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A combined approach for fuzzy multi-objective multiple knapsack problems for defence project selection

Author

Listed:
  • B B Bakirli

    (Department of Operations Research, Turkish Air Force HQ Operations Division, Ankara, Turkey)

  • C Gencer

    (Department of Industrial Engineering, Faculty of Engineering, Gazi University, Ankara, Turkey)

  • E K Aydoğan

    (Department of Industrial Engineering, Faculty of Engineering, Erciyes University, Kayseri, Turkey)

Abstract

In this study, a model representing military requirements as scenarios and capabilities is offered. Pair-wise comparisons of scenarios are made according to occurrence probabilities by using the Analytical Hierarchy Process (AHP). The weights calculated from AHP are used as the starting weights in a Quality Function Deployment (QFD) matrix. QFD is used to transfer war fighter requirements into the benefit values of projects. Two levels of QFD matrices are used to evaluate new capability areas versus capabilities and capabilities versus projects. The benefit values of the projects are used in a multi-objective problem (multi-objective multiple knapsack problem) that considers the project benefit, implementation risks and environmental impact as multiple objectives. Implementation risk and environmental impact values are also calculated using the same combined AHP and QFD methodology. Finally, the results of the fuzzy multi-objective goal programming suggest a list of projects that offers optimal benefit when carried out within multiple budgets.

Suggested Citation

  • B B Bakirli & C Gencer & E K Aydoğan, 2014. "A combined approach for fuzzy multi-objective multiple knapsack problems for defence project selection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1001-1016, July.
  • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:7:p:1001-1016
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    Cited by:

    1. Xu, Wangtu & Lin, Weihua, 2016. "Selecting the public transit projects with PCA-DP technique: The example of Xiamen City," Transport Policy, Elsevier, vol. 46(C), pages 56-71.
    2. Jones, Dylan & Labib, Ashraf & Willis, Kevin & Costello, Joseph T & Ouelhadj, Djamila & Ikonen, Emmi Susanna & Dominguez Cainzos, Mikel, 2023. "Multi-criteria mapping and prioritization of Arctic and North Atlantic maritime safety and security needs," European Journal of Operational Research, Elsevier, vol. 307(2), pages 827-841.

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