Penyelesaian Metode Quick Simplex Terhadap Metode Dua Fase dengan Dua Elemen secara Simultan pada Kasus Minimum

Authors

  • Elfira Safitri Universitas Islam Negeri Sultan Syarif Kasim Riau
  • Sri Basriati
  • Mohammad Soleh
  • Ade Novia Rahma

DOI:

https://doi.org/10.15575/kubik.v6i1.12259

Keywords:

Keywords, Linear programming, two-phase method, two-phase quick simplex method.

Abstract

Linear programming is a way to solve the problemof allocating limiter resources optimally. One of the methods used in solving the simplex method for mixed constraints is the two-phase method. There is a new approach to solve linear programming problems, namely the quick simplex method is carried out using a matrix to reduce the number of iterations needed to achieve the optimal solution. Completion step for the minimum case are the same as for the maximum case, the difference is only taking the entering variable, namely taking a positive value on the zj-cj line minimum case. The method used in this research is the two-phase quick simplex method. The purpose this study to find out the optimal solution for solving the quick simplex method in the two-phase method for the minimum case. Based on the research result, the quick simplex metode of entering variables and leaving variables can be taken two elements at simultaneously,resulting in fewer iterations than the usual two-phase method.

References

Dimyati, Tjutju dan Dimyati Ahmad.“Operation Research, Model-Model Pengambilan Keputusanâ€. Penerbit Sinar Baru Algensindo, Bandung. 2009

Adinegoro, P., Putri, R. R. M., & Ratnawati, D. E. “Optimasi Biaya Pemenuhan Asupan Gizi pada Makanan Bagi Anak-Anak Menggunakan Metode Simpleks Dua Faseâ€. Jurnal Pengembangan Teknologi Informasi Dan Ilmu Komputer (J-PTIIK) Universitas Brawijaya, 1(10), 1110–1119, 2017

Vaidya NV, dan Kasturiwale NN. “Quick Simplex Algorithm for Optimal Solution to the Linear Programming Problem along with Theoretical Proof of Formulaeâ€. Int. J Latest Trend Math, (IJLTM). (E-ISSN-2049- 2561). 4(2):183-200, 2014

Vaidya NV, dan Kasturiwale NN. “Application of Quick Simplex Method (A New Approach) on Two-Phase Methodâ€. British Journal of Mathematics & Computer Science. Science domain International. 16 (1) : 1 – 15 : Article no. BJMCS. 24440 ISSN: 2231-0851, 2016

Vaidya NV. “Application of quick simplex method on the dual simplex method (A New Approach)’’. British Journal of Mathematics & Computer Science. Science domain International. 24 (5) : 1 – 19 : Article no. JAMCS. 36357 ISSN: 2231-0851. 2017

Yuhandi. “Penyelesaian Program Linier menggunakan Metode Simpleks Dua Fase dan Metode Quick Simpleks Dua Faseâ€. Skripsi. Fakultas Sains dan Teknologi. UIN Suska Riau. 2021

Vaidya NV, dan Kasturiwale NN. “Optimum Solution to the Simplex Method – An Alternative Approachâ€. International Journal of Latest Trends in Mathematics (IJLTCM). E-ISSN: 2049 – 2561. 2012

Published

2021-08-31

How to Cite

Safitri, E., Basriati, S., Soleh, M., & Rahma, A. N. (2021). Penyelesaian Metode Quick Simplex Terhadap Metode Dua Fase dengan Dua Elemen secara Simultan pada Kasus Minimum. KUBIK: Jurnal Publikasi Ilmiah Matematika, 6(1), 51–60. https://doi.org/10.15575/kubik.v6i1.12259

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