IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v238y2014i1p41-53.html
   My bibliography  Save this article

Robust optimization for interactive multiobjective programming with imprecise information applied to R&D project portfolio selection

Author

Listed:
  • Hassanzadeh, Farhad
  • Nemati, Hamid
  • Sun, Minghe

Abstract

A multiobjective binary integer programming model for R&D project portfolio selection with competing objectives is developed when problem coefficients in both objective functions and constraints are uncertain. Robust optimization is used in dealing with uncertainty while an interactive procedure is used in making tradeoffs among the multiple objectives. Robust nondominated solutions are generated by solving the linearized counterpart of the robust augmented weighted Tchebycheff programs. A decision maker’s most preferred solution is identified in the interactive robust weighted Tchebycheff procedure by progressively eliciting and incorporating the decision maker’s preference information into the solution process. An example is presented to illustrate the solution approach and performance. The developed approach can also be applied to general multiobjective mixed integer programming problems.

Suggested Citation

  • Hassanzadeh, Farhad & Nemati, Hamid & Sun, Minghe, 2014. "Robust optimization for interactive multiobjective programming with imprecise information applied to R&D project portfolio selection," European Journal of Operational Research, Elsevier, vol. 238(1), pages 41-53.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:1:p:41-53
    DOI: 10.1016/j.ejor.2014.03.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714002525
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2014.03.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sun, Minghe, 2005. "Some issues in measuring and reporting solution quality of interactive multiple objective programming procedures," European Journal of Operational Research, Elsevier, vol. 162(2), pages 468-483, April.
    2. Jian Hu & Sanjay Mehrotra, 2012. "Robust and Stochastically Weighted Multiobjective Optimization Models and Reformulations," Operations Research, INFORMS, vol. 60(4), pages 936-953, August.
    3. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    4. Ralph E. Steuer & Minghe Sun, 1995. "The Parameter Space Investigation Method of Multiple Objective Nonlinear Programming: A Computational Investigation," Operations Research, INFORMS, vol. 43(4), pages 641-648, August.
    5. Zopounidis, C & Despotis, D K & Kamaratou, I, 1998. "Portfolio Selection Using the ADELAIS Multiobjective Linear Programming System," Computational Economics, Springer;Society for Computational Economics, vol. 11(3), pages 189-204, June.
    6. Gabriel, Steven A. & Kumar, Satheesh & Ordonez, Javier & Nasserian, Amirali, 2006. "A multiobjective optimization model for project selection with probabilistic considerations," Socio-Economic Planning Sciences, Elsevier, vol. 40(4), pages 297-313, December.
    7. Rania Azmi & Mehrdad Tamiz, 2010. "A Review of Goal Programming for Portfolio Selection," Lecture Notes in Economics and Mathematical Systems, in: Dylan Jones & Mehrdad Tamiz & Jana Ries (ed.), New Developments in Multiple Objective and Goal Programming, pages 15-33, Springer.
    8. Klapka, Jindrich & Pinos, Petr, 2002. "Decision support system for multicriterial R&D and information systems projects selection," European Journal of Operational Research, Elsevier, vol. 140(2), pages 434-446, July.
    9. Liesiö, Juuso & Mild, Pekka & Salo, Ahti, 2008. "Robust portfolio modeling with incomplete cost information and project interdependencies," European Journal of Operational Research, Elsevier, vol. 190(3), pages 679-695, November.
    10. F Ghasemzadeh & N Archer & P Iyogun, 1999. "A zero-one model for project portfolio selection and scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 745-755, July.
