Journal of Mathematics UNP
Vol 6, No 1 (2021): Journal Of Mathematics UNP

Optimasi Pendistribusian Air PDAM Payakumbuh dengan VAM dan Pengujian Optimalitasnya Menggunakan Metode MODI

Annisya Annisya (Jurusan Matematika FMIPA UNP)
Hendra Syarifuddin (Jurusan Matematika Universitas Negeri Padang)
Riry Sriningsih (Jurusan Matematika Universitas Negeri Padang)



Article Info

Publish Date
20 Mar 2021

Abstract

Abstract – Optimization model is one of the analysis models which identictooperations research. Transportation model relatesto the determination of the least cost plan to send an item from a number of source to a number of destination areas, like VAM. VAM principle ischooseleastof the least cost of eachrowandcolumnand thencalculate the differencebetweenit. Thedifferenceis called Vogel number. VAMmethodswillprovidesan initial solution to findthe nearest  optimalsolution. Thereforeitis necessary to do a testthe optimalityoftheinitial solutionusingMODI. MODI method is to resolve the  case of the transportation that was developed from the stepping stone method. The purpose of this  research is determining the optimal water distribution with minimum distribution cost. The result ofthis indicate that the operating costs is Rp. 6,344,697.13 before it was done minimization and the operational costsis Rp. 5,284,908.08 after it was done minimization by VAM. Keywords – vogel approximation, modified distribution, optimization, water distribution.

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Journal Info

Abbrev

mat

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential ...