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Goal Programming: From Constrained Regression to Bounded Rationality Theories

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Handbook of Multicriteria Analysis

Part of the book series: Applied Optimization ((APOP,volume 103))

Abstract

The purpose of the paper is to provide a critical overview of the decisionmaking approach known as Goal Programming (GP). The paper starts by tracing the origins of GP back to work by Charnes and Cooper at the end of the 1950s in fields like non-parametric regression, and the analysis of contradictions in non-solvable linear programming problems. After chronicling its evolution from its original form into a powerful decision-making method, the GP approach is linked with the Simonian bounded rationality theories based upon the ‘satisficing’ concept. In this way, several GP models are presented as fruitful vehicles for implementing this kind of ‘satisficing’ philosophy. The last part of the paper presents some critical issues and extensions of the GP approach. The chapter ends by discussing potential extensions, as well as GP’s role for solving complex real-world problems in the near future.

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References

  1. F. Amador and C. Romero. Redundancy in lexicographic goal programming: An empirical approach. European Journal of Operational Research, 41:347–354, 1989.

    Article  Google Scholar 

  2. B. Aouni, F. Ben Abdelaziz, and J.-M. Martel. Decision-maker’s preference modeling in the stochastic goal programming. European Journal of Operational Research, 162:610–618, 2005.

    Article  Google Scholar 

  3. B. Aouni and O. Kettani. Goal programming model: A glorious history and a promising future. European Journal of Operational Research, 133:225–231, 2001.

    Article  Google Scholar 

  4. M. Arenas Parra, A. Bilbao Terol, and M.V. Rodr´ıguez Ur´ıa. A fuzzy goal programming approach to portfolio selection. European Journal of Operational Research, 133:287–297, 2001.

    Google Scholar 

  5. E. Ballestero. Stochastic goal programming: A mean-variance approach. European Journal of Operational Research, 131:476–481, 2001.

    Article  Google Scholar 

  6. A. Bilbao Terol. A new approach for multiobjective decision making based on fuzzy distance minimization. Mathematical and Computer Modelling, 47:808–826, 2008.

    Article  Google Scholar 

  7. R. Caballero, T. G´omez, and F. Ruiz. Goal programming: Realistic targets for the near future. In V International Conference on Multiobjective and Goal Programming (MOPGP06), Toulouse, France, June 2006.

    Google Scholar 

  8. R. Caballero, L. Rey, and F. Ruiz. Determination of satisfying and efficient solutions in convex multi-objective programming. Optimization, 37:125–137, 1996.

    Article  Google Scholar 

  9. R. Caballero, L. Rey, and F. Ruiz. Lexicographic improvement of the target values in convex goal programming. European Journal of Operational Research, 107:644–655, 1998.

    Article  Google Scholar 

  10. R. Caballero, F. Ruiz, M. Victoria Rodr´ıguez Ur´ıa, and C. Romero. Interactive meta-goal programming. European Journal of Operational Research, 175:135–154, 2006.

    Google Scholar 

  11. E. Carrizosa and D. Romero-Morales. Combinig minsum and minmax: A goal programming approach. Operations Research, 49:169–174, 2001.

    Article  Google Scholar 

  12. C.-T. Chang. Mixed binary interval goal programming. Journal of the Operational Research Society, 57:469–473, 2006.

    Article  Google Scholar 

  13. C.-T. Chang. Efficient structures of achievement functions for goal programming models. Asia-Pacific Journal of Operational Research, 24:755–764, 2007.

    Article  Google Scholar 

  14. C.-T. Chang. Multi-choice goal programming. Omega, 35:389–396, 2007.

    Google Scholar 

  15. C.-T. Chang. Revised multi-choice goal programming. Applied Mathematical Modelling, 32:2587–2596, 2008.

    Article  Google Scholar 

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

    Article  Google Scholar 

  17. A. Charnes and W.W. Cooper. Management Models and Industrial Applications of Linear Programming. John Wiley and Sons, New York, 1961.

    Google Scholar 

  18. A. Charnes, W.W. Cooper, J.K. Devoe, D.B. Learner, and W. Reinecke. A goal programming model for media planning. Management Science, 14:423–430, 1968.

    Google Scholar 

  19. A. Charnes, W.W. Cooper, and R. Ferguson. Optimal estimation of executive compensation by linear programming. Management Science, 1:138–151, 1955.

    Article  Google Scholar 

  20. A. Charnes, W.W. Cooper, and Y. Ijiri. Breakeven budgeting and programming to goals. Journal of Accounting Research, 1:16–43, 1963.

