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A fuzzy multidimensional multiple-choice knapsack model for project portfolio selection using an evolutionary algorithm

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Abstract

Project portfolio selection problems are inherently complex problems with multiple and often conflicting objectives. Numerous analytical techniques ranging from simple weighted scoring to complex mathematical programming approaches have been proposed to solve these problems with precise data. However, the project data in real-world problems are often imprecise or ambiguous. We propose a fuzzy Multidimensional Multiple-choice Knapsack Problem (MMKP) formulation for project portfolio selection. The proposed model is composed of an Efficient Epsilon-Constraint (EEC) method and a customized multi-objective evolutionary algorithm. A Data Envelopment Analysis (DEA) model is used to prune the generated solutions into a limited and manageable set of implementable alternatives. Statistical analysis is performed to investigate the effectiveness of the proposed approach in comparison with the competing methods in the literature. A case study is presented to demonstrate the applicability of the proposed model and exhibit the efficacy of the procedures and algorithms. Copyright Springer Science+Business Media New York 2013

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  • Madjid Tavana & Kaveh Khalili-Damghani & Amir-Reza Abtahi, 2013. "A fuzzy multidimensional multiple-choice knapsack model for project portfolio selection using an evolutionary algorithm," Annals of Operations Research, Springer, vol. 206(1), pages 449-483, July.
    • Handle: RePEc:spr:annopr:v:206:y:2013:i:1:p:449-483:10.1007/s10479-013-1387-3
    DOI: 10.1007/s10479-013-1387-3
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    2. Navid Zarbakhshnia & Devika Kannan & Reza Kiani Mavi & Hamed Soleimani, 2020. "A novel sustainable multi-objective optimization model for forward and reverse logistics system under demand uncertainty," Annals of Operations Research, Springer, vol. 295(2), pages 843-880, December.
    3. Barbati, Maria & Greco, Salvatore & Kadziński, Miłosz & Słowiński, Roman, 2018. "Optimization of multiple satisfaction levels in portfolio decision analysis," Omega, Elsevier, vol. 78(C), pages 192-204.
    4. A. Mohammed, 2020. "Towards a sustainable assessment of suppliers: an integrated fuzzy TOPSIS-possibilistic multi-objective approach," Annals of Operations Research, Springer, vol. 293(2), pages 639-668, October.

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