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All Journal Zero : Jurnal Sains, Matematika, dan Terapan Jurnal Abdi Mas Adzkia
Sari, Rina Filia
Universitas Islam Negeri Sumatera Utara
Agriculture, Biological Sciences & Forestry Humanities Chemistry Languange, Linguistic, Communication & Media Mathematics Physics Social Sciences Other

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Journal : Zero : Jurnal Sains, Matematika, dan Terapan

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Integer Linear Programming for Patchwork Production Planning Optimization with Demand Uncertainty Afnaria, Afnaria; Sari, Rina Filia; Octariani, Dhia; Rambe, Isnaini Halimah
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (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.v9i1.24349

Abstract

This study develops an Integer Linear Programming (ILP) model to optimize monthly production planning for handcrafted patchwork MSMEs in Medan, Indonesia. The model incorporates key operational constraints, including production time, material and handling costs, labor, electricity, capital limits, and uncertain demand. Demand uncertainty is modeled deterministically using upper and lower bounds derived from historical field data. The objective function maximizes total profit while ensuring resource feasibility. A real-world case study involving five products across five artisans is presented, resulting in a maximum profit of IDR 12,469,900. The model is implemented using LINGO 18.0 and validated through sensitivity analyses. Results show that a 50% reduction in demand may reduce profit by up to 33.8%, while an increase in lead time can lower profit by 17.1%. These findings demonstrate the model’s robustness and its potential to serve as a decision-support tool for MSMEs facing volatile market conditions and operational constraints.
RELATIVE RISK ANALYSIS OF THE SPREAD OF COVID-19 VIRUS IN MEDAN CITY BY SPATIAL AND NON-SPATIAL APPROACHES Audina, Yurid; Sari, Rina Filia; Widyasari, Rina
ZERO: Jurnal Sains, Matematika dan Terapan Vol 6, No 2 (2022): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v6i2.14557

Abstract

The city of Medan is the city with the highest cases of COVID-19 virus among cities in North Sumatra. This study was conducted to analyze the relative risk level for the spread of the COVID-19 virus. Estimation of relative risk is a statistic in disease mapping that is used to determine the distribution of disease. Relative risk estimation can be estimated using a direct estimator model or Standardized Morbility ratio and a small area estimation model using Bayesian Conditional Autoregressive (CAR) with the Poisson-Gamma model. The Poisson-Gamma model is one of the models in estimating small areas in the form of count data which is suitable for use in disease mapping cases. This study aims to find the relative risk value as the basis for mapping the spread of the COVID-19 virus in the city of Medan using the Standardized Morbility Ratio and Bayesian Condition Autoregressive models. And look for the value of the Central Error Squared (KTG) / Mean Squared Error (MSE) as a comparison which model is more efficient in estimating this research. Condition Autoregressive models. And look for the value of the Central Error Squared (KTG) / Mean Squared Error (MSE) as a comparison which model is more efficient in estimating this research.
Co-Authors Afnaria, Afnaria Aprilia, Nadia Audina, Yurid Hasibuan, Nasyuwah Sabila Octariani, Dhia Pratama, Teddy Yogi Rambe, Isnaini Halimah S, Azzahra Tri Najla Wibowo, Ridho Andira Widyasari, Rina