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A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation

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  • Jadidi, O.
  • Zolfaghari, S.
  • Cavalieri, S.

Abstract

This paper models the problem of supplier selection as a multi-objective optimization problem (MOOP) where minimization of price, rejects and lead-time are considered as three objectives. The paper considers two different cases: (1) the crisp MOOP in which the goals of objectives are predetermined; and (2) the fuzzy MOOP in which the weights of objectives are predetermined. In both cases, the aim is to achieve some levels of consistency among different objectives. To do so, a normalized goal programming approach is developed and tested for both cases. In order to compare the effectiveness of the proposed method, a comparative analysis is presented which includes weighted goal programming, compromise programming, TOPSIS, weighted objectives, min–max goal programming and weighted max–min models. An illustrative example reveals that our proposed model is able to achieve the desirable consistency among all objectives.

Suggested Citation

  • Jadidi, O. & Zolfaghari, S. & Cavalieri, S., 2014. "A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation," International Journal of Production Economics, Elsevier, vol. 148(C), pages 158-165.
  • Handle: RePEc:eee:proeco:v:148:y:2014:i:c:p:158-165
    DOI: 10.1016/j.ijpe.2013.10.005
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    References listed on IDEAS

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    3. Demirci, Mehmet & Bettinger, Pete, 2015. "Using mixed integer multi-objective goal programming for stand tending block designation: A case study from Turkey," Forest Policy and Economics, Elsevier, vol. 55(C), pages 28-36.
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    5. Ali Salmasnia & Hamid Daliri & Ali Ghorbanian & Hadi Mokhtari, 2018. "A statistical analysis and simulation based approach to an uncertain supplier selection problem with discount option," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(6), pages 1250-1259, December.
    6. Selma Gütmen & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2024. "An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(3), pages 557-568, September.
    7. Nadine Kafa & Yasmina Hani & Abederrahman El Mhamedi, 2018. "Evaluating and selecting partners in sustainable supply chain network: a comparative analysis of combined fuzzy multi-criteria approaches," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 14-49, March.
    8. Yadavalli, Venkata SS & Darbari, Jyoti Dhingra & Bhayana, Nidhi & Jha, P.C. & Agarwal, Vernika, 2019. "An integrated optimization model for selection of sustainable suppliers based on customers’ expectations," Operations Research Perspectives, Elsevier, vol. 6(C).
    9. Irfan Ali & Armin Fügenschuh & Srikant Gupta & Umar Muhammad Modibbo, 2020. "The LR-Type Fuzzy Multi-Objective Vendor Selection Problem in Supply Chain Management," Mathematics, MDPI, vol. 8(9), pages 1-25, September.
    10. Deng Xiong & Liu Yanli, 2018. "A High-Moment Trapezoidal Fuzzy Random Portfolio Model with Background Risk," Journal of Systems Science and Information, De Gruyter, vol. 6(1), pages 1-28, February.
    11. Hosseininasab, Amin & Ahmadi, Abbas, 2015. "Selecting a supplier portfolio with value, development, and risk consideration," European Journal of Operational Research, Elsevier, vol. 245(1), pages 146-156.
    12. Omid Jadidi & Fatemeh Firouzi & John S. Loucks & Yong Shin Park, 2022. "Multi-criteria supplier selection problem with fuzzy demand: a newsvendor model," Computational Management Science, Springer, vol. 19(3), pages 375-394, July.
    13. Dey, Prasanta Kumar & Bhattacharya, Arijit & Ho, William, 2015. "Strategic supplier performance evaluation: A case-based action research of a UK manufacturing organisation," International Journal of Production Economics, Elsevier, vol. 166(C), pages 192-214.
    14. Ehsan Afshar Bakeshlou & Alireza Arshadi Khamseh & Mohammad Ali Goudarzian Asl & Javad Sadeghi & Mostafa Abbaszadeh, 2017. "Evaluating a green supplier selection problem using a hybrid MODM algorithm," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 913-927, April.
    15. Hosseini, Seyedmohsen & Barker, Kash, 2016. "A Bayesian network model for resilience-based supplier selection," International Journal of Production Economics, Elsevier, vol. 180(C), pages 68-87.
    16. Arbolino, Roberta & Carlucci, Fabio & Cirà, Andrea & Yigitcanlar, Tan & Ioppolo, Giuseppe, 2018. "Mitigating regional disparities through microfinancing: An analysis of microcredit as a sustainability tool for territorial development in Italy," Land Use Policy, Elsevier, vol. 70(C), pages 281-288.
    17. Shekarian, Mansoor & Reza Nooraie, Seyed Vahid & Parast, Mahour Mellat, 2020. "An examination of the impact of flexibility and agility on mitigating supply chain disruptions," International Journal of Production Economics, Elsevier, vol. 220(C).

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