Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Rizky Habibi
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Medan, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
MIXED-INTEGER QUADRATIC PROGRAMMING (MIQP) MODEL FOR THE OPTIMIZATION OF INTEGRATED FARMING SYSTEMS Lasker Pangarapan Sinaga; Rizky Habibi; Suviardi Panggabean
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp3197-3212

Abstract

This study develops a Mixed-Integer Quadratic Programming model to optimize resource allocation and profitability in integrated farming systems. The model links crop, livestock, and aquaculture components in a closed-loop framework that promotes internal resource use and reduces dependence on external inputs. Land productivity, labor, feed, fertilizer, and capital constraints are incorporated into a deterministic annual optimization model. A scenario-based case study for North Sumatra, Indonesia, is conducted using five commodities and three main resource categories. Sensitivity analysis across 243 scenarios varies price, productivity, input cost, feed cost, and capital parameters. The results show that the model identifies optimal land and labor allocations, improves permanent labor efficiency, and strengthens internal resource circulation. Profitability is most sensitive to commodity prices and productivity, while higher input and feed costs reduce system performance. Practically, the model can assist farmers, cooperatives, and local policymakers in evaluating allocation strategies and improving input efficiency. However, the study is limited by its deterministic structure, reliance on secondary data contextualized to North Sumatra, and single-year planning horizon, and it does not yet incorporate stochastic uncertainty or broader ecological and social objectives.
Co-Authors Lasker Pangarapan Sinaga Suviardi Panggabean