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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Fisika FLUX Jambura Journal of Mathematics Mathematics and Applications (MAp) Journal Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Jurnal Pengabdian Masyarakat Equiva
Pardi Affandi
Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat, Indonesia
Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Environmental Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Transportation Other

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Penerapan Metode SS (Sheethalakshmy–Srinivasan) dalam Optimasi Masalah Transportasi untuk Meminimalkan Biaya Distribusi Yazid Halim, Ahmad; Affandi, Pardi
Equiva Journal Vol 3 No 2 (2025)
Publisher : Jurusan Matematika dan Teknologi Informasi

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Abstract

The transportation problem is one of the important problems in operations research related to the distribution of goods from several sources to several destinations at minimum cost. This problem aims to determine the number of goods that must be shipped from each source to each destination so that all demand is met with the lowest possible total distribution cost. This study applies the SS Method (Sheethalakshmy–Srinivasan) as a direct approach to solving transportation problems without the need to determine a feasible initial solution. The SS Method offers systematic steps through row and column reduction processes and cost reduction calculation to obtain optimal solutions for both balanced and unbalanced transportation cases. The results of the application of this method show that the SS Method is able to provide optimal solutions efficiently with a shorter calculation time compared to conventional methods such as North West Corner, Least Cost, and Vogel's Approximation. Thus, the SS Method can be used as an effective alternative in optimizing distribution costs in modern logistics systems.
Masalah Transportasi menggunakan Kombinasi Distribusi Normal dengan Root Mean Square (RMS) untuk Solusi Layak Awal dan Sirisha-Viola Method (SVM) untuk Solusi Optimal Saadah, Miftahus; Affandi, Pardi
Equiva Journal Vol 3 No 2 (2025)
Publisher : Jurusan Matematika dan Teknologi Informasi

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Abstract

The objective of this research is to find the best logistics solution for various purposes at minimal cost. The development of a new initial feasible solution (IBFS) algorithm is the first step toward finding the optimal solution. This new method for initial feasible solutions reduces the number of iterations and produces the best solution for transportation problems at an early stage. The literature review covers various IBFS methods. The new IBFS was discovered using statistical techniques such as normal distribution and root mean square techniques. A transportation problem is converted into a normal distribution, and the penalty is determined using the root mean square method. The normal distribution value can be calculated using Excel Solver. In the second step, a step-by-step method is used to find the optimal solution. Numerical calculations are used to calculate the research results and compared with the Sirisha-Viola method in determining a feasible optimal solution.
Co-Authors Affandi, Aisyah Akhmad Basuki, Akhmad Yusuf Alkatiri, Gina Amalia, Rizka Nanda Andry Nor Indrawan Anjel Agustina Arifin Arifin Aulia, Rena Balya, Afief Balya, Muhammad Afief Cahya, Nila DEWI ANGGRAINI Faisal Faisal Faisal Faisal Faisal Faisal Faisal, F Faturrahman, Muhammad Fuad Muhajirin Farid Gita Sari Adriani Hikmawati, Lia Idris, Mochammad Juhriyansyah Dalle Karim, Ahsar Kasim Alfarisi Lestari, Anisha Ayu Lestia, Aprida Siska Maulida, Asna Meylan Miftahus Saadah, Miftahus Muhammad Ahsar Karim Muhammad Mahfuzh Shiddiq Nur Salam Nur Salam Nurul Dasima Astuti Nurul Huda Nurul Iftitah Oni Soesanto Putri Haidi, Melani Radityo, Radityo Rizqina, Sila Soesanto, Oni Sofyan Efendi Syahida, Nurul Tarapang, Angelina Novryance Thresye Thresye Widya Anggraini Yazid Halim, Ahmad Yuni Yulida Zahrotun Mu’alifah