Finally, the sensitivity analysis and the managerial suggestions are provided to investigate the impact of some parameters on the Pareto frontier.

DOI : 10.1051/ro/2021144
Classification : 90C11, 90C90
Keywords: Disaster management, fatigue effect, time window, multi-objective metaheuristic algorithms
@article{RO_2021__55_6_3399_0,
     author = {Nayeri, Sina and Asadi-Gangraj, Ebrahim and Emami, Saeed and Rezaeian, Javad},
     title = {Designing a bi-objective decision support model for the disaster management},
     journal = {RAIRO. Operations Research},
     pages = {3399--3426},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {6},
     doi = {10.1051/ro/2021144},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2021144/}
}
TY  - JOUR
AU  - Nayeri, Sina
AU  - Asadi-Gangraj, Ebrahim
AU  - Emami, Saeed
AU  - Rezaeian, Javad
TI  - Designing a bi-objective decision support model for the disaster management
JO  - RAIRO. Operations Research
PY  - 2021
SP  - 3399
EP  - 3426
VL  - 55
IS  - 6
PB  - EDP-Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2021144/
DO  - 10.1051/ro/2021144
LA  - en
ID  - RO_2021__55_6_3399_0
ER  - 
%0 Journal Article
%A Nayeri, Sina
%A Asadi-Gangraj, Ebrahim
%A Emami, Saeed
%A Rezaeian, Javad
%T Designing a bi-objective decision support model for the disaster management
%J RAIRO. Operations Research
%D 2021
%P 3399-3426
%V 55
%N 6
%I EDP-Sciences
%U https://www.numdam.org/articles/10.1051/ro/2021144/
%R 10.1051/ro/2021144
%G en
%F RO_2021__55_6_3399_0
Nayeri, Sina; Asadi-Gangraj, Ebrahim; Emami, Saeed; Rezaeian, Javad. Designing a bi-objective decision support model for the disaster management. RAIRO. Operations Research, Tome 55 (2021) no. 6, pp. 3399-3426. doi: 10.1051/ro/2021144

[1] S. Ajami and M. Fattahi, The role of earthquake information management systems (EIMSs) in reducing destruction: A comparative study of Japan, Turkey and Iran. Disaster Prev. Manag. An Int. J. 18 (2009) 150–161. | DOI

[2] N. Altay and W. G. Green, OR/MS research in disaster operations management. Eur. J. Oper. Res. 175 (2006) 475–493. | Zbl | DOI

[3] M. Afzalirad and J. Rezaeian, A realistic variant of bi-objective unrelated parallel machine scheduling problem: NSGA-II and MOACO approaches. Appl. Soft Comput. 50 (2017) 109–123. | DOI

[4] B. Balcik, B. M. Beamon, C. C. Krejci, K. M. Muramatsu and M. Ramirez, Coordination in humanitarian relief chains: Practices, challenges and opportunities. Int. J. Prod. Econ. 126 (2010) 22–34. | DOI

[5] T. Bektas, The multiple traveling salesman problem: An overview of formulations and solution procedures. Omega 34 (2006) 209–219. | DOI

[6] H. Billhardt, M. Lujak, V. Sánchez-Brunete, A. Fernández and S. Ossowski, Dynamic coordination of ambulances for emergency medical assistance services. Knowledge-Based Syst. 70 (2014) 268–280. | DOI

[7] D. Biskup, Single-machine scheduling with learning considerations. Eur. J. Oper. Res. 115 (1999) 173–178. | Zbl | DOI

[8] D. Biskup, A state-of-the-art review on scheduling with learning effects. Eur. J. Oper. Res. 188 (2008) 315–329. | Zbl | DOI

[9] B. Bodaghi, E. Palaneeswaran, S. Shahparvari and M. Mohammadi, Probabilistic allocation and scheduling of multiple resources for emergency operations; a Victorian bushfire case study. Comput. Environ. Urban Syst. 81 (2020) 101479. | DOI

[10] J.-F. Camacho-Vallejo, E. González-Rodrguez, F.-J. Almaguer and R. G. González-Ramrez, A bi-level optimization model for aid distribution after the occurrence of a disaster. J. Clean. Prod. 105 (2015) 134–145. | DOI

[11] A. M. Campbell and P. C. Jones, Prepositioning supplies in preparation for disasters. Eur. J. Oper. Res. 209 (2011) 156–165. | Zbl | DOI

[12] V. Cantillo, I. Serrano, L. F. Macea and J. Holgun-Veras, Discrete choice approach for assessing deprivation cost in humanitarian relief operations. Socioecon. Plann. Sci. 63 (2018) 33–46. | DOI

