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A trade-off multiobjective dynamic programming procedure and its application to project portfolio selection

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  • Maciej Nowak

    (University of Economics in Katowice)

  • Tadeusz Trzaskalik

    (University of Economics in Katowice)

Abstract

We consider a stochastic discrete multiobjective programming process with a finite number of stages. The number of states at each stage and the number of feasible decisions at each state are also finite. The aim of the paper is to propose a new interactive procedure for such a problem based on trade-off analysis. The procedure is illustrated with project portfolio selection. There are many organizations with moderately large portfolios of projects. Although the problem under discussion is not very large, it is difficult to solve, since projects are not implemented simultaneously. Moreover, the companies must take into account the risk that a particular project, which is planned to start in the future, may not be ready for implementation. We present an interactive trade-off procedure, based on the stochastic approach, as a new proposition to solve such a problem.

Suggested Citation

  • Maciej Nowak & Tadeusz Trzaskalik, 2022. "A trade-off multiobjective dynamic programming procedure and its application to project portfolio selection," Annals of Operations Research, Springer, vol. 311(2), pages 1155-1181, April.
    • Handle: RePEc:spr:annopr:v:311:y:2022:i:2:d:10.1007_s10479-020-03907-y
    DOI: 10.1007/s10479-020-03907-y
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    1. Trzaskalik, Tadeusz & Sitarz, Sebastian, 2007. "Discrete dynamic programming with outcomes in random variable structures," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1535-1548, March.
    2. Ana F. Carazo, 2015. "Multi-Criteria Project Portfolio Selection," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 709-728, Springer.
    3. A. M. Geoffrion & J. S. Dyer & A. Feinberg, 1972. "An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department," Management Science, INFORMS, vol. 19(4-Part-1), pages 357-368, December.
    4. Kaisa Miettinen & Jussi Hakanen & Dmitry Podkopaev, 2016. "Interactive Nonlinear Multiobjective Optimization Methods," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 927-976, Springer.
    5. Remer, Donald S. & Nieto, Armando P., 1995. "A compendium and comparison of 25 project evaluation techniques. Part 1: Net present value and rate of return methods," International Journal of Production Economics, Elsevier, vol. 42(1), pages 79-96, November.
    6. Nowak, Maciej, 2006. "INSDECM--an interactive procedure for stochastic multicriteria decision problems," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1413-1430, December.
    7. Maciej Nowak & Tadeusz Trzaskalik, 2013. "Interactive procedure for a multiobjective stochastic discrete dynamic problem," Journal of Global Optimization, Springer, vol. 57(2), pages 315-330, October.
    8. L. G. Mitten, 1964. "Composition Principles for Synthesis of Optimal Multistage Processes," Operations Research, INFORMS, vol. 12(4), pages 610-619, August.
    9. de Almeida, Jonatas Araujo & Costa, Ana Paula Cabral Seixas & de Almeida-Filho, Adiel Teixeira, 2016. "A new method for elicitation of criteria weights in additive models: Flexible and interactive tradeoffAuthor-Name: de Almeida, Adiel Teixeira," European Journal of Operational Research, Elsevier, vol. 250(1), pages 179-191.
    10. Wiesemann, Wolfram & Kuhn, Daniel & Rustem, Berç, 2010. "Maximizing the net present value of a project under uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 356-367, April.
    11. Lean Yu & Shouyang Wang & Fenghua Wen & Kin Lai, 2012. "Genetic algorithm-based multi-criteria project portfolio selection," Annals of Operations Research, Springer, vol. 197(1), pages 71-86, August.
    12. Yue Qi & Ralph E. Steuer & Maximilian Wimmer, 2017. "An analytical derivation of the efficient surface in portfolio selection with three criteria," Annals of Operations Research, Springer, vol. 251(1), pages 161-177, April.
    13. Petr Fiala, 2018. "Project portfolio designing using data envelopment analysis and De Novo optimisation," 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. 26(4), pages 847-859, December.
    14. Krzysztof S. Targiel & Maciej Nowak & Tadeusz Trzaskalik, 2018. "Scheduling non-critical activities using multicriteria approach," 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. 26(3), pages 585-598, September.
    15. Fouad Ben Abdelaziz & Cinzia Colapinto & Davide La Torre & Danilo Liuzzi, 2020. "A stochastic dynamic multiobjective model for sustainable decision making," Annals of Operations Research, Springer, vol. 293(2), pages 539-556, October.
    16. Wenhui Zhao & Nicholas G. Hall & Zhixin Liu, 2020. "Project Evaluation and Selection with Task Failures," Production and Operations Management, Production and Operations Management Society, vol. 29(2), pages 428-446, February.
    17. Nowak, Maciej, 2004. "Preference and veto thresholds in multicriteria analysis based on stochastic dominance," European Journal of Operational Research, Elsevier, vol. 158(2), pages 339-350, October.
