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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Faturohman, Ikhsan
Department of Mathematics Education, Universitas Cipasung Tasikmalaya, Tasikmalaya, Indonesia
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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Development of a Mathematical Model for the Optimization of Natural Resources in Villages Faturohman, Ikhsan; Hilmi, Yugi
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.26131

Abstract

This study integrates Linear Programming (LP) and Geographic Information System (GIS) to optimize land and water resource utilization in Indonesian rural areas. The proposed multi-period LP model aims to maximize farmers’ net profit under land, water, and labor constraints, where decision variables represent the land area (in tumbak) allocated to each crop per period. Conducted in three agricultural villages of Garut Regency with 60 farmer respondents selected through stratified sampling, the model was solved using Excel Solver and spatially visualized through GIS. Results show an optimal cultivated area of 453.202 tumbak, utilizing 16,412.49 m³ of water and 5,319.098 man-days of labor, producing Rp 2,078,047,500 in gross revenue and Rp 26,493,556 in net profit. Land-use efficiency improved by 64.8% from baseline conditions, with land as the main binding constraint. The model offers a practical decision-support tool for policymakers to plan crop rotation, irrigation scheduling, and sustainable land-use strategies.
Co-Authors Hilmi, Yugi