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Implementation and Comparison of Four Algorithms on Transportation Problem

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Science and Technologies for Smart Cities (SmartCity 360 2021)

Abstract

The transportation problem is a very applicable and relevant logistic problem. In this paper, to test meta-heuristics on the transportation problem and also improve initial feasible solutions in few number of iterations, four recent and effective meta-heuristic algorithms are used to solve transportation problems. Laying Chicken Algorithm (LCA), Volcano Eruption Algorithm (VEA), COVID-19 Optimizer Algorithm (CVA), and Multiverse Algorithm (MVA) are implemented to solve different sizes of the transportation problem. Computational results show that CVA is the most efficient optimizer for large size cases and LCA is the best algorithm for the others. Finally, convergence of algorithms will be discussed and rate of convergence will be compared. The advantage of these heuristics are that they can be easily adapted to more challenging versions of the transportation problem which are not solveable by the Simplex method.

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References

  1. Aizemberg, L., Kramer, H.H., Pessoa, A.A., Uchoa, E.: Formulations for a problem of petroleum transportation. Eur. J. Oper. Res. 237(1), 82–90 (2014). https://doi.org/10.1016/j.ejor.2014.01.036

    Article  MathSciNet  MATH  Google Scholar 

  2. Amaliah, B., Fatichah, C., Suryani, E.: A new heuristic method of finding the initial basic feasible solution to solve the transportation problem. J. King Saud Univ. Comput. Inf. Sci. 22 (2020)

    Google Scholar 

  3. Cosma, O., Pop, P.C., Dănciulescu, D.: A novel matheuristic approach for a two-stage transportation problem with fixed costs associated to the routes. Comput. Oper. Res. 118, 104906 (2020). https://doi.org/10.1016/j.cor.2020.104906

    Article  MathSciNet  MATH  Google Scholar 

  4. Hosseini, E.: Laying chicken algorithm: a new meta-heuristic approach to solve continuous programming problems. J. Appl. Comput. Math. 6(1), 1–8 (2017)

    Article  Google Scholar 

  5. Hosseini, E., Sadiq, A.S., Ghafoor, K.Z., Rawat, D.B., Saif, M., Yang, X.: Volcano eruption algorithm for solving optimization problems. Neural Comput. Appl. 33(7), 2321–37 (2021)

    Article  Google Scholar 

  6. Hosseini, E., Ghafoor, K.Z., Sadiq, A.S., Guizani, M., Emrouznejad, A.: Covid-19 optimizer algorithm, modeling and controlling of coronavirus distribution process. IEEE J. Biomed. Health Inf. 24(10), 2765–2775 (2020)

    Article  Google Scholar 

  7. Hosseini, E., Ghafoor, K.Z., Emrouznejad, A., Sadiq, A.S., Rawat, D.B.: Novel metaheuristic based on multiverse theory for optimization problems in emerging systems. Appl. Intell. 11, 1–8 (2020)

    Google Scholar 

  8. Juman, Z.A., Hoque, M.A.: An efficient heuristic to obtain a better initial feasible solution to the transportation problem. Appl. Soft Comput. 1(34), 813–26 (2015)

    Article  Google Scholar 

  9. Juman, Z.A.M.S., Hoque, M.A., Buhari, M.I.: A sensitivity analysis and an implementation of the Wellknown Vogel’s approximation method for solving unbalanced transportation problem. Malays. J. Sci. 32(1), 66–72 (2013)

    Article  Google Scholar 

  10. Ramadan, S.Z., Ramadan, I.Z.: Hybrid two-stage algorithm for solving transportation problem. Mod. Appl. Sci. 6(4), 12 (2012)

    Article  Google Scholar 

  11. Soriano, A., Vidal, T., Gansterer, M., Doerner, K.: The vehicle routing problem with arrival time diversification on a multigraph. Eur. J. Oper. Res. 286(2), 564–575 (2020)

    Article  MathSciNet  Google Scholar 

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Correspondence to Kayhan Zrar Ghafoor .

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Hosseini, E., Reinhardt, L., Ghafoor, K.Z., Rawat, D.B. (2022). Implementation and Comparison of Four Algorithms on Transportation Problem. In: Paiva, S., et al. Science and Technologies for Smart Cities. SmartCity 360 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 442. Springer, Cham. https://doi.org/10.1007/978-3-031-06371-8_28

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  • DOI: https://doi.org/10.1007/978-3-031-06371-8_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-06370-1

  • Online ISBN: 978-3-031-06371-8

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