ANALISIS OPTIMISASI PROGRAM KUADRATIK DENGAN FUNGSI PENALTY
DOI:
https://doi.org/10.55606/jurripen.v2i1.812Keywords:
Optimization Analysis, Quadratic Program, Penalty Function, Lagrange Method.Abstract
This study aims to analyze the optimality of a quadratic program model using the penalty function. The analysis is carried out in each case that has been made so that in each case optimal results are obtained. There are many methods that can be used to solve the quadratic program problem but in terms of the number of iterations, this research uses the penalty function and then implements it into the Matlab programming language. The results obtained in this study indicate that by using the penalty function as a parameter, the optimal value of a function can be obtained. The results of the analysis will also be more optimal by using the lagrange method depending on the parameter values obtained.
References
Bazaraa, Mokhtar S. & Shetty, C. M. (1979). Nonlinear Programming : Theory And Algorithms . John Wiley and Sons, New Jersey.
Bazaraa, Mokhtar S. & Shetty, C. M. (2006). Nonlinear Programming : Theory And Algorithms Third Edition. John Wiley and Sons, New Jersey..
Belotti, P., Kirches,C.,Leyffer, S., Linderoth, J.,Luedtke, J. & Mahajan, A.
Dimyati, T.T. & Dimyati, A. (1999). Operations Research; Model-model Pengambilan Keputusan. Bandung: Sinar Baru Algensindo
Guenin, B., Konemann, J. & Tuncel, L. (2014). A Gentle Introduction To Optimization, University of Waterloo, Ontario.
Hariadi, V. (2009). Analisa Pemanfaatan Fungsi Penalti Pada Komputasi Penyelesaian Permasalahan Optimisasi Nonlinear. Jurnal Ilmiah Kursor, 5: 40 - 47.
G. Dipillo, L.Grippoand S.Lucidi. (1985). "Global convergen tex act penalty algorithm sfor constrained optimization", Contributed paper, 12 tb IFIP Conferenceon System Modelling and Optimization, Budapest.
Griva, I., Nash, S. G., Sofer, A., Linear and Non Linear Optimization, SIAM, Philadelphia, 2009
H. A, Parhusip.(2014). Optimasi taklinier (berdasarkan data-data penelitian, disertai program MATLAB 6.5). Salatiga:Tisara Grafika.
Hillier, F. S. & Lieberman, G. J. (2001). Introduction to Operations Research, Seventh Edition, The McGraw-Hill Companies, Inc., New York.
Rao, S. S. (2009). Engineering Optimization Theory and Practice 4th ed. Hoboken, New Jersey : John Wiley & Sons Inc.
Tjolleng, A. (2017). Pengantar Pemrograman MATLAB. Jakarta: PT. Elex Media Komputindo
Varberg, D. dan Purcell, E.J.(2010). Kalkulus, Jilid Dua. Binarupa Aksara.
Winston, W. L. (2003). Operations Research : Application. Boston: Duxbury Press
