Abstract
Goal programming (GP) has been proven a valuable mathematical programming form in a number of venues. GP model serves a valuable purpose of cross-checking answers from other methodologies. Different software packages are used to solve these GP models. Likewise, multiple regression models can also be used to more accurately combine multiple criteria measures that can be used in GP model parameters. Those parameters can include the relative weighting and the goal constraint parameters. A comparative study on the solutions using TORA, LINDO, and least square method has been made in this paper. The objective of this paper is to find out a method that gives most accurate result to a nonlinear multiple regression model.
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References
Legendre, A.M.: Nouvelles méthodes pour la détermination des orbites des comètes. “Sur la Méthode des moindres quarrés” appears as an appendix (1805)
Gauss, C.F.: Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientum (1809)
Weisberg, s: Applied Linear Regression, 2nd edn. Wiley, Inc, New York (1985)
Alp, S., Yavuz, E., Ersoy, N.: Using linear goal programming in surveying engineering for vertical network adjustment. Int. J. Phys. Sci. 6(8), 1982–1987 (2011)
Hassanpour H., Maleki R.H., Yaghoobi A.M.: Fuzzy linear regression model with crisp coefficients: a goal programming approach. Int. J. Fuzzy Syst. 7(2), 19–39 (2010)
Alken, L.S., West, S.G.: Multiple Regression: Testing and Interpreting Interactions. Sage Publications, Thousand Oaks (1991)
Curran, P.J., Bauer, D.J., Willoughby, M.T.: Testing main effects and interactions in hierarchical linear growth models. Psychol. Methods 9(2), 220–237 (2004)
Charnes, A., Cooper, W.W., Ferguson, R.: Optimal estimation of executive compensation by linear programming. Manage. Sci. 1(2), 138–151 (1955)
Ijiri, Y.: Management Goals and Accounting for Control. North-Holland Publishing Company, Amsterdam (1965)
Lee, S.M.: Goal Programming for Decision Analysis. Auerbach Publishers Inc., Philadelphia (1972)
Spronk, J.: Interactive Multiple Goal Programming: Application to Financial Planning. Martinus Nijhoff, Amsterdam (1981)
Ignizio, J.P.: Introduction to Linear Goal Programming. Sage Publications, Thousand Oaks, CA (1986)
Charnes, A., Cooper, W.W.: Goal programming and multiple objective optimizations. Eur. J. Operat. Res. 1, 39–54 (1977)
Eiselt, H.A., Pederzoli, G., Sandblom, C.L.: Continuous Optimization Models. W De G, New York (1987)
Ignizio, J.P.: A review of goal programming—a tool for multiobjective analysis. J. Opl. Res. Soc. 29(11), 1109–1119 (1978)
Tamiz, M., Jones, D., Darzi, E.: A review of goal programming and its applications. Ann. Oper. Res. 58(1), 39–53 (1995)
Machiel, K.: A goal programming approach to strategic bank balance sheet management. SAS Global Forum 2011, Centre for BMI, North-West University, South Africa, Paper 024–2011 (2011)
Gupta, M., Bhattacharjee, D.: Min sum weighted fuzzy goal programming model in investment management planning: a case study. Int. Res. J. Fin. Econ. Issue 56 (2010)
Sen, N., Nandi, M.: Goal programming, its application in management sectors–special attention into plantation management: a review. Int. J. Sci. Res. Pub. 2(9) (2012)
Sharma, S.C., Hada, D.S., Gupta, U.: A goal programming model for the interaction effects in multiple nonlinear regression. J. Comp. Math. Sci. 1(4), 477–481 (2010)
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Gupta, U., Hada, D.S., Mathur, A. (2014). An Efficient Solution to a Multiple Non-Linear Regression Model with Interaction Effect using TORA and LINDO. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_38
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