[13] Y. Chen, Q. Zhao, L. Wang and M. Dessouky, The regional cooperation-based warehouse location problem for relief supplies. Comput. Ind. Eng. 102 (2016) 259–267. | DOI

[14] T. C. E. Cheng and G. Wang, Single machine scheduling with learning effect considerations. Ann. Oper. Res. 98 (2000) 273–290. | Zbl | DOI

[15] T. C. E. Cheng, C.-C. Wu and W.-C. Lee, Some scheduling problems with sum-of-processing-times-based and job-position-based learning effects. Inf. Sci. (Ny) 178 (2008) 2476–2487. | Zbl | DOI

[16] C. Chinnarasri and K. Phothiwijit, Appropriate engineering measures with participation of community for flood disaster reduction: Case of the Tha Chin Basin, Thailand. Arab. J. Sci. Eng. 41 (2016) 4879–4892. | DOI

[17] L. K. Comfort, K. Ko and A. Zagorecki, Coordination in rapidly evolving disaster response systems: The role of information. Am. Behav. Sci. 48 (2004) 295–313. | DOI

[18] V. Cunha, L. Pessoa, M. Vellasco, R. Tanscheit and M. A. Pacheco, A biased random-key genetic algorithm for the rescue unit allocation and scheduling problem. In: 2018 IEEE Congress on Evolutionary Computation (CEC). IEEE (2018) 1–6.

[19] K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6 (2002) 182–197. | DOI

[20] R. Eberhart and J. Kennedy, A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micro Machine and Human Science. IEEE (1995) 39–43. | DOI

[21] M. Falasca, C. W. Zobel and G. M. Fetter, An optimization model for humanitarian relief volunteer management. In: Proceedings of the 6th International ISCRAM Conference (2009).

[22] F. Fiedrich, F. Gehbauer and U. Rickers, Optimized resource allocation for emergency response after earthquake disasters. Saf. Sci. 35 (2000) 41–57. | DOI

[23] P. Gasparini, G. Manfredi and J. Zschau, Earthquake early warning systems. Springer (2007). | DOI

[24] F. Glover and E. Woolsey, Technical note – Converting the 0–1 polynomial programming problem to a 0–1 linear program. Oper. Res. 22 (1974) 180–182. | Zbl | DOI

[25] M. Grabowski, C. Rizzo and T. Graig, Data challenges in dynamic, large-scale resource allocation in remote regions. Saf. Sci. 87 (2016) 76–86. | DOI

[26] J. Gu, Y. Zhou, A. Das, I. Moon and G. Lee, Medical relief shelter location problem with patient severity under a limited relief budget. Comput. Ind. Eng. 125 (2018) 720–728. | DOI

[27] K. Huang, Y. Jiang, Y. Yuan and L. Zhao, Modeling multiple humanitarian objectives in emergency response to large-scale disasters. Transp. Res. Part E Logist. Transp. Rev. 75 (2015) 1–17. | DOI

[28] M. Huang, K. Smilowitz and B. Balcik, Models for relief routing: Equity, efficiency and efficacy. Transp. Res. Part E Logist. Transp. Rev. 48 (2012) 2–18. | DOI

[29] P.-J. Lai and W.-C. Lee, Single-machine scheduling with general sum-of-processing-time-based and position-based learning effects. Omega 39 (2011) 467–471. | DOI

[30] Y. Liu, H. Lei, Z. Wu and D. Zhang, A robust model predictive control approach for post-disaster relief distribution. Comput. Ind. Eng. 135 (2019) 1253–1270. | DOI

[31] G. Mavrotas, Effective implementation of the ϵ -constraint method in multi-objective mathematical programming problems. Appl. Math. Comput. 213 (2009) 455–465. | Zbl

[32] M. Musavi and A. Bozorgi-Amiri, A multi-objective sustainable hub location-scheduling problem for perishable food supply chain. Comput. Ind. Eng. 113 (2017) 766–778. | DOI

[33] M. Najafi, K. Eshghi and W. Dullaert, A multi-objective robust optimization model for logistics planning in the earthquake response phase. Transp. Res. Part E Logist. Transp. Rev. 49 (2013) 217–249. | DOI

[34] S. Nayeri, E. Asadi-Gangraj and S. Emami, Metaheuristic algorithms to allocate and schedule of the rescue units in the natural disaster with fatigue effect. Neural Comput. Appl. 31 (2019) 7517–7537. | DOI

[35] F. Nisha De Silva, Providing spatial decision support for evacuation planning: A challenge in integrating technologies. Disaster Prev. Manag. An Int. J. 10 (2001) 11–20. | DOI

[36] N. Noyan, Risk-averse two-stage stochastic programming with an application to disaster management. Comput. Oper. Res. 39 (2012) 541–559. | Zbl | DOI

[37] G. S. Peace, Taguchi methods: A hands-on approach. Addison Wesley Publishing Company (1993).

