# Goal Geometric Programming

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## 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

- N. Bryson, A goal programming method for generating priority vectors. J. Oper. Res. Soc.
**46**, 641–648 (1995)CrossRefGoogle Scholar - A. Charnes, W.W. Cooper, R. Ferguson, Optimal estimation of executive compensation by linear programming. Manage. Sci.
**1**, 138–151 (1955)MathSciNetCrossRefGoogle Scholar - 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 - A. Charnes, W.W. Cooper,
*Management models and industrial applications of linear programming*(Wiley, New York, 1961)zbMATHGoogle Scholar - Easton and Rossin, A stochastic goal program for employee scheduling. Decis. Sci.
**27**(3), 541–568 (1996)CrossRefGoogle Scholar - 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 - 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 - 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 - A. Hallefjord, K. Jornsten, A critical comment on integer Goal Programming. J. Oper. Res. Soc.
**39**101–104, (1988)CrossRefGoogle Scholar - 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 - J.P. Ignizio,
*Goal programming and extensions*(Lexington Books, Lexington, MA, 1976)Google Scholar - 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 - 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 - V. Jääskeläinen, Accounting and Mathematical Programming (contact author; Helsinki, 1969)Google Scholar
- 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
- N.K. Kwak and M.J. Schniederjans, A goal programming model for improving transportation problem solving, OMEGA, vol. 7, (1979), pp. 367–370Google Scholar
- 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 - S.M. Lee, M. Bird, A goal programming model for sales effort allocation. Bus. Perspect.
**6**17–21 (1970)Google Scholar - S.M. Lee,
*Goal programming for decision analysis*(Auerback, Philadelphia, 1972)Google Scholar - 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 - C. Reeves, S.R. Hedin, A generalized interactive goal programming procedure, Computers and Oper. Res.
**20**(1993) 747–753CrossRefGoogle Scholar - Romero, A survey of generalized goal programming 1970–1982. Eur. J. Oper. Res.
**25**. 183–191 (1986)MathSciNetCrossRefGoogle Scholar - C. Romero,
*Handbook of critical issues in goal programming*(Pergamon Press, Oxford, 1991)zbMATHGoogle Scholar - R.E. Steuer,
*Multiple criteria optimization: Theory, computation, and application*(Wiley, New York, 1986)Google Scholar - 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 - 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 - S.H. Zanakis, S.K. Gupta, A categorized bibliographic survey of goal programming. Omega,
**13**(13), 211–222 (1985)CrossRefGoogle Scholar

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