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All Journal Jurnal Matematika JITEK (Jurnal Ilmiah Teknosains) Unisda Journal of Mathematics and Computer Science (UJMC) Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Pengabdian Masyarakat: BAKTI KITA Jurnal Pengabdian Kepada Masyarakat Indonesia
Siti Alfiatur Rohmaniah
Universitas Islam Darul 'Ulum Lamongan
Agriculture, Biological Sciences & Forestry Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Public Health Social Sciences Veterinary Other

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Masalah Penugasan Pada Teknisi Untuk Perbaikan Mesin Produksi Dalam Skenario Ketidakpastian Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah; Awawin Mustana Rohmah
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 1 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i1.10571

Abstract

The problem of technician assignment in terms of production machine repair is the main focus of this research to help smooth the production process, maintain the availability and performance of the machine where the repair process depends on the efficiency of the technician team. Unexpected machine damage, the level of complexity of machine repair, as well as different competencies and availability of technicians are part of the uncertainty conditions in machine repair. This research focuses on the uncertainty scenario (Sk1, Sk2, Sk3) of technician assignment for production machine repair with a case study involving 3 machines (M1, M2, M3) and 4 technicians (T1, T2, T3, T4). The method used adapts the Hurwicz and Bayes rules (H+B) where this method is designed for one-time decisions and pure strategies with the aim of minimizing the total machine repair time. The results of the application of the optimal solution method found are assignments (T1 - M1) 6.67 hours, (T2 - M2) 8.46 hours, and (T4 - M3) 7.86 hours and resulting in a minimum total repair time of 22.99 hours. Further research could be conducted to extend the model to consider different repair costs and technician capabilities as well as other approaches to uncertainty such as Fuzzy Logic or Stochastic Programming.
Analisis dan Simulasi Model Matematika SIRC pada Dinamika Penyakit Diabetes Mellitus dengan Komplikasi Awawin Mustana Rohmah; Alvina Wiliyanti; Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah; Rifky Ardhana Kisno Saputra
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.12276

Abstract

Diabetes is a global health problem with a continuously increasing prevalence, adversely affecting quality of life and increasing the risk of health complications. This study applies the SIRC mathematical model to describe the temporal dynamics of diabetes, with model parameters calibrated using recent data. System stability is analyzed using the Jacobian method to determine equilibrium points and system behavior. The results indicate a high incidence of disease and complications, while the recovery rate remains relatively low. The basic reproduction number (R₀) of 1.6483 suggests that the disease still has the potential to spread. Furthermore, the equilibrium point E₁ is found to be unstable due to the presence of positive eigenvalues. This study provides important insights into diabetes dynamics that may support effective health management strategies.
Co-Authors Alvina Wiliyanti Ata Amrullah Awawin Mustana Rohmah Bambang Irawanto Bayu Surarso Danardono Danardono Emy Natun Na'imah Maftuh Nur Muhammad Makhrus Afif Masriani Mahyuddin Miko Tri Afandi Mohammad Syaiful Pradana, Mohammad Syaiful Novita Eka Chandra Rifky Ardhana Kisno Saputra Siti Amiroch, Siti Siti Masnikafah