IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v215y2011i2p439-445.html
   My bibliography  Save this article

Multi-choice goal programming with utility functions

Author

Listed:
  • Chang, Ching-Ter

Abstract

Goal programming (GP) has been, and still is, the most widely used technique for solving multiple-criteria decision problems and multiple-objective decision problems by finding a set of satisfying solutions. However, the major limitation of goal programming is that can only use aspiration levels with scalar value for solving multiple objective problems. In order to solve this problem multi-choice goal programming (MCGP) was proposed by Chang (2007a). Following the idea of MCGP this study proposes a new concept of level achieving in the utility functions to replace the aspiration level with scalar value in classical GP and MCGP for multiple objective problems. According to this idea, it is possible to use the skill of MCGP with utility functions to solve multi-objective problems. The major contribution of using the utility functions of MCGP is that they can be used as measuring instruments to help decision makers make the best/appropriate policy corresponding to their goals with the highest level of utility achieved. In addition, the above properties can improve the practical utility of MCGP in solving more real-world decision/management problems.

Suggested Citation

  • Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:2:p:439-445
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711005704
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. LiCalzi, Marco & Sorato, Annamaria, 2006. "The Pearson system of utility functions," European Journal of Operational Research, Elsevier, vol. 172(2), pages 560-573, July.
    2. Yu, Bosco Wing-Tong & Pang, Wan Kai & Troutt, Marvin D. & Hou, Shui Hung, 2009. "Objective comparisons of the optimal portfolios corresponding to different utility functions," European Journal of Operational Research, Elsevier, vol. 199(2), pages 604-610, December.
    3. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    4. Rodriguez Uria, M. Victoria & Caballero, Rafael & Ruiz, Francisco & Romero, Carlos, 2002. "Meta-goal programming," European Journal of Operational Research, Elsevier, vol. 136(2), pages 422-429, January.
    5. Podinovski, Vladislav V., 2010. "Set choice problems with incomplete information about the preferences of the decision maker," European Journal of Operational Research, Elsevier, vol. 207(1), pages 371-379, November.
    6. Jones, D. F. & Tamiz, M., 1995. "Expanding the flexibility of goal programming via preference modelling techniques," Omega, Elsevier, vol. 23(1), pages 41-48, February.
    7. Chang, Ching-Ter & Lin, Teng-Chiao, 2009. "Interval goal programming for S-shaped penalty function," European Journal of Operational Research, Elsevier, vol. 199(1), pages 9-20, November.
    8. Dylan Jones & Mehrdad Tamiz, 2010. "Practical Goal Programming," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-5771-9, January.
    9. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    10. Romero, Carlos, 2004. "A general structure of achievement function for a goal programming model," European Journal of Operational Research, Elsevier, vol. 153(3), pages 675-686, March.
    11. Charnes, A. & Collomb, B., 1972. "Optimal economic stabilization policy: Linear goal-interval programming models," Socio-Economic Planning Sciences, Elsevier, vol. 6(4), pages 431-435, August.
    12. Jones, Dylan, 2011. "A practical weight sensitivity algorithm for goal and multiple objective programming," European Journal of Operational Research, Elsevier, vol. 213(1), pages 238-245, August.
    13. Arenas Parra, M. & Bilbao Terol, A. & Rodriguez Uria, M. V., 2001. "A fuzzy goal programming approach to portfolio selection," European Journal of Operational Research, Elsevier, vol. 133(2), pages 287-297, January.
    14. Chang, Ching-Ter, 2007. "Binary fuzzy goal programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 29-37, July.
    15. B Vitoriano & C Romero, 1999. "Extended interval goal programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(12), pages 1280-1283, December.
    16. Tamiz, Mehrdad & Jones, Dylan & Romero, Carlos, 1998. "Goal programming for decision making: An overview of the current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 111(3), pages 569-581, December.
    17. Vahid Lotfi & Yong. S. Yoon & Stanley Zionts, 1997. "Aspiration-Based Search Algorithm (ABSALG) for Multiple Objective Linear Programming Problems: Theory and Comparative Tests," Management Science, INFORMS, vol. 43(8), pages 1047-1059, August.
    18. Romero, Carlos, 2001. "Extended lexicographic goal programming: a unifying approach," Omega, Elsevier, vol. 29(1), pages 63-71, February.
