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A Coronavirus Herd Immunity Optimization (CHIO) for Travelling Salesman Problem

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International Conference on Innovative Computing and Communications

Abstract

In this paper, the travelling salesman problem (TSP) is tackled by coronavirus herd immunity optimizer (CHIO). TSP is the problem of finding the best tour for the salesman in order to visit all cities with minimum cost. In essential, this is a scheduling optimization problem that belongs to NP-hard class in almost all of its variants. CHIO is a recent human-based optimization algorithm that imitated the herd immunity strategy as a way to treat COVID-19 pandemic. The proposed method is evaluated against TSP models of various sizes and complexity including six models (25, 50, 100, 150, 200, and 300) cities. The obtained results are compared against four other methods. They are the genetic algorithm (GA), imperial competitive algorithm (ICA), Keshtel algorithm (KA), and red deer algorithm (RDA). The results prove that the CHIO is able to achieve the best obtained results for all large-scaled problems and produced very comparative results for small TSP problems.

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References

  1. R. Matai, S.P. Singh, M.L. Mittal, Traveling salesman problem: an overview of applications, formulations, and solution approaches, in Traveling Salesman Problem, Theory and Applications, vol. 1 (2010)

    Google Scholar 

  2. S. Deb, S. Fong, Z. Tian, R.K. Wong, S. Mohammed, J. Fiaidhi, Finding approximate solutions of np-hard optimization and tsp problems using elephant search algorithm. J. Supercomput. 72(10), 3960–3992 (2016)

    Google Scholar 

  3. S. Arora, Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems. J. ACM (JACM) 45(5), 753–782 (1998)

    Google Scholar 

  4. R.W. Dewantoro, P. Sihombing, Sutarman, The combination of ant colony optimization (ACO) and Tabu search (TS) algorithm to solve the traveling salesman problem (TSP), in 2019 3rd International Conference on Electrical, Telecommunication and Computer Engineering (ELTICOM) (2019), pp. 160–164

    Google Scholar 

  5. X. Geng, Z. Chen, W. Yang, D. Shi, K. Zhao, Solving the traveling salesman problem based on an adaptive simulated annealing algorithm with greedy search. Appl. Soft Comput. 11(4), 3680–3689 (2011)

    Article  Google Scholar 

  6. M.-H. Chen, S.-H. Chen, P.-C. Chang, Imperial competitive algorithm with policy learning for the traveling salesman problem. Soft Comput. 21(7), 1863–1875 (2017)

    Article  Google Scholar 

  7. M. Hajiaghaei-Keshteli, M.J.A.S.C. Aminnayeri, Solving the integrated scheduling of production and rail transportation problem by Keshtel algorithm. Appl. Soft Comput. 25, 184–203 (2014)

    Google Scholar 

  8. A.M. Fathollahi-Fard, M. Hajiaghaei-Keshteli, R. Tavakkoli-Moghaddam. Red deer algorithm (RDA): a new nature-inspired meta-heuristic. Soft Comput. 1–29 (2020)

    Google Scholar 

  9. S.E. De León-Aldaco, H. Calleja, J.A. Alquicira, Metaheuristic optimization methods applied to power converters: a review. IEEE Trans. Power Electron. 30(12), 6791–6803 (2015)

    Google Scholar 

  10. M.A. Al-Betar, A.T. Khader, I.A. Doush, Memetic techniques for examination timetabling. Ann. Oper. Res. 218(1), 23–50 (2014)

    Google Scholar 

  11. M.A. Al-Betar, Z.A.A. Alyasseri, M. Awadallah, I.A. Doush, Coronavirus herd immunity optimizer (CHIO). Neural Comput. Appl. 1–32 (2020)

    Google Scholar 

  12. H. Braun, On solving travelling salesman problems by genetic algorithms, in International Conference on Parallel Problem Solving from Nature (Springer, Berlin, 1990), pp. 129–133

    Google Scholar 

  13. E. Osaba, X.-S. Yang, J. Del Ser, Traveling salesman problem: a perspective review of recent research and new results with bio-inspired metaheuristics, in Nature-Inspired Computation and Swarm Intelligence (Elsevier, Amsterdam, 2020), pp. 135–164

    Google Scholar 

  14. J.A. Regules, J.H. Beigel, K.M. Paolino, J. Voell, A.R. Castellano, Z. Hu, P. Muñoz, J.E. Moon, R.C. Ruck, J.W. Bennett et al., A recombinant vesicular stomatitis virus Ebola vaccine. New Engl. J. Med. 376(4), 330–341 (2017)

    Google Scholar 

  15. C.-C. Lai, T.-P. Shih, W.-C. Ko, H.-J. Tang, P.-R. Hsueh, Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and corona virus disease-2019 (COVID-19): the epidemic and the challenges. Int. J. Antimicrob. Agents 105924 (2020)

    Google Scholar 

  16. C.M. Pease, An evolutionary epidemiological mechanism, with applications to type a influenza. Theor. Population Biolo. 31(3), 422–452 (1987)

    Google Scholar 

  17. M.A. Awadallah, A.L. Bolaji, M.A. Al-Betar, A hybrid artificial bee colony for a nurse rostering problem. Appl. Soft Comput. 35, 726–739 (2015)

    Google Scholar 

  18. M.A. Al-Betar, A.T. Khader, M. Zaman, University course timetabling using a hybrid harmony search metaheuristic algorithm. IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.) 42(5), 664–681 (2012)

    Google Scholar 

  19. M.A. Al-Betar, University course timetabling using a hybrid harmony search metaheuristic algorithm. J. Ambient Intell. Humanized Comput. https://doi.org/10.1007/s12652-020-02047-2

Download references

Acknowledgements

The first author would like toas course timetabling, examination thank the Ajman University (AU) for supporting his Master of AI study and Research Assistant (RA) position.

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Correspondence to Mohammed Azmi Al-Betar .

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Dalbah, L.M., Al-Betar, M.A., Awadallah, M.A., Zitar, R.A. (2022). A Coronavirus Herd Immunity Optimization (CHIO) for Travelling Salesman Problem. In: Khanna, A., Gupta, D., Bhattacharyya, S., Hassanien, A.E., Anand, S., Jaiswal, A. (eds) International Conference on Innovative Computing and Communications. Advances in Intelligent Systems and Computing, vol 1394. Springer, Singapore. https://doi.org/10.1007/978-981-16-3071-2_58

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