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Penugasan Multi Objective pada Industri Konveksi di Kabupaten Lamongan Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 10 No 2 (2024): 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.v10i2.8835

Abstract

There are various problems that must be faced by convection industry owners in Lamongan district in order to get optimal results in their business. These problems can include production costs, production time, production quality and income from products sold. The aim of this research is to optimize problems through implementing a multi-objective assignment method. The assignment method used in this research is the Weighted-Sum method, where this method changes the multi-objective objective function into one objective function by assigning weights to each objective function on a scalar basis. Based on the results of the implementation of the weighted-sum method, a pair of workers with tasks with optimal total resources was obtained.
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.