    Article  Google Scholar 

  21. A. Charnes, W.W. Cooper, and E. Rhodes. Measuring the efficiency of decision making units. European Journal of Operational Research, 2:429–444, 1978.

    Article  Google Scholar 

  22. W.W. Cooper. Origins, uses of, and relations between goal programming and data envelopment analysis. Journal of Multi-Criteria Decision Analysis, 13:3–11, 2005.

    Article  Google Scholar 

  23. R.B. Flavell. A new goal programming formulation. Omega, 4:731–732, 1976.

    Google Scholar 

  24. S.I. Gass. A process for determining priority weights for large-scale linear goal programmes. Journal of the Operational Research Society, 37:779–785, 1986.

    Google Scholar 

  25. J. Gonz´alez-Pach´on and C. Romero. Distance-based consensus methods: A goal programming approach. Omega, 27:341–347, 1999.

    Google Scholar 

  26. J. Gonz´alez-Pach´on and C. Romero. Aggregation of partial ordinal rankings: an interval goal programming approach. Computers and Operations Research, 28:827–834, 2001.

    Google Scholar 

  27. J. Gonz´alez-Pach´on and C. Romero. Satisficing logic and goal programming: Towards an axiomatic link. INFOR, 42:157–161, 2004.

    Google Scholar 

  28. J. Gonz´alez-Pach´on and C. Romero. An analytical framework for aggregating multiattribute utility functions. Journal of the Operational Research Society, 57:1241–1247, 2006.

    Google Scholar 

  29. J. Gonz´alez-Pach´on and C. Romero. Inferring consensus weights from pairwise comparison matrices without suitable properties. Annals of Operations Research, 154:123–132, 2007.

    Google Scholar 

  30. J. Gross and J. Talavage. A multiple-objective planning methodology for information service managers. Information Processing and Management, 15:155–167, 1979.

    Article  Google Scholar 

  31. E.L. Hannan. Nondominance in goal programming. INFOR, 18:300–309, 1980.

    Google Scholar 

  32. J.P. Ignizio. S-II trajectory study and optimum antenna placement. Report SID-63, North American Aviation Corporation, Downwy, CA, 1963.

    Google Scholar 

  33. J.P. Ignizio. Goal Programming and Extensions. Lexington Books, Massachusetts, 1976.

    Google Scholar 

  34. J.P. Ignizio. A review of goal programming: A tool for multiobjective analysis. Journal of the Operational Research Society, 27:1109–1119, 1978.

    Google Scholar 

  35. J.P. Ignizio. Multiobjective mathematical programming via the MULTIPLEX model and algorithm. European Journal of Operational Research, 22:338–346, 1985.

    Article  Google Scholar 

  36. J.P. Ignizio. Illusions of optimality. Engineering Optimization, 31:749–761, 1999.

    Article  Google Scholar 

  37. J.P. Ignizio and J.H. Perlis. Sequential linear goal programming. Computers and Operations Research, 6:141–145, 1979.

    Article  Google Scholar 

  38. J.P. Ignizio and C. Romero. Goal programming. In H. Bidgoli, editor, Encyclopedia of Information Systems, volume 2, pages 489–500. Academic Press, San Diego, CA, 2003.

    Google Scholar 

  39. Y. Ijiri. Management Goals and Accounting for Control. North-Holland, Amsterdam, 1965.

    Google Scholar 

  40. V. J¨a¨askel¨ainen. A goal programming model of aggregate production. Swedish Journal of Economics, 6:14–19, 1969.

    Google Scholar 

  41. D.F. Jones, S.K. Mirrazavi, and M. Tamiz. Multi-objective meta-heuristics: An overview of the current-state-of-the art. European Journal of Operational Research, 137:1–9, 2002.

    Article  Google Scholar 

  42. D.F. Jones and M. Tamiz. Expanding the flexibility of goal programming via preference modelling techniques. Omega, 23:41–48, 1995.

    Article  Google Scholar 

  43. D.F. Jones and M. Tamiz. Goal programming in the period 1990–2000. In M. Ehrgott and X. Gandibleux, editors, Multicriteria Optimization: State of the Art Annotated Bibliographic Survey, volume 2, pages 129–170. Kluwer Academic Publishers, Boston, 2002.

    Google Scholar 

  44. O. Kettani, B. Aouni, and J.-M. Martel. The double role of the weight factor in the goal programming model. European Journal of Operational Research, 31:1833–1845, 2004.

    Google Scholar 

  45. P. Lara and C. Romero. Interactive multigoal programming model for determining livestock rations: An application to dairy cows in Andalusia, Spain. Journal of the Operational Research Society, 43:945–953, 1992.

