Abstract
An improved scheduling the disinfection process of the new coronavirus (COVID-19) is introduced. The scheduling aims at achieving the best utilization of the available day time, which is calculated as the total disinfection time minus the total loss travelling time. In this regard, a new application problem is presented, which is called a travelling disinfection-man problem (TDP). The new problem (TDP) in network optimization resemble somehow the famous travelling salesman problems (TSP) but with basic distinct variations where a disinfection group is likely to select a route to reach a subset of predetermined places to be disinfected with the most utilization of the available day working hours. A nonlinear binary model is introduced with a detailed real application case study involving the improving the scheduling of coronavirus disinfection process for five contaminated faculties in Ain Shams University in Cairo, and the case study is solved using a novel discrete binary gaining-sharing knowledge-based optimization algorithm (DBGSK).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cleemput, S., Dumon, W., Fonseca, V., Abdool Karim, W., Giovanetti, M., Alcantara, L. C., Deforche, K., & de Oliveira, T. (2020, 28 February). Genome detective coronavirus typing tool for rapid identification and characterization of novel coronavirus genomes. Bioinformatics, btaa145. Retrieved at: https://doi.org/10.1093/bioinformatics/btaa145
The Lancet website (2020). A novel coronavirus outbreak of global health concern, retrieved on March 30, 2020. https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(20)30185-9/fulltext
World Health Organization (WHO) website. (2020a). Novel coronavirus (2019-nCoV) situation report–7, Data as reported by 27 January 2020.
Guan, W., Ni, Z., Hu, Y., Liang, W., Ou, C., He, J., Liu, L., Shan, H., Lei, C., Hui, D. S. C., Du, B., & Li, L. (2020, February 28) Clinical characteristics of coronavirus disease 2019 in China. The New England Journal of Medicine. https://doi.org/10.1056/NEJMoa2002032. https://doi.org/10.1056/NEJMoa200203
Wikimedia Commons website. (2020). Retrieved on April 3, 2020. https://commons.wikimedia.org/wiki/File:COVID-19_Outbreak_World_Map.svg
Ministry of Health and Population (Egypt). (2020). Retrieved on 31 March 2020. https://m.facebook.com/story.php?story_fbid=146349830248971&id=113432613540693
Centers for Decease Control and Prevention (CDC) website. (2020a). COVID-19 travel recommendations by country. Retrieved on April 3, 2020. https://www.cdc.gov/coronavirus/2019-ncov/travelers/map-and-travel-notices.html
Worldometer website. (2020a). COVID-19 Coronavirus pandemic. Retrieved on April 3, 2020. https://www.worldometers.info/coronavirus/#ref-13
Worldometer website (2020b). Coronavirus cases. Retrieved on April 1, 2020. https://www.worldometers.info/coronavirus/coronavirus-cases/#total-cases
Zhao, S., Lin, Q., Ran, J., Musa, S. S., Yang, G., Wang, W., Lou, Y., Gao, D., Yang, L., He, D., & Wang, M. H. (2020 March). Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak. International Journal of Infectious Diseases, 92, 214–217. https://doi.org/10.1016/j.ijid.2020.01.050
Centers of Disease Control and Prevention (CDC) website. (2020b). Coronavirus disease 2019. Retrieved on March 31, 2020. https://www.cdc.gov/
ServiceMaster DSI website. (2020). Preventive cleaning and decontamination, COVID-19 coronavirus disinfection. Retrieved on March 30, 2020. https://servicemasterdsi.com/coronavirus-decontamination/
Sentrex website. (2020). UK coronavirus infection control & fogging. Retrieved on March 28, 2020. https://sentrex.co.uk/service/coronavirus-infection-control/
World Health Organization (WHO) website. (2020b). Guidance for health workers. Retrieved on March 29, 2020. https://www.who.int/emergencies/diseases/novel-coronavirus-2019/technical-guidance/health-workers
Applegate, D. L., Bixby, R. E., Chvatal, V., & Cook, W. J. (2006). The traveling salesman problem: A computational study. Princeton University Press.