[38] E. Pollak, M. Falash, L. Ingraham and V. Gottesman, Operational analysis framework for emergency operations center preparedness training. In: Proceedings 36th Winter Simulation Conference (2004) 839–848.

[39] R. Pradhananga, F. Mutlu, S. Pokharel, J. Holguín-Veras and D. Seth, An integrated resource allocation and distribution model for pre-disaster planning. Comput. Ind. Eng. 91 (2016) 229–238. | DOI

[40] S. H. A. Rahmati, V. Hajipour and S. T. A. Niaki, A soft-computing Pareto-based meta-heuristic algorithm for a multi-objective multi-server facility location problem. Appl. Soft Comput. 13 (2013) 1728–1740. | DOI

[41] K. Ransikarbum and S. J. Mason, Goal programming-based post-disaster decision making for integrated relief distribution and early-stage network restoration. Int. J. Prod. Econ. 182 (2016) 324–341. | DOI

[42] G. Rauchecker and G. Schryen, An exact branch-and-price algorithm for scheduling rescue units during disaster response. Eur. J. Oper. Res. 272 (2019) 352–363. | DOI

[43] C. G. Rawls and M. A. Turnquist, Pre-positioning of emergency supplies for disaster response. Transp. Res. Part B Methodol. 44 (2010) 521–534. | DOI

[44] M. Rezaei-Malek, R. Tavakkoli-Moghaddam, B. Zahiri and A. Bozorgi-Amiri, An interactive approach for designing a robust disaster relief logistics network with perishable commodities. Comput. Ind. Eng. 94 (2016) 201–215. | DOI

[45] E. Rolland, R. A. Patterson, K. Ward and B. Dodin, Decision support for disaster management. Oper. Manag. Res. 3 (2010) 68–79. | DOI

[46] K. Saleem, S. Luis, Y. Deng, S.-C. Chen, V. Hristidis and T. Li, Towards a business continuity information network for rapid disaster recovery. In: Proceedings of the 2008 International Conference on Digital Government Society of North America (2008) 107–116.

[47] A. Santoso, R. A. P. Sutanto, D. N. Prayogo and J. Parung, Development of fuzzy RUASP model – Grasp metaheuristics with time window: Case study of Mount Semeru eruption in East Java. In: IOP Conference Series: Earth and Environmental Science. IOP Publishing (2019) 12081.

[48] J. Sathish Kumar and M. A. Zaveri, Resource scheduling for postdisaster management in IoT environment. Wirel. Commun. Mob. Comput. (2019) 7802843.

[49] B. Shahidi-Zadeh, R. Tavakkoli-Moghaddam, A. Taheri-Moghadam and I. Rastgar, Solving a bi-objective unrelated parallel batch processing machines scheduling problem: A comparison study. Comput. Oper. Res. 88 (2017) 71–90. | DOI

[50] S. M. Shavarani, M. Golabi, B. Vizvari, Assignment of medical staff to operating rooms in disaster preparedness: A novel stochastic approach. IEEE Trans. Eng. Manag. 67 (2019) 593–602. | DOI

[51] J.-B. Sheu, An emergency logistics distribution approach for quick response to urgent relief demand in disasters. Transp. Res. Part E Logist. Transp. Rev. 43 (2007) 687–709. | DOI

[52] J.-B. Sheu, Dynamic relief-demand management for emergency logistics operations under large-scale disasters. Transp. Res. Part E Logist. Transp. Rev. 46 (2010) 1–17. | DOI

[53] I. Sung and T. Lee, Optimal allocation of emergency medical resources in a mass casualty incident: patient prioritization by column generation. Eur. J. Oper. Res. 252 (2016) 623–634. | Zbl | DOI

[54] A. Svensson, J. Holst, R. Lindquist and G. Lindgren, Optimal prediction of catastrophes in autoregressive moving-average processes. J. Time Ser. Anal. 17 (1996) 511–531. | Zbl | DOI

[55] G. Taguchi, Introduction to quality engineering: Designing quality into products and processes. Unipub/Kraus (1986).