    18. Feng Yang & Shiling Song & Wei Huang & Qiong Xia, 2015. "SMAA-PO: project portfolio optimization problems based on stochastic multicriteria acceptability analysis," Annals of Operations Research, Springer, vol. 233(1), pages 535-547, October.
    19. Darius Danesh & Michael J. Ryan & Alireza Abbasi, 2017. "A systematic comparison of multi-criteria decision making methods for the improvement of project portfolio management in complex organisations," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 16(3), pages 280-320.
    20. Podinovski, Victor V., 1999. "A DSS for multiple criteria decision analysis with imprecisely specified trade-offs," European Journal of Operational Research, Elsevier, vol. 113(2), pages 261-270, March.
    21. Hartikainen, Markus & Miettinen, Kaisa & Klamroth, Kathrin, 2019. "Interactive Nonconvex Pareto Navigator for multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 275(1), pages 238-251.
    22. Kathrin Klamroth & Margaret M. Wiecek, 2000. "Dynamic programming approaches to the multiple criteria knapsack problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 57-76, February.
    23. Kaliszewski, Ignacy & Michalowski, Wojtek, 1999. "Searching for psychologically stable solutions of multiple criteria decision problems," European Journal of Operational Research, Elsevier, vol. 118(3), pages 549-562, November.
    24. Kaisa Miettinen & Francisco Ruiz, 2016. "NAUTILUS framework: towards trade-off-free interaction in multiobjective optimization," Journal of Business Economics, Springer, vol. 86(1), pages 5-21, January.
    25. Sobel, Matthew J. & Szmerekovsky, Joseph G. & Tilson, Vera, 2009. "Scheduling projects with stochastic activity duration to maximize expected net present value," European Journal of Operational Research, Elsevier, vol. 198(3), pages 697-705, November.
    26. Miettinen, Kaisa & Eskelinen, Petri & Ruiz, Francisco & Luque, Mariano, 2010. "NAUTILUS method: An interactive technique in multiobjective optimization based on the nadir point," European Journal of Operational Research, Elsevier, vol. 206(2), pages 426-434, October.
    27. Nowak, Maciej, 2007. "Aspiration level approach in stochastic MCDM problems," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1626-1640, March.
    28. Ballestero, Enrique & Bravo, Mila & Pérez-Gladish, Blanca & Arenas-Parra, Mar & Plà-Santamaria, David, 2012. "Socially Responsible Investment: A multicriteria approach to portfolio selection combining ethical and financial objectives," European Journal of Operational Research, Elsevier, vol. 216(2), pages 487-494.
    29. Doerner, K.F. & Gutjahr, W.J. & Hartl, R.F. & Strauss, C. & Stummer, C., 2006. "Pareto ant colony optimization with ILP preprocessing in multiobjective project portfolio selection," European Journal of Operational Research, Elsevier, vol. 171(3), pages 830-841, June.
    30. Darius Danesh & Michael J. Ryan & Alireza Abbasi, 2018. "Multi-criteria decision-making methods for project portfolio management: a literature review," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 17(1), pages 75-94.
    31. Ana B. Ruiz & Francisco Ruiz & Kaisa Miettinen & Laura Delgado-Antequera & Vesa Ojalehto, 2019. "NAUTILUS Navigator: free search interactive multiobjective optimization without trading-off," Journal of Global Optimization, Springer, vol. 74(2), pages 213-231, June.
    32. Animesh Debnath & Jagannath Roy & Samarjit Kar & Edmundas Kazimieras Zavadskas & Jurgita Antucheviciene, 2017. "A Hybrid MCDM Approach for Strategic Project Portfolio Selection of Agro By-Products," Sustainability, MDPI, vol. 9(8), pages 1-33, July.
    33. Stanley Zionts & Jyrki Wallenius, 1983. "An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions," Management Science, INFORMS, vol. 29(5), pages 519-529, May.
    34. Remer, Donald S. & Nieto, Armando P., 1995. "A compendium and comparison of 25 project evaluation techniques. Part 2: Ratio, payback, and accounting methods," International Journal of Production Economics, Elsevier, vol. 42(2), pages 101-129, December.
    35. Ralph L. Keeney, 2002. "Common Mistakes in Making Value Trade-Offs," Operations Research, INFORMS, vol. 50(6), pages 935-945, December.
    36. Fan, Zhi-Ping & Liu, Yang & Feng, Bo, 2010. "A method for stochastic multiple criteria decision making based on pairwise comparisons of alternatives with random evaluations," European Journal of Operational Research, Elsevier, vol. 207(2), pages 906-915, December.
    37. Maciej Nowak & Tadeusz Trzaskalik, 2017. "Optimal and Near-Optimal Strategies in Discrete Stochastic Multiobjective Quasi-hierarchical Dynamic Problems," Operations Research Proceedings, in: Karl Franz Dörner & Ivana Ljubic & Georg Pflug & Gernot Tragler (ed.), Operations Research Proceedings 2015, pages 295-300, Springer.
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    1. M. Kandakoglu & G. Walther & S. Ben Amor, 2024. "The use of multi-criteria decision-making methods in project portfolio selection: a literature review and future research directions," Annals of Operations Research, Springer, vol. 332(1), pages 807-830, January.

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