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A Stochastic Approach to Goal Programming

Author

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  • Bruno Contini

    (Fondazione Luigi Einaudi, Torino, Italy)

Abstract

This paper deals with the problem of attaining a set of targets (goals) by means of a set of instruments (subgoals) when the relation between the two groups of variables can be expressed with a linear system of stochastic equations. The objective function consists of the maximization of the probability that a realization (in terms of target variables) will lie in a confidence region of predetermined size. Under suitable normality assumptions this problem is amenable to a quadratic programming formulation.

Suggested Citation

  • Bruno Contini, 1968. "A Stochastic Approach to Goal Programming," Operations Research, INFORMS, vol. 16(3), pages 576-586, June.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:576-586
    DOI: 10.1287/opre.16.3.576
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    Citations

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    Cited by:

    1. Abdelaziz, Fouad Ben, 2012. "Solution approaches for the multiobjective stochastic programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 1-16.
    2. Ahteshamul Haq & Umar Muhammad Modibbo & Aquil Ahmed & Irfan Ali, 2022. "Mathematical modeling of sustainable development goals of India agenda 2030: a Neutrosophic programming approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(10), pages 11991-12018, October.
    3. Raja Jayaraman & Cinzia Colapinto & Danilo Liuzzi & Davide Torre, 2017. "Planning sustainable development through a scenario-based stochastic goal programming model," Operational Research, Springer, vol. 17(3), pages 789-805, October.
    4. Zhongfeng Qin, 2018. "Uncertain random goal programming," Fuzzy Optimization and Decision Making, Springer, vol. 17(4), pages 375-386, December.
    5. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
    6. Jiafu Yin & Dongmei Zhao, 2018. "Fuzzy Stochastic Unit Commitment Model with Wind Power and Demand Response under Conditional Value-At-Risk Assessment," Energies, MDPI, vol. 11(2), pages 1-18, February.
    7. Ballestero, Enrique, 2001. "Stochastic goal programming: A mean-variance approach," European Journal of Operational Research, Elsevier, vol. 131(3), pages 476-481, June.
    8. Belaid AOUNI & Cinzia COLAPINTO & Davide LA TORRE, 2008. "Solving stochastic multi-objective programming through the GP model," Departmental Working Papers 2008-18, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    9. Irfan Ali & Umar Muhammad Modibbo & Jahangir Chauhan & Maryam Meraj, 2021. "An integrated multi-objective optimization modelling for sustainable development goals of India," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 3811-3831, March.
    10. Gianfranco Chicco & Andrea Mazza, 2020. "Metaheuristic Optimization of Power and Energy Systems: Underlying Principles and Main Issues of the ‘Rush to Heuristics’," Energies, MDPI, vol. 13(19), pages 1-38, September.
    11. Alireza Azimian & Belaid Aouni, 2017. "Supply chain management through the stochastic goal programming model," Annals of Operations Research, Springer, vol. 251(1), pages 351-365, April.
    12. Psarros, Georgios N. & Papathanassiou, Stavros A., 2023. "Generation scheduling in island systems with variable renewable energy sources: A literature review," Renewable Energy, Elsevier, vol. 205(C), pages 1105-1124.
    13. Muñoz, María M. & Abdelaziz, Fouad Ben, 2012. "Satisfactory solution concepts and their relations for Stochastic Multiobjective Programming problems," European Journal of Operational Research, Elsevier, vol. 220(2), pages 430-442.
    14. Ramanathan, R., 1997. "Stochastic decision making using multiplicative AHP," European Journal of Operational Research, Elsevier, vol. 97(3), pages 543-549, March.
    15. Masri, Hatem & Abdulla, Yomna, 2018. "A multiple objective stochastic programming model for working capital management," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 141-146.
    16. Bhattacharya, U.K., 2009. "A chance constraints goal programming model for the advertising planning problem," European Journal of Operational Research, Elsevier, vol. 192(2), pages 382-395, January.
    17. Álvarez-Miranda, Eduardo & Garcia-Gonzalo, Jordi & Pais, Cristobal & Weintraub, Andrés, 2019. "A multicriteria stochastic optimization framework for sustainable forest decision making under uncertainty," Forest Policy and Economics, Elsevier, vol. 103(C), pages 112-122.

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