Environmental Consultants Inc. APEX. (2020). General guidance for building managers regarding novel coronavirus. Retrieved. https://www.smrecover.com/wp-content/uploads/2020/03/COVID-19-General-Guideline-for-Building-Managers-Final.pdf
Gleixner, A. M. (2014, April 10–11). Introduction to constraint integer programming, 5th. Porto meeting on mathematics for industry, Porto, Zuse Institute Berlin, Matheon, Berlin mathematical school.
Droste, I. (2017). Algorithms for the travelling salesman problem. Bachelor thesis, mathematics. Utrecht University.
Applegate, D. L., Bixby, R. E., Chvátal, V., Cook, W., Espinoza, D. G., Goycoolea, M., & Helsgaun, K. (2009). Certification of an optimal TSP tour through 85,900 cities. Operations Research Letters, 37(1), 11–15.
Sarubbi, J. F. M., & Luna, H. P. L. (2007). The multi-commodity traveling salesman problem. INOC—International Network Optimization Conference, April 2007. https://www.poms.ucl.ac.be/inoc2007/Papers/author.68/paper/paper.68.pdf
Pureza, V., Morabito, R., & Luna, H. P. (2018). Modelling and solving the traveling salesman problem with priority prizes. Pesquisa Operacional, 38(3), 499–522. Brazilian Operations Research Society Printed version ISSN 0101–7438/Online version ISSN 1678-5142 www.scielo.br/pope. https://doi.org/10.1590/0101-7438.2018.038.03.0499
Baldacci, R., Hadjiconstantinou, E., & Mingozzi, A. (2003). An exact algorithm for the traveling salesman problem with deliveries and collections. Networks, 42(1), 26–41, Wiley Periodicals, Inc.
Gendreau, M., Hertz, A., & Laporte, G. (1996). The travelling salesman problem with backhauls. Computers and Operations Research, 23(1996), 501–508
Aramgiatisiris, T. (2004, April–June). An exact decomposition algorithm for the traveling salesman problem with backhauls, operations research and management science units, department of industrial engineering, Kasetsart university, Bangkok, Thailand. Journal of Research in Engineering and Technology, 1(2).
Mosheiov, G. (1994). The travelling salesman problem with pick-up and delivery. European Journal of Operational Research, 79(1994), 299–310
Anily, S., & Mosheiov, G. (1994). The traveling salesman problem with delivery and backhauls. Operations Research Letter, 16(1994), 11–18
Gendreau, M., Laporte, G., & Vigo, D. (1999). Heuristics for the traveling salesman problem with pickup and delivery. Computers and Operations Research, 26(1999), 699–714
Halse, K. (1992). Modelling and solving complex vehicle routing problems, Ph.D. thesis, IMSOR, Technical University of Denmark.
Dumitrescu, I., Ropke, S., Cordeau, J., & Laporte, G. (2010, February). The traveling salesman problem with pickup and delivery: polyhedral results and a branch-and-cut algorithm. Mathematical Programming, 121, 269.
Pop, P. C. (2007). New integer programming formulations of the generalized travelling salesman problem. American Journal of Applied Sciences, 4(11), 932–937. Science Publications. ISSN 1546-9239.
Kara, I., & Bektas, T. (2003, July 6–10). Integer linear programming formulation of the generalized vehicle routing problem, presented in 5th EURO/INFORMS Joint international meeting.
Bektas, T. (2006). The multiple traveling salesman problem: An overview of formulations and solution procedures. OMEGA: The International Journal of Management Science, 34(3), 209–219.
Oberlin, P., Rathinam, S., & Darbha, S. (2009, June 10–12). A transformation for a heterogeneous, multi-depot, multiple traveling salesman problem. In Proceedings of the American control conference, (pp. 1292–1297), St. Louis.
Demiral, M. F., & Şen, H. (2016, May–August). Integer programming model for two-centered double traveling salesman problem. European Journal of Economics and Business Studies, 2(2). ISSN 2411-9571.
Silva, M. M., Subramanian, A., Vidal, T., & Ochi, L. S. (2012). A simple and effective metaheuristic for the minimum latency problem. European Journal of Operational Research, 221, 513–520
Onder, G., Kara, I., & Derya, T. (2016). New integer programming formulation for multiple traveling repairmen problem, 19th. EURO Working group on transportation my assays Ltd., My Curve Fit software, online curve fitting. Retrieved. https://mycurvefit.com/
Orman, A. J., & Williams, H. P. (2005). A survey of different integer programming formulations of the travelling salesman problem. Operational research working papers, LSEOR 04.67. Department of operational research, London school of economics and political science. Revised July 2005.