    19. al-Nowaihi, Ali & Bradley, Ian & Dhami, Sanjit, 2008. "A note on the utility function under prospect theory," Economics Letters, Elsevier, vol. 99(2), pages 337-339, May.
    20. Ching-Ter Chang, 2006. "Mixed binary interval goal programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 469-473, April.
    21. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
    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. Gang Lin & Honglei Xu & Shaoli Wang & Conghua Lin & Chenyu Huang, 2022. "Performance Optimisation of Public Transport Networks Using AHP-Dependent Multi-Aspiration-Level Goal Programming," Energies, MDPI, vol. 15(17), pages 1-16, September.
    2. Ali Salmasnia & Amin Yazdekhasti, 2017. "A bi-objective model to optimize periodic preventive maintenance strategy during warranty period by considering customer satisfaction," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(4), pages 770-781, December.
    3. Shalabh Singh & Sonia Singh, 2022. "Shipment in a multi-choice environment: a case study of shipping carriers in US," 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. 30(4), pages 1195-1219, December.
    4. Hocine, Amin & Zhuang, Zheng-Yun & Kouaissah, Noureddine & Li, Der-Chiang, 2020. "Weighted-additive fuzzy multi-choice goal programming (WA-FMCGP) for supporting renewable energy site selection decisions," European Journal of Operational Research, Elsevier, vol. 285(2), pages 642-654.
    5. Yuanzhong Li & Xinbang Cao & Shaojian Qu & Ying Ji & Zilong Xia, 2022. "Cost Sharing in Insurance Communities: A Hybrid Approach Based on Multiple-Choice Objective Programming and Cooperative Games," Sustainability, MDPI, vol. 14(24), pages 1-18, December.
    6. Esin Balci & Sezin Balci & Aysun Sofuoglu, 2022. "Multi-purpose reverse logistics network design for medical waste management in a megacity: Istanbul, Turkey," Environment Systems and Decisions, Springer, vol. 42(3), pages 372-387, September.
    7. Gezen, Mesliha & Karaaslan, Abdulkerim, 2022. "Energy planning based on Vision-2023 of Turkey with a goal programming under fuzzy multi-objectives," Energy, Elsevier, vol. 261(PA).
    8. Gang Lin & Honglei Xu & Shaoli Wang & Conghua Lin & Fan Zhang & Junxiang Zhu, 2024. "Navigating Uncertainty: A Framework for Optimising Public Transport Networks’ Performance," Sustainability, MDPI, vol. 16(3), pages 1-24, February.
    9. Vandana Goyal & Namrata Rani & Deepak Gupta, 2022. "FGP approach to quadratically constrained multi-objective quadratic fractional programming with parametric functions," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 594-602, June.
    10. Hocine, Amin & Kouaissah, Noureddine & Lozza, Sergio Ortobelli & Aouam, Tarik, 2024. "Modelling De novo programming within Simon’s satisficing theory: Methods and application in designing an optimal offshore wind farm location system," European Journal of Operational Research, Elsevier, vol. 315(1), pages 289-306.
    11. Farshad Noravesh & Kristiaan Kerstens, 2022. "Some connections between higher moments portfolio optimization methods," Papers 2201.00205, arXiv.org.
    12. Zaiwu Gong & Chao Xu & Francisco Chiclana & Xiaoxia Xu, 2017. "Consensus Measure with Multi-stage Fluctuation Utility Based on China’s Urban Demolition Negotiation," Group Decision and Negotiation, Springer, vol. 26(2), pages 379-407, March.
    13. Giri, Binoy Krishna & Roy, Sankar Kumar, 2024. "Fuzzy-random robust flexible programming on sustainable closed-loop renewable energy supply chain," Applied Energy, Elsevier, vol. 363(C).
    14. Chang, Ching-Ter & Chung, Cheng-Kung & Sheu, Jiuh-Biing & Zhuang, Zheng-Yun & Chen, Huang-Mu, 2014. "The optimal dual-pricing policy of mall parking service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 223-243.
    15. Zheng, Xiao-Xue & Chang, Ching-Ter, 2021. "Topology design of remote patient monitoring system concerning qualitative and quantitative issues," Omega, Elsevier, vol. 98(C).
    16. Mondal, Arijit & Giri, Binoy Krishna & Roy, Sankar Kumar, 2023. "An integrated sustainable bio-fuel and bio-energy supply chain: A novel approach based on DEMATEL and fuzzy-random robust flexible programming with Me measure," Applied Energy, Elsevier, vol. 343(C).
    17. Mila Bravo & Dylan Jones & David Pla-Santamaria & Graham Wall, 2018. "Robustness of weighted goal programming models: an analytical measure and its application to offshore wind-farm site selection in United Kingdom," Annals of Operations Research, Springer, vol. 267(1), pages 65-79, August.
    18. Najafzad, Hamid & Davari-Ardakani, Hamed & Nemati-Lafmejani, Reza, 2019. "Multi-skill project scheduling problem under time-of-use electricity tariffs and shift differential payments," Energy, Elsevier, vol. 168(C), pages 619-636.