    Google Scholar 

  46. S.M. Lee. Goal Programming for Decision Analysis. Auerbach, Philadelphia, 1972.

    Google Scholar 

  47. S.M. Lee and D. Olson. Goal programming. In T. Gal, T.J. Stewart, and T. Hanne, editors, Multicriteria Decision Making: Advances in MCDM Models, Algorithms, Theory, and Applications, volume 2, pages 1–33. Kluwer Academic Publishers, Boston, 1999.

    Google Scholar 

  48. H.L. Li. An efficient method for solving linear goal programming problems. Journal of Optimization Theory and Applications, 90:465–469, 1996.

    Article  Google Scholar 

  49. B.D. Liu. Dependent chance goal programming and its genetic algorithm-based approach. Mathematical and Computer Modelling, 24:43–52, 1996.

    Article  Google Scholar 

  50. A.S. Masud and C.L. Hwang. Interactive sequential goal programming. Journal of the Operational Research Society, 32:391–400, 1981.

    Google Scholar 

  51. T. Rehman and C. Romero. Formulating generalised “goal games” against nature: An illustration from decision-making under uncertainty in agriculture. Applied Mathematics and Computation, 175:486–496, 2006.

    Article  Google Scholar 

  52. M.V. Rodr´ıguez Ur´ıa, R. Caballero, F. Ruiz, and C. Romero. Meta-goal programming. European Journal of Operational Research, 136:422–429, 2002.

    Google Scholar 

  53. C. Romero. A survey of generalized goal programming (1970–1982). European Journal of Operational Research, 25:183–191, 1986.

    Article  Google Scholar 

  54. C. Romero. Handbook of Critical Issues in Goal Programming. Pergamon Press, Oxford, 1991.

    Google Scholar 

  55. C. Romero. Extended lexicographic goal programming: A unifying approach. Omega, 21:63– 71, 2001.

    Article  Google Scholar 

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

    Article  Google Scholar 

  57. T.L. Saaty. The Analytic Hierarchy Process. McGraw-Hill, New York, 1980.

    Google Scholar 

  58. M.J. Schniederjans. Goal Programming Methodology and Applications. Kluwer Academic Publishers, Boston, 1995.

    Google Scholar 

  59. H.A. Simon. A behavioural model of rational choice. Quarterly Journal of Economics, 69:99– 118, 1955.

    Article  Google Scholar 

  60. H.A. Simon. Rational choice and the structure of the environment. Psychological Review, 63:129–138, 1956.

    Article  Google Scholar 

  61. J. Spronk. Interactive Multiple Goal Programming. Martinus Nijhoff, The Hague, 1981.

    Google Scholar 

  62. M. Tamiz and D.F. Jones. Goal programming and Pareto efficiency. Journal of Information and Optimization Sciences, 17:291–307, 1996.

    Google Scholar 

  63. M. Tamiz, D.F. Jones, and E. El-Darzi. A review of goal programming and its applications. Annals of Operations Research, 58:39–53, 1995.

    Article  Google Scholar 

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

    Article  Google Scholar 

  65. M. Tamiz, S.K. Mirrazavi, and D.F. Jones. Extensions of Pareto efficiency analysis to integer goal programming. Omega, 27:179–188, 1999.

    Article  Google Scholar 

  66. B. Vitoriano and C. Romero. Extended interval goal programming. Journal of the Operational Research Society, 50:1280–1283, 1999.

    Google Scholar 

  67. S.H. Zanakis and S.K. Gupta. A categorized bibliographic survey of goal programming. Omega, 13:211–222, 1985.

    Article  Google Scholar 

  68. H.J. Zimmerman. Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1:45–55, 1978.

    Article  Google Scholar 

  69. S. Zionts and J. Wallenius. An interactive multiple objective linear programming method for a class of underlying nonlinear utility functions. Management Science, 29:519–529, 1976.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Universidad Politecnica de Madrid, Madrid, Spain

    Jacinto González-Pachón & Carlos Romero

Authors
  1. Jacinto González-Pachón
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  2. Carlos Romero
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Corresponding author

Correspondence to Jacinto González-Pachón .

Editor information

Editors and Affiliations

  1. Dept. Production Engineering, and Management, Technical University of Crete, University Campus, Chania, 731 00, Greece

    Constantin Zopounidis

  2. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, USA

    Panos M. Pardalos

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González-Pachón, J., Romero, C. (2010). Goal Programming: From Constrained Regression to Bounded Rationality Theories. In: Zopounidis, C., Pardalos, P. (eds) Handbook of Multicriteria Analysis. Applied Optimization, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92828-7_11

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