    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. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    13. Medaglia, Andres L. & Graves, Samuel B. & Ringuest, Jeffrey L., 2007. "A multiobjective evolutionary approach for linearly constrained project selection under uncertainty," European Journal of Operational Research, Elsevier, vol. 179(3), pages 869-894, June.
    14. Schniederjans, Marc J. & Santhanam, Radhika, 1993. "A multi-objective constrained resource information system project selection method," European Journal of Operational Research, Elsevier, vol. 70(2), pages 244-253, October.
    15. Medaglia, Andres L. & Hueth, Darrell & Mendieta, Juan Carlos & Sefair, Jorge A., 2008. "A multiobjective model for the selection and timing of public enterprise projects," Socio-Economic Planning Sciences, Elsevier, vol. 42(1), pages 31-45, March.
    16. Abdelaziz, Fouad Ben & Aouni, Belaid & Fayedh, Rimeh El, 2007. "Multi-objective stochastic programming for portfolio selection," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1811-1823, March.
    17. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    18. 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.
    19. Shing, Chue & Nagasawa, Hiroyuki, 1999. "Interactive decision system in stochastic multiobjective portfolio selection," International Journal of Production Economics, Elsevier, vol. 60(1), pages 187-193, April.
    20. Karl Doerner & Walter Gutjahr & Richard Hartl & Christine Strauss & Christian Stummer, 2004. "Pareto Ant Colony Optimization: A Metaheuristic Approach to Multiobjective Portfolio Selection," Annals of Operations Research, Springer, vol. 131(1), pages 79-99, October.
    21. Ringuest, Jeffrey L. & Graves, Samuel B., 2000. "A sampling-based method for generating nondominated solutions in stochastic MOMP problems," European Journal of Operational Research, Elsevier, vol. 126(3), pages 651-661, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Javier G. Castro & Edison A. Tito & Luiz E. Brandão, 2021. "Optimization of a Portfolio of Investment Projects: A Real Options Approach Using the Omega Measure," JRFM, MDPI, vol. 14(11), pages 1-17, November.
    2. Panos Xidonas & Haris Doukas & George Mavrotas & Olena Pechak, 2016. "Environmental corporate responsibility for investments evaluation: an alternative multi-objective programming model," Annals of Operations Research, Springer, vol. 247(2), pages 395-413, December.
    3. Yao, Zhaosheng & Wang, Zhiyuan & Ran, Lun, 2023. "Smart charging and discharging of electric vehicles based on multi-objective robust optimization in smart cities," Applied Energy, Elsevier, vol. 343(C).
    4. Hassanzadeh, Farhad & Modarres, Mohammad & Nemati, Hamid R. & Amoako-Gyampah, Kwasi, 2014. "A robust R&D project portfolio optimization model for pharmaceutical contract research organizations," International Journal of Production Economics, Elsevier, vol. 158(C), pages 18-27.
    5. Mirian Bortoluzzi & Marcelo Furlan & Simone Geitenes Colombo & Tatiele Martins Amaral & Celso Correia de Souza & José Francisco dos Reis Neto & Josimar Fernandes de França, 2021. "Combining Value-Focused Thinking and PROMETHEE Techniques for Selecting a Portfolio of Distributed Energy Generation Projects in the Brazilian Electricity Sector," Sustainability, MDPI, vol. 13(19), pages 1-19, October.
    6. Crespi, Giovanni P. & Kuroiwa, Daishi & Rocca, Matteo, 2018. "Robust optimization: Sensitivity to uncertainty in scalar and vector cases, with applications," Operations Research Perspectives, Elsevier, vol. 5(C), pages 113-119.
    7. Bekiros, Stelios & Hernandez, Jose Arreola & Hammoudeh, Shawkat & Nguyen, Duc Khuong, 2015. "Multivariate dependence risk and portfolio optimization: An application to mining stock portfolios," Resources Policy, Elsevier, vol. 46(P2), pages 1-11.
    8. Mastorakis, Kostis & Siskos, Eleftherios, 2016. "Value focused pharmaceutical strategy determination with multicriteria decision analysis techniques," Omega, Elsevier, vol. 59(PA), pages 84-96.
    9. Vijaya Dixit & Manoj Kumar Tiwari, 2020. "Project portfolio selection and scheduling optimization based on risk measure: a conditional value at risk approach," Annals of Operations Research, Springer, vol. 285(1), pages 9-33, February.