    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. Hocine, Amin & Kouaissah, Noureddine & Lozza, Sergio Ortobelli & Aouam, Tarik, 2024. "Modelling De novo programming within Simon’s satisficing theory: Methods and application in designing an optimal offshore wind farm location system," European Journal of Operational Research, Elsevier, vol. 315(1), pages 289-306.
    2. Bilbao-Terol, Amelia & Arenas-Parra, Mar & Cañal-Fernández, Verónica, 2016. "A model based on Copula Theory for sustainable and social responsible investments," Revista de Contabilidad - Spanish Accounting Review, Elsevier, vol. 19(1), pages 55-76.
    3. Tom Rihm & Philipp Baumann, 2018. "Staff assignment with lexicographically ordered acceptance levels," Journal of Scheduling, Springer, vol. 21(2), pages 167-189, April.
    4. Chang, Ching-Ter & Lin, Teng-Chiao, 2009. "Interval goal programming for S-shaped penalty function," European Journal of Operational Research, Elsevier, vol. 199(1), pages 9-20, November.
    5. Jones, D.F. & Treloar, R. & Ouelhadj, D. & Glampedakis, A. & Bartmeyer, P., 2024. "Incorporation of poverty principles into goal programming," Omega, Elsevier, vol. 127(C).
    6. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
    7. David Kik & Matthias Gerhard Wichmann & Thomas Stefan Spengler, 2022. "Decision support framework for the regional facility location and development planning problem," Journal of Business Economics, Springer, vol. 92(1), pages 115-157, January.
    8. Hocine, Amin & Zhuang, Zheng-Yun & Kouaissah, Noureddine & Li, Der-Chiang, 2020. "Weighted-additive fuzzy multi-choice goal programming (WA-FMCGP) for supporting renewable energy site selection decisions," European Journal of Operational Research, Elsevier, vol. 285(2), pages 642-654.
    9. Zheng, Xiao-Xue & Chang, Ching-Ter, 2021. "Topology design of remote patient monitoring system concerning qualitative and quantitative issues," Omega, Elsevier, vol. 98(C).
    10. Şeyda Gür & Tamer Eren, 2018. "Scheduling and Planning in Service Systems with Goal Programming: Literature Review," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
    11. Romero, Carlos, 2004. "A general structure of achievement function for a goal programming model," European Journal of Operational Research, Elsevier, vol. 153(3), pages 675-686, March.
    12. Jones, Dylan & Jimenez, Mariano, 2013. "Incorporating additional meta-objectives into the extended lexicographic goal programming framework," European Journal of Operational Research, Elsevier, vol. 227(2), pages 343-349.
    13. Hocine, Amine, 2018. "Meta goal programing approach for solving multi-criteria de Novo programing problemAuthor-Name: Zhuang, Zheng-Yun," European Journal of Operational Research, Elsevier, vol. 265(1), pages 228-238.
    14. Jones, Dylan, 2011. "A practical weight sensitivity algorithm for goal and multiple objective programming," European Journal of Operational Research, Elsevier, vol. 213(1), pages 238-245, August.
    15. Mardani Najafabadi, Mostafa & Magazzino, Cosimo & Valente, Donatella & Mirzaei, Abbas & Petrosillo, Irene, 2023. "A new interval meta-goal programming for sustainable planning of agricultural water-land use nexus," Ecological Modelling, Elsevier, vol. 484(C).
    16. Ching-Ter Chang, 2006. "Mixed binary interval goal programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 469-473, April.
    17. Zhuang, Zheng-Yun & Chung, Cheng-Kung, 2024. "Dissecting the visiting willingness of driving visitors facing a retail market's dual-pricing policy for parking," Journal of Retailing and Consumer Services, Elsevier, vol. 78(C).
    18. J Aznar & F Guijarro, 2007. "Modelling aesthetic variables in the valuation of paintings: an interval goal programming approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 957-963, July.
    19. Jones, Dylan & Florentino, Helenice & Cantane, Daniela & Oliveira, Rogerio, 2016. "An extended goal programming methodology for analysis of a network encompassing multiple objectives and stakeholders," European Journal of Operational Research, Elsevier, vol. 255(3), pages 845-855.
    20. Hamalainen, Raimo P. & Mantysaari, Juha, 2002. "Dynamic multi-objective heating optimization," European Journal of Operational Research, Elsevier, vol. 142(1), pages 1-15, October.

    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:215:y:2011:i:2:p:439-445. 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.