Jurnal Sains Matematika dan Statistika
Vol 9, No 1 (2023): JSMS Januari 2023

Solusi Layak Awal Masalah Transportasi Menggunakan Total Opportunity Cost Matrix-Modified Extemum Difference Method

Fahrudin Muhtarulloh (UIN Sunan Gunung Djati Bandung)
Sahira Nabila Juliana (UIN Sunan Gunung Djati Bandung)
Elis Ratna Wulan (UIN Sunan Gunung Djati Bandung)



Article Info

Publish Date
08 Feb 2023

Abstract

The transportation problem here is allocating goods from a place (source) to the destination (demand) optimally by considering minimal costs, effective allocation, and scheduling. To get this initial feasible solution using the Total Opportunity Cost Matrix-Modified Extremum Difference Method (TOCM-MEDM) approach. This method is a new method, which begins by making a case into the initial transportation problem table and then converting it into a TOCM (Total Opportunity Cost Matrix) matrix by calculating the difference between rows and columns. Then the entries turn into a TOCM matrix, the next step is to determine the row pointers and column pointers by subtracting the largest value from the smallest value in either row or column. This method is an approach from MEDM (Modified Extremum Difference Method). From these results, it can be continued to determine the maximum pointer cost by looking at the largest pointer. Then just calculate the minimum allocation of each row and column until supply and demand are met. The results of the analysis show that the results of solving the transportation problem to determine the initial feasible solution using the TOCM-MEDM method get the minimum yield costs of 410.

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Journal Info

Abbrev

JSMS

Publisher

Subject

Mathematics

Description

Jurnal JSMS (print ISSN: 2460-4542 dan online ISSN: 2615-8663) adalah akademik jurnal yang diterbitkan dua kali setahun (Januari dan Juli). Jurnal JSMS bertujuan menerbitkan hasil penelitian berkualitas tinggi yang direview oleh beberapa orang reviewer di bidang Matematika dan Statistika yang ...