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Goal Geometric Programming

  • Sahidul IslamEmail author
  • Wasim Akram Mandal
Chapter
Part of the Forum for Interdisciplinary Mathematics book series (FFIM)

Abstract

Goal programming (GP) is one of the vital branches of multi-objective optimization, which thusly is a part of multi-criteria decision analysis (MCDA). Goal programming (GP) is one of the best optimization techniques. It may be very well thought of as an expansion of linear programming or nonlinear programming to deal with various, typically clashing objective measures. Every one of these measures is given an (goal) esteem to be achieved. Unwanted deviations from this set of target esteems are then minimized in an achievement work.

References

  1. N. Bryson, A goal programming method for generating priority vectors. J. Oper. Res. Soc. 46, 641–648 (1995)CrossRefGoogle Scholar
  2. A. Charnes, W.W. Cooper, R. Ferguson, Optimal estimation of executive compensation by linear programming. Manage. Sci. 1, 138–151 (1955)MathSciNetCrossRefGoogle Scholar
  3. A. Charnes, W.W. Cooper. Goal programming and multiple objective optimization. Eur. J. Oper. Res, 1, 39–71 (1977). http://dx.doi.org/10.1016/S0377-2217(77)81007-2MathSciNetCrossRefGoogle Scholar
  4. A. Charnes, W.W. Cooper, Management models and industrial applications of linear programming (Wiley, New York, 1961)zbMATHGoogle Scholar
  5. Easton and Rossin, A stochastic goal program for employee scheduling. Decis. Sci. 27(3), 541–568 (1996)CrossRefGoogle Scholar
  6. H. Fazlollahtabar, I. Mahdavi, A. Mohajeri, Applying fuzzy mathematical programming approach to optimize a multiple supply network in uncertain condition with comparative analysis. Appl. Comp. J. 13(1), pp. 550–562, (2013)CrossRefGoogle Scholar
  7. J.H. Flavell, Metacognitive aspects of problem solving, in The nature of intelligence, ed. by L.B. Resnick (pp. 231–235). (Hillsdale, NJ: Lawrence Erlbaum, 1976)Google Scholar
  8. P. Ghosh, T.K. Roy, A goal geometric programming problem (G 2 P 2) with logarithmic deviational variables and its applications on two industrial problems. J. Ind. Eng. Int. 9(1), pp. 1–9 (2013)Google Scholar
  9. A. Hallefjord, K. Jornsten, A critical comment on integer Goal Programming. J. Oper. Res. Soc. 39 101–104, (1988)CrossRefGoogle Scholar
  10. R.S. Hemaida, N.W. Kwak A linear goal programming model for transshipment problems with flexible supply and demand constraints. J. Oper. Res. Soc. 45(2), 215–224 (1994)Google Scholar
  11. J.P. Ignizio, Goal programming and extensions (Lexington Books, Lexington, MA, 1976)Google Scholar
  12. J.P. Ignizio, A reply to Comments on an algorithm for solving the linear goal—programming problem by solving its dual. J. Oper. Res. Soc. 38, 1149–1154 (1987)zbMATHGoogle Scholar
  13. J.P. Ignizio, On the merits and demerits of integer goal programming. J. Oper. Res. Soc. 40(8), 781–785. (Hampshire, UK, 1989)Google Scholar
  14. V. Jääskeläinen, Accounting and Mathematical Programming (contact author; Helsinki, 1969)Google Scholar
  15. M. Kumar, P. Vrat, R. Shankar, A fuzzy goal programming approach for vendor selection problem in a supply chain, Computers & Industrial Engineering, vol. 46, (2004), pp. 69–85CrossRefGoogle Scholar
  16. N.K. Kwak and M.J. Schniederjans, A goal programming model for improving transportation problem solving, OMEGA, vol. 7, (1979), pp. 367–370Google Scholar
  17. N.K. Kwak, M.J. Schniederjans, An alternative solution method for solving goal programming problems: The Lexicographic Goal Programming Case. Socio-economic Planning Sciences, 19(2), 101–107 (April, 1985)Google Scholar
  18. S.M. Lee, M. Bird, A goal programming model for sales effort allocation. Bus. Perspect. 6 17–21 (1970)Google Scholar
  19. S.M. Lee, Goal programming for decision analysis (Auerback, Philadelphia, 1972)Google Scholar
  20. M. Mekidiche, M. Belmokaddem, Z. Djemmaa, Weighted additive fuzzy goal programming approach to aggregate production planning. Int. J Intell. Syst. Appl. 4, 20–29 (2013)CrossRefGoogle Scholar
  21. C. Reeves, S.R. Hedin, A generalized interactive goal programming procedure, Computers and Oper. Res. 20 (1993) 747–753CrossRefGoogle Scholar
  22. Romero, A survey of generalized goal programming 1970–1982. Eur. J. Oper. Res. 25. 183–191 (1986)MathSciNetCrossRefGoogle Scholar
  23. C. Romero, Handbook of critical issues in goal programming (Pergamon Press, Oxford, 1991)zbMATHGoogle Scholar
  24. R.E. Steuer, Multiple criteria optimization: Theory, computation, and application (Wiley, New York, 1986)Google Scholar
  25. M. Tamiz, D.F. Jones, E. El-darzin, A review of goal programming and its applications. Ann. Oper. Res. 58, 39–53 (1995)MathSciNetCrossRefGoogle Scholar
  26. R. Yimme, B. Phruksaphanrat, Fuzzy goal programming for aggregate production and logistics planning. International MultiConference of Engineers and Computer Scientist vol II. Hongkong. Halaman 16–18 (2011)Google Scholar
  27. S.H. Zanakis, S.K. Gupta, A categorized bibliographic survey of goal programming. Omega, 13(13), 211–222 (1985)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KalyaniKalyani, NadiaIndia
  2. 2.Beldanga D.H. Senior MadrasahBeldanga, MurshidabadIndia

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