    10. Schöbel, Anita & Zhou-Kangas, Yue, 2021. "The price of multiobjective robustness: Analyzing solution sets to uncertain multiobjective problems," European Journal of Operational Research, Elsevier, vol. 291(2), pages 782-793.
    11. Baker, Erin & Bosetti, Valentina & Salo, Ahti, 2020. "Robust portfolio decision analysis: An application to the energy research and development portfolio problem," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1107-1120.
    12. Fahime Lotfian Delouyi & Seyed Hassan Ghodsypour & Maryam Ashrafi, 2021. "Dynamic Portfolio Selection in Gas Transmission Projects Considering Sustainable Strategic Alignment and Project Interdependencies through Value Analysis," Sustainability, MDPI, vol. 13(10), pages 1-25, May.
    13. Wu, Yunna & Xu, Chuanbo & Ke, Yiming & Li, Xinying & Li, Lingwenying, 2019. "Portfolio selection of distributed energy generation projects considering uncertainty and project interaction under different enterprise strategic scenarios," Applied Energy, Elsevier, vol. 236(C), pages 444-464.
    14. Mavrotas, George & Makryvelios, Evangelos, 2021. "Combining multiple criteria analysis, mathematical programming and Monte Carlo simulation to tackle uncertainty in Research and Development project portfolio selection: A case study from Greece," European Journal of Operational Research, Elsevier, vol. 291(2), pages 794-806.
    15. Zhang, Xinwei & Yan, Yong & Wang, Lilin & Wang, Yang, 2024. "A ranking approach for robust portfolio decision analysis based on multilinear portfolio utility functions and incomplete preference information," Omega, Elsevier, vol. 122(C).
    16. Fliedner, Thomas & Liesiö, Juuso, 2016. "Adjustable robustness for multi-attribute project portfolio selection," European Journal of Operational Research, Elsevier, vol. 252(3), pages 931-946.
    17. Ran Etgar & Yuval Cohen, 2022. "Roadmap Optimization: Multi-Annual Project Portfolio Selection Method," Mathematics, MDPI, vol. 10(9), pages 1-23, May.
    18. Dalton Garcia Borges de Souza & Erivelton Antonio dos Santos & Nei Yoshihiro Soma & Carlos Eduardo Sanches da Silva, 2021. "MCDM-Based R&D Project Selection: A Systematic Literature Review," Sustainability, MDPI, vol. 13(21), pages 1-34, October.
    19. Theodor J. Stewart, 2016. "Multiple objective project portfolio selection based on reference points," Journal of Business Economics, Springer, vol. 86(1), pages 23-33, January.
    20. Yue Zhou-Kangas & Kaisa Miettinen, 2019. "Decision making in multiobjective optimization problems under uncertainty: balancing between robustness and quality," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 391-413, June.
    21. Ali Tlili & Oumaima Khaled & Vincent Mousseau & Wassila Ouerdane, 2023. "Interactive portfolio selection involving multicriteria sorting models," Annals of Operations Research, Springer, vol. 325(2), pages 1169-1195, June.
    22. Seunghoon Lee & Yongju Cho & Minjae Ko, 2020. "Robust Optimization Model for R&D Project Selection under Uncertainty in the Automobile Industry," Sustainability, MDPI, vol. 12(23), pages 1-15, December.
    23. Jicheng Liu & Qiongjie Dai, 2020. "Portfolio Optimization of Photovoltaic/Battery Energy Storage/Electric Vehicle Charging Stations with Sustainability Perspective Based on Cumulative Prospect Theory and MOPSO," Sustainability, MDPI, vol. 12(3), pages 1-20, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farhad Hassanzadeh & Hamid Nemati & Minghe Sun, 2013. "Robust Optimization for Interactive Multiobjective Programming with Imprecise Information Applied to R&D Project Portfolio Selection," Working Papers 0194mss, College of Business, University of Texas at San Antonio.
    2. Pérez, Fátima & Gómez, Trinidad & Caballero, Rafael & Liern, Vicente, 2018. "Project portfolio selection and planning with fuzzy constraints," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 117-129.
