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New multi-objective optimization model for tourism systems with fuzzy data and new approach developed epsilon constraint method

Author

Listed:
  • Gholamreza Shojatalab

    (University of Mazandaran)

  • Seyed Hadi Nasseri

    (University of Mazandaran)

  • Iraj Mahdavi

    (Mazandaran University of Science and Technology)

Abstract

Tourism is one of the fastest-growing industries in the world and the most significant service sector industry. A fundamental question that can be prompted is how to minimize the total tour cost and, at the same time, design the tour to make the tourists get maximum satisfaction. This paper proposes a new multi-objective optimization model for tourism systems with fuzzy data and new approach developed Epsilon constraint method. We have considered problem modelling in the form of multi-objective optimization in which we can optimize the conflicting goals at the same time. Here we have considered a provider of tour packages that intends to minimize its total costs and, at the same time, maximize the satisfaction of tourists with their packages. In our proposed model, some of the model parameters are fuzzy numbers, so an appropriate algorithm is proposed to solve the multi-objective optimization model. The results can offer constructive suggestions on how to design tours on the part of tourism enterprises and choose a proper tour. One of the advantages of the method used in this article is the simultaneous use of deterministic (certain) variables and fuzzy variables, which is presented as a multi-objective optimization model. Also, a new constraint is added to our model according to the relationship between cost and satisfaction level. Also, to deal with this specific multi-objective optimization model, a new algorithm with new approach Developed Epsilon constraint method is proposed. The proposed algorithm is used in a case study, and in this example, it performed better than the other algorithms.

Suggested Citation

  • Gholamreza Shojatalab & Seyed Hadi Nasseri & Iraj Mahdavi, 2023. "New multi-objective optimization model for tourism systems with fuzzy data and new approach developed epsilon constraint method," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1360-1385, September.
  • Handle: RePEc:spr:opsear:v:60:y:2023:i:3:d:10.1007_s12597-023-00660-1
    DOI: 10.1007/s12597-023-00660-1
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    References listed on IDEAS

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    1. Calver, Stephen J. & Page, Stephen J., 2013. "Enlightened hedonism: Exploring the relationship of service value, visitor knowledge and interest, to visitor enjoyment at heritage attractions," Tourism Management, Elsevier, vol. 39(C), pages 23-36.
    2. Gholamreza Shojatalab & Seyed Hadi Nasseri & Iraj Mahdavi, 2022. "New multi-objective optimization model for tourism systems with fuzzy data and new algorithm for solving this model," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 1018-1037, September.
    3. Armindo Frias & João Cabral & à lvaro Costa, 2015. "Logistic optimization in tourism networks," ERSA conference papers ersa15p1451, European Regional Science Association.
    4. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    5. Clemente-Císcar, M. & San Matías, S. & Giner-Bosch, V., 2014. "A methodology based on profitability criteria for defining the partial defection of customers in non-contractual settings," European Journal of Operational Research, Elsevier, vol. 239(1), pages 276-285.
    6. H. P. Benson & E. Sun, 2000. "Outcome Space Partition of the Weight Set in Multiobjective Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 17-36, April.
    7. Matthias Ehrgott, 2005. "Multicriteria Optimization," Springer Books, Springer, edition 0, number 978-3-540-27659-3, September.
    8. Audet, Charles & Bigeon, Jean & Cartier, Dominique & Le Digabel, Sébastien & Salomon, Ludovic, 2021. "Performance indicators in multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 292(2), pages 397-422.
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