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Advances and New Orientations in Goal Programming

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New Perspectives in Multiple Criteria Decision Making

Part of the book series: Multiple Criteria Decision Making ((MCDM))

Abstract

This chapter starts by providing a categorization of current goal programming literature by type of variant used. Subsequently, goal programming is presented as a secondary model of a general p-metric distance function primary model. This orientation allows us to link goal programming with several fields like the determination of social choice functions or the interpretation and implementation of the Simonian concepts of bounded rationality and “satisficing”. To undertake the latter task, this epistemic framework is understood as a Laudian “Research Tradition” instead of the usual understanding as a scientific theory. Finally, potential future developments to expand the use and flexibility of goal programming as well as to explore possible logical connections of goal programming with other decision-making areas are highlighted.

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Notes

  1. 1.

    For the epistemological issues underlying the concepts of primary and secondary models and their respective links and problems of logic reductions see Nagel (1961), chapter 11 and especially pages 336–354.

  2. 2.

    The pioneers of linking the Simonian satisficing philosophy with goal programming are Lee (1972) and Ignizio (1976). An attempt of axiomatization of this interpretation of bounded rationality and satisficing, can be seen in González-Pachón and Romero (2004)

  3. 3.

    The reason for the incompatibility between lexicographic orderings and utility functions is the non-continuity of preferences inherent to a lexicographic structure of preferences. Albeit, the continuity of preferences is neither a fact nor a hypothesis corroborated by empirical evidence but just a non-falsifiable assumption necessary to axiomatize the neoclassical consumption theory (see e.g., Deaton and Muellbauer 1986, p. 27).

  4. 4.

    Expression (16) represents in mathematical terms the “Second Principle of Justice” proposed by Rawls (1971, pp. 65–75).

References

  • André, F. J., Cardenete, M. A., & Romero, C. (2010). Designing public policies-an approach based on multi-criteria analysis and computable general equilibrium modeling. Heidelberg: Springer.

    Google Scholar 

  • Audet, C., Carrizosa, E., & Hansen, P. (2004). An exact method for fractional goal programming. Journal of Global Optimization, 29, 113–120.

    Article  Google Scholar 

  • Bankian-Tabrizi, B., Shahanaghi, K., & Jabalameli, M. S. (2012). Fuzzy multi-choice goal programming. Applied Mathematical Modelling, 36, 1415–1420.

    Article  Google Scholar 

  • Bentham, J. (1948). An introduction to the principles of morals and legislation. Oxford: Blackwell (original work published in 1789).

    Google Scholar 

  • Chang, C. T. (2007). Multi-choice goal programming. Omega-International Journal of Management Science, 35, 389–396.

    Article  Google Scholar 

  • Chang, C. T. (2008). Revised multi-choice goal programming. Applied Mathematical Modelling, 32, 2587–2595.

    Article  Google Scholar 

  • Charnes, A., & Collomb, B. (1972). Optimal economic stabilization policy: Linear goal-interval programming models. Socio-Economic Planning Sciences, 6, 431–435.

    Article  Google Scholar 

  • Charnes, A., & Cooper, W. W. (1961). Management models and industrial applications of linear programming. New York: Wiley.

    Google Scholar 

  • Charnes, A., & Cooper, W. W. (1977). Goal programming and multiple objective optimization-Part I. European Journal of Operational Research, 1, 39–54.

    Article  Google Scholar 

  • Charnes, A., Cooper, W. W., & Ferguson, R. O. (1955). Optimal estimation of executive compensation by linear programming. Management Science, 1, 138–151.

    Google Scholar 

  • Charnes, A., Cooper, W. W., Harrald, J., Karwan, K., & Wallace, W. (1976). A goal interval programming model for resource allocation in a marine environmental protection problem. Journal of Environmental Economics and Management, 3, 347–362.

    Article  Google Scholar 

  • Choobineh, M., & Mohagheghi, S. (2016). A multi-objective optimization framework for energy and asset management in an industrial microgrid. Journal of Cleaner Production, 139, 1326–1338.

    Article  Google Scholar 

  • Deaton, A., & Muellbauer, J. (1986). Economics and consumer behavior. Cambridge: Cambridge University Press.

    Google Scholar 

  • Debreu, G. (1959). Theory of value-an axiomatic analysis of economic equilibrium. New York: Wiley.

    Google Scholar 

  • Flavell, R. B. (1976). A new goal programming formulation. Omega-International Journal of Management Science, 4, 731–732.

    Article  Google Scholar 

  • Gigerenzer, G. (2001). The adaptive toolbox. In G. Gigerenzer & R. Selten (Eds.), Bounded rationality-the adaptive toolbox (pp. 37–50). Cambridge, Massachusetts: The MIT Press.

    Google Scholar 

  • Gigerenzer, G., & Selten, R. (Eds.). (2001). Bounded rationality-the adaptive toolbox. Cambridge, Massachusetts: The MIT Press.

    Google Scholar 

  • González-Pachón, J., & Romero, C. (1999). Distance-based consensus methods: A goal programming approach. Omega-International Journal of Management Science, 27, 341–347.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2004). Satisficing logic and goal programming: Towards an axiomatic link. INFOR-Canadian Journal of Operational Research, 42, 157–161.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2006). An analytical framework for aggregating mutiattribute utiliy functions. Journal of the Operational Research Society, 57, 1241–1247.

    Google Scholar 

  • González-Pachón, J., & Romero, C. (2007). Inferring consensus weights from pairwise comparison matrices. Annals of Operations Research, 154, 123–132.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2009). Aggregation of ordinal and cardinal preferences: A framework based on distance functions. Journal of Multi-Criteria Decision Analysis, 15, 79–85.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2011). The design of socially optimal decisions in a consensus scenario. Omega-International Journal of Management Science, 39, 179–185.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2016). Bentham, marx and rawls ethical principles: In search for a compromise. Omega-International Journal of Management Science, 62, 47–51.