    3. Javier Panadero & Jana Doering & Renatas Kizys & Angel A. Juan & Angels Fito, 2020. "A variable neighborhood search simheuristic for project portfolio selection under uncertainty," Journal of Heuristics, Springer, vol. 26(3), pages 353-375, June.
    4. Fausto Balderas & Eduardo Fernandez & Claudia Gomez-Santillan & Nelson Rangel-Valdez & Laura Cruz, 2019. "An Interval-Based Approach for Evolutionary Multi-Objective Optimization of Project Portfolios," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1317-1358, July.
    5. Medaglia, Andres L. & Graves, Samuel B. & Ringuest, Jeffrey L., 2007. "A multiobjective evolutionary approach for linearly constrained project selection under uncertainty," European Journal of Operational Research, Elsevier, vol. 179(3), pages 869-894, June.
    6. Abdelaziz, Fouad Ben, 2012. "Solution approaches for the multiobjective stochastic programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 1-16.
    7. Panos Xidonas & Haris Doukas & George Mavrotas & Olena Pechak, 2016. "Environmental corporate responsibility for investments evaluation: an alternative multi-objective programming model," Annals of Operations Research, Springer, vol. 247(2), pages 395-413, December.
    8. Rafael Rodríguez & Mariano Luque & Mercedes González, 2011. "Portfolio selection in the Spanish stock market by interactive multiobjective programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 213-231, July.
    9. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    10. Mehdi Karimi & Somayeh Moazeni & Levent Tunçel, 2018. "A Utility Theory Based Interactive Approach to Robustness in Linear Optimization," Journal of Global Optimization, Springer, vol. 70(4), pages 811-842, April.
    11. Hassanzadeh, Farhad & Modarres, Mohammad & Nemati, Hamid R. & Amoako-Gyampah, Kwasi, 2014. "A robust R&D project portfolio optimization model for pharmaceutical contract research organizations," International Journal of Production Economics, Elsevier, vol. 158(C), pages 18-27.
    12. Mavrotas, George & Pechak, Olena & Siskos, Eleftherios & Doukas, Haris & Psarras, John, 2015. "Robustness analysis in Multi-Objective Mathematical Programming using Monte Carlo simulation," European Journal of Operational Research, Elsevier, vol. 240(1), pages 193-201.
    13. Fliedner, Thomas & Liesiö, Juuso, 2016. "Adjustable robustness for multi-attribute project portfolio selection," European Journal of Operational Research, Elsevier, vol. 252(3), pages 931-946.
    14. Wenqing Chen & Melvyn Sim & Jie Sun & Chung-Piaw Teo, 2010. "From CVaR to Uncertainty Set: Implications in Joint Chance-Constrained Optimization," Operations Research, INFORMS, vol. 58(2), pages 470-485, April.
    15. Stefan Mišković, 2017. "A VNS-LP algorithm for the robust dynamic maximal covering location problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(4), pages 1011-1033, October.
    16. Dimitris Bertsimas & Agni Orfanoudaki, 2021. "Algorithmic Insurance," Papers 2106.00839, arXiv.org, revised Dec 2022.
    17. Rafael Epstein & Andres Neely & Andres Weintraub & Fernando Valenzuela & Sergio Hurtado & Guillermo Gonzalez & Alex Beiza & Mauricio Naveas & Florencio Infante & Fernando Alarcon & Gustavo Angulo & Cr, 2012. "A Strategic Empty Container Logistics Optimization in a Major Shipping Company," Interfaces, INFORMS, vol. 42(1), pages 5-16, February.
    18. Antonio G. Martín & Manuel Díaz-Madroñero & Josefa Mula, 2020. "Master production schedule using robust optimization approaches in an automobile second-tier supplier," 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. 28(1), pages 143-166, March.
    19. Jian Xiong & Rui Wang & Jiang Jiang, 2019. "Weapon Selection and Planning Problems Using MOEA/D with Distance-Based Divided Neighborhoods," Complexity, Hindawi, vol. 2019, pages 1-18, November.
    20. Hamed Mamani & Shima Nassiri & Michael R. Wagner, 2017. "Closed-Form Solutions for Robust Inventory Management," Management Science, INFORMS, vol. 63(5), pages 1625-1643, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:238:y:2014:i:1:p:41-53. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.