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All Journal AL-ULUM: JURNAL SAINS DAN TEKNOLOGI
Mabela Makengo Matendo Rostin
Department of Mathematics, statistics and Computer Science, Faculty of Sciences and Technology, University of Kinshasa, Democratic Republic of Congo.
Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Energy

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ON STOCHASTIC LINEAR PROGRAMMING AND ITS APPLICATION IN AGRO-PASTORALISM Ngombo Tsasa Lutete Adèle; Bukweli Kyemba J.D; Lungiambudila Mamona O; Mabela Makengo Matendo Rostin
AL ULUM: JURNAL SAINS DAN TEKNOLOGI Vol 12, No 1 (2026)
Publisher : UPT Publication and Journal Management, Islamic University of Kalimantan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31602/jst.v12i1.21735

Abstract

Stochastic linear programming (SLP) is a robust method for optimization under uncertainty. This study applies SLP to livestock feed formulation, aiming to minimize costs while meeting nutritional requirements with probabilistic constraints. The model considers ten ingredients Ai with costs ci and five nutrients Jj. Minimum nutrient levels are set with given probabilities, and deterministic equivalents are derived using quantiles of three distribution laws: normal, uniform, and exponential. MATLAB analysis indicates that uniform and exponential distributions yield the most efficient input combinations for minimal cost. These results show how distributional assumptions affect optimal solutions and demonstrate the practical value of incorporating uncertainty into feed production. The study contributes to the literature on SLP in agriculture and economics, offering decision-makers strategies to balance cost efficiency with nutritional adequacy.
Co-Authors Bukweli Kyemba J.D Lungiambudila Mamona O Ngombo Tsasa Lutete Adèle