Fox, K. R., Gavish, B., & Graves, S. C. (1980). An n-constraint formulation of the (time dependent) travelling salesman problem. Operations Research, 28, 1018–1021
Vajda, S. (1961). Mathematical programming. Addison-Wesley.
Miller, C. E., Tucker, A. W., & Zemlin, R. A. (1960). Integer programming formulation of travelling salesman problems. Journal of the ACM, 3, 326–329
Sawik, T. (2016). A note on the Miller-Tucker-Zemlin model for the asymmetric traveling salesman problem. Bulletin of the Polish Academy of Sciences Technical Sciences, 64(3), 2016. https://doi.org/10.1515/bpasts-2016-0057
Gavish, B., & Graves, S. C. (1978). The travelling salesman problem and related problems. Working Paper OR-078-78, Operations research center, MIT.
Finke, G., Claus, A., & Gunn, E. (1983). A two-commodity network flow approach to the travelling salesman problem, Combinatorics, Graph theory and computing, Proceedings 14th South Eastern conference. Atlantic University.
Dantzig, G. B., Fulkerson, D. R., & Johnson, S. M. (1954). Solutions of a large scale travelling salesman problem. Operations Research, 2, 393–410
Wong, R. T. (1980). Integer programming formulations of the travelling salesman problem. Proceedings IEEE conference on circuits and computers, (pp. 149–152). https://www.who.int/docs/default-source/coronaviruse/situation-reports/20200127-sitrep-7-2019--ncov.pdf
Ain Shams University official web site. (2020). History. Retrieved. https://www.asu.edu.eg/
Claus, A. (1984). A new formulation for the travelling salesman problem. SIAM Journal Algebraic and Discrete Mathods, 5, 21–25
Pinter, C. C., (2014). A book of set theory. Dover Publications Inc. ISBN10Â 0486497089, ISBN13Â 9780486497082.
Koopialipoor, M., & Noorbakhsh, A. (2020). Applications of artificial intelligence techniques in optimizing drilling, Chapter 6. In: A. Azizi, (Ed.), Emerging trends in mechatronics, InTechOpen. https://doi.org/10.5772/intechopen.85398
Azizi, A. (2017). Introducing a novel hybrid artificial intelligence algorithm to optimize network of industrial applications in modern manufacturing. Complexity, 18. https://doi.org/10.1155/2017/8728209
Mohamed, A. W., Hadi, A. A., & Mohamed, A. K. (2020). Gaining-sharing knowledge-based algorithm for solving optimization problems: A novel nature-inspired algorithm. International Journal of Machine Learning and Cybernetics, 11, 1501–1529
Deb, K. (2000). An efficient constraint handling method for genetic algorithms. Computer Methods in Applied Mechanics and Engineering, 186(2–4), 311–338
Coello, C. A. C. (2002). Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state of the art. Computer Methods in Applied Mechanics and Engineering, 191(11–12), 1245–1287
Muangkote, N., Photong, L., & Sukprasert, A. (2019). Effectiveness of constrained handling techniques of improved constrained differential evolution algorithm applied to constrained optimization problems in mechanical engineering.
Long, W., Liang, X., Huang, Y., & Chen, Y. (2013). A hybrid differential evolution augmented Lagrangian method for constrained numerical and engineering optimization. Computer-Aided Design, 45(12), 1562–1574
Bahreininejad, A. (2019). Improving the performance of water cycle algorithm using augmented Lagrangian method. Advances in Engineering Software, 132, 55–64
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Hassan, S.A., Agrawal, P., Ganesh, T., Mohamed, A.W. (2021). A Travelling Disinfection-Man Problem (TDP) for COVID-19: A Nonlinear Binary Constrained Gaining-Sharing Knowledge-Based Optimization Algorithm. In: Niranjanamurthy, M., Bhattacharyya, S., Kumar, N. (eds) Intelligent Data Analysis for COVID-19 Pandemic. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-16-1574-0_13
Download citation
DOI: https://doi.org/10.1007/978-981-16-1574-0_13
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-1573-3
Online ISBN: 978-981-16-1574-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)