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Journal : SAINSMAT

Analysis of Queue System On Passport Service Unit Class 1 Immigration Office of Makassar Abdy, Muhammad; Sanusi, Wahidah; Mukarram, Trys
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol 6, No 2 (2017): September
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (889.774 KB) | DOI: 10.35580/sainsmat6264692017

Abstract

Queuing is a common thing in everyday life and can be found in the manufacturing sector as well as in the service sector.No exception at the agency or government office.ULP (Passport Service Unit) The First Class Immigration Office of Makassar City is a technical implementing unit performing the functions of the Directorate General of Immigration in a certain region or city providing services in the field of immigration.This study aims to determine the queuing model applied to the Passport Service Unit of the First Class Immigration Office of Makassar City and find out whether the level of service provided is optimal.In the analysis process used manual calculation and supportby software POM for Windows 3.Based on analysis of data obtained after the study, modela queues applied to ULP (Unit Passport Service) Class I Immigration Office of Makassar is the (M/M/S):(FCFS/∞/∞).Queue system at Passport Service Unit First Class Immigration of the Office of Makassar City can be said to be normal on a typical day, because it has met the old standard of service time. So that the system applied is optimal.
Optimal Control of a Mathematical Model for Monkeypox Transmission in Indonesia Using the Pontryagin Maximum Principle Musfira, Musfira; Side, Syafruddin; Abdy, Muhammad; Ridho, Andi Muhammad; Supriadi, Supriadi
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol 14, No 2 (2025): September
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/sainsmat142763342025

Abstract

Abstract: The re-emergence of Monkeypox poses significant public health challenges in Indonesia. This disease continues to spread due to its zoonotic nature and the high frequency of human-animal interactions. This study aims to model the transmission dynamics of Monkeypox using the SIQR (Susceptible, Infectious, Quarantined, Recovered) framework and apply optimal control strategies through the Pantryagin Maximum Principle (PMP). Data from the Indonesian Ministry of Health were utilised for model parameterisation, with numerical simulations conducted using the fourth-order Runge-Kutta method. Control strategies included quarantine, tecovirimat, and public education. The simulation results revealed that implementing optimal control reduced the infected population by up to 75% within the first 10 months compared to scenarios without control. The basic reproduction number () was successfully reduced from 2.5 to below 1, indicating that the outbreak was controlled. Additionally, the recovery rate increased by 30%, with the susceptible population achieving a disease-free equilibrium by the eighth month. These findings highlight that mathematically-driven interventions can provide effective solutions for managing infectious diseases. It is recommended that these strategies be integrated into public health policies to optimise resource allocation. Further research is necessary to evaluate the scalability of this approach for other zoonotic diseases.