    Article  Google Scholar 

  • Hannan, E. L. (1981). On fuzzy goal programming. Decision Sciences, 12, 522–531.

    Article  Google Scholar 

  • Ignizio, J. P. (1976). Goal programming and extensions. Massachusetts: Lexington Books.

    Google Scholar 

  • Ignizio, J. P., & Perlis, J. H. (1979). Sequential linear goal programming. Computers & Operations Research, 6, 141–145.

    Article  Google Scholar 

  • Jones, D. F., Ouelhadj, D., & Glampedakis, A. (2017). Incorporation of poverty principles into goal programming. In: Paper Presented at the XII International Conference on Multiobjective and Goal Programming (MOPGP17), Metz, France (2017).

    Google Scholar 

  • Jones, D. F., & Tamiz, M. (1995). Expanding the flexibility of goal programming via preference modeling techniques. Omega-International Journal of Management Science, 23, 41–48.

    Article  Google Scholar 

  • Jones, D. F., & Tamiz, M. (2010). Practical goal programming. New York: Springer.

    Book  Google Scholar 

  • Laudan, L. (1977). Progress and its problems-towards a theory of scientific growth. Berkeley: University of California Press.

    Google Scholar 

  • Lee, S. M. (1972). Goal programming for decision analysis. Philadelphia: Auerbach.

    Google Scholar 

  • Masri, H. (2017). A multiple stochastic goal programming approach for the agent portfolio selection problem. Annals of Operations Research, 251, 179–192.

    Article  Google Scholar 

  • Nagel, E. (1961). The structure of science-problems in the logic of scientific explanation. London: Routledge & Kegan Paul.

    Google Scholar 

  • Narasimhan, R. (1980). Goal programming in a fuzzy environment. Decision Sciences, 11, 325–336.

    Article  Google Scholar 

  • Rawls, J. (1971). A theory of justice. Oxford: Oxford University Press.

    Google Scholar 

  • Rodríguez-Uría, M. V., Caballero, R., Ruiz, F., & Romero, C. (2002). Meta-goal programming. European Journal of Operational Research, 136, 422–429.

    Article  Google Scholar 

  • Romero, C. (1991). Handbook of critical issues in goal programming. Oxford: Pergamon Press.

    Google Scholar 

  • Romero, C. (2001). Extended lexicographic goal programming: A unifying approach. Omega-International Journal of Management Science, 29, 63–71.

    Article  Google Scholar 

  • Romero, C. (2004). A general structure of achievement function for a goal programming model. European Journal of Operational Research, 153, 675–686.

    Article  Google Scholar 

  • Romero, C., Tamiz, M., & Jones, D. F. (1998). Goal programming, compromise programming and reference point method formulations: Linkages and utility interpretations. Journal of the Operational Research Society, 49, 986–991.

    Article  Google Scholar 

  • Rubinstein, A. (1998). Modeling bounded rationality. Cambridge, Massachusetts: The MIT Press.

    Google Scholar 

  • Sargent, T. (1993). Bounded rationality in macroeconomics. Oxford: Clarendon.

    Google Scholar 

  • Simon, H. A. (1955). A behavioral model of rational choice. Quarterly Journal of Economics, 69, 99–118.

    Article  Google Scholar 

  • Simon, H. A. (1956). Rational choice and the structure of the environment. Psychological Review, 63, 129–138.

    Article  Google Scholar 

  • Simon, H. A. (1979). Rational decision making in business organizations. American Economic Review, 69, 99–118.

    Google Scholar 

  • Tamiz, M., Jones, D. F., & Romero, C. (1998). Goal programming for decision making: An overview of the current state-of-the-art. European Journal of Operational Research, 111, 569–581.

    Article  Google Scholar 

  • Tamiz, M., Mirrazavi, S. K., & Jones, D. F. (1999). Extensions of Pareto efficiency analysis to integer goal programming. Omega-International Journal of Management Science, 27, 179–188.

    Article  Google Scholar 

  • Yu, P. L. (1973). A class of solutions for group decision problems. Management Science, 19, 936–946.

    Article  Google Scholar 

  • Yu, P. L. (1985). Multiple criteria decision making: Concepts, techniques and extensions. New York: Plenum Press.

    Google Scholar 

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Acknowledgements

The authors would like to thanks Drs. Diaz-Balteiro, González-Pachón and Tamiz and Aouni, for their intelligent reflections and continuous discussions on goal programming over many years.

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Authors and Affiliations

  1. Department of Mathematics, Centre of Operational Research and Logistics (CORL), University of Portsmouth, Portsmouth, PO1 3HF, UK

    Dylan Jones

  2. Group of Economics for a Sustainable Environment (ECSEN), Technical University of Madrid, 28040, Madrid, Spain

    Carlos Romero

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Correspondence to Dylan Jones .

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Editors and Affiliations

  1. School of Production Engineering and Management, Technical University of Crete, Chania, Greece

    Michalis Doumpos

  2. CEG-IST, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    José Rui Figueira

  3. Department of Economics and Business, University of Catania, Catania, Italy

    Salvatore Greco

  4. School of Production Engineering and Management, Technical University of Crete, Chania, Greece

    Constantin Zopounidis

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Jones, D., Romero, C. (2019). Advances and New Orientations in Goal Programming. In: Doumpos, M., Figueira, J., Greco, S., Zopounidis, C. (eds) New Perspectives in Multiple Criteria Decision Making. Multiple Criteria Decision Making. Springer, Cham. https://doi.org/10.1007/978-3-030-11482-4_8

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