[56] H. Tamura, K. Yamamoto, S. Tomiyama and I. Hatono, Modeling and analysis of decision making problem for mitigating natural disaster risks. Eur. J. Oper. Res. 122 (2000) 461–468. | Zbl | DOI

[57] S. A. Torabi, N. Sahebjamnia, S. A. Mansouri and M. A. Bajestani, A particle swarm optimization for a fuzzy multi-objective unrelated parallel machines scheduling problem. Appl. Soft Comput. 13 (2013) 4750–4762. | DOI

[58] UN ISDR, Hyogo framework for action 2005–2015: Building the resilience of nations and communities to disasters. In: Extract from the final report of the World Conference on Disaster Reduction (A/CONF. 206/6) (2005).

[59] A. A. Visheratin, M. Melnik, D. Nasonov, N. Butakov and A. V. Boukhanovsky, Hybrid scheduling algorithm in early warning systems. Future Gener. Comput. Syst. 79 (2018) 630–642. | DOI

[60] B. Vitoriano, M. T. Ortuño, G. Tirado and J. Montero, A multi-criteria optimization model for humanitarian aid distribution. J. Glob. Optim. 51 (2011) 189–208. | Zbl | DOI

[61] D. Wang, C. Qi and H. Wang, Improving emergency response collaboration and resource allocation by task network mapping and analysis. Saf. Sci. 70 (2014) 9–18. | DOI

[62] J.-B. Wang and J.-J. Wang, Single machine scheduling with sum-of-logarithm-processing-times based and position based learning effects. Optim. Lett. 8 (2014) 971–982. | Zbl | DOI

[63] Z. Wen, Z. Xiong, H. Lu and Y. Xia, Optimisation of treatment scheme for water inrush disaster in tunnels based on fuzzy multi-criteria decision-making in an uncertain environment. Arab. J. Sci. Eng. 44 (2019) 8249–8263. | DOI

[64] F. Wex, G. Schryen and D. Neumann, Intelligent decision support for centralized coordination during emergency response. In: Proceedings of the 8th International ISCRAM Conference (2011).

[65] F. Wex, G. Schryen and D. Neumann, Operational emergency response under informational uncertainty: A fuzzy optimization model for scheduling and allocating rescue units, edited by Z. Franco and J. R. L. Rothkrantz, in: Proc. of the 9th International ISCRAM Conference. Simon Fraser University, Vancouver, BC (2012).

[66] F. Wex, G. Schryen and D. Neumann, Decision modeling for assignments of collaborative rescue units during emergency response. In: 46th Hawaii International Conference on System Sciences. IEEE (2013) 166–175.

[67] F. Wex, G. Schryen, S. Feuerriegel and D. Neumann, Emergency response in natural disaster management: Allocation and scheduling of rescue units. Eur. J. Oper. Res. 235 (2014) 697–708. | Zbl | DOI

[68] N. Xu, Q. Zhang, H. Zhang, M. Hong, R. Akerkar and Y. Liang, Global optimization for multi-stage construction of rescue units in disaster response. Sustain. Cities Soc. 51 (2019) 101768. | DOI

[69] Y. Yin, C.-C. Wu, W.-H. Wu and S.-R. Cheng, The single-machine total weighted tardiness scheduling problem with position-based learning effects. Comput. Oper. Res. 39 (2012) 1109–1116. | Zbl | DOI

[70] Y. Yuan, Z. Fan and Y. Liu, Study on the model for the assignment of rescue workers in emergency rescue. Chinese J. Manag. Sci. 21 (2013) 152–160.

[71] M. H. F. Zarandi and V. Kayvanfar, A bi-objective identical parallel machine scheduling problem with controllable processing times: A just-in-time approach. Int. J. Adv. Manuf. Technol. 77 (2015) 545–563. | DOI

[72] C. Zhang, X. Liu, Y. P. Jiang, B. Fan and X. Song, A two-stage resource allocation model for lifeline systems quick response with vulnerability analysis. Eur. J. Oper. Res. 250 (2016) 855–864. | Zbl | DOI

[73] S. Zhang, H. Guo, K. Zhu, S. Yu and J. Li, Multistage assignment optimization for emergency rescue teams in the disaster chain. Knowledge-Based Syst. 137 (2017) 123–137. | DOI

[74] L. Zhou, X. Wu, Z. Xu and H. Fujita, Emergency decision making for natural disasters: An overview. Int. J. Disaster Risk Reduct. 27 (2018) 567–576. | DOI

[75] E. Zitzler, Evolutionary algorithms for multiobjective optimization: Methods and applications (1999).

Cité par Sources :