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MISSILE POSITION ESTIMATION USING UNSCENTED KALMAN FILTER Herlambang, Teguh; Subchan, Subchan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (728.909 KB) | DOI: 10.30598/barekengvol16iss1pp205-214

Abstract

Missiles are military rocket weapons having an automatic control system to locate its targets or adjust its direction. Indonesia itself, which is a country of archipelago, covers air area of its largest territory, followed by sea area and land area. Logically, the existence of missile defense equipment (the main weapon system) or precisely the type of long-range missile is acceptable to support the defense and security of the Republic of Indonesia, but its consequences to be operated in the territory of Indonesia itself, in case of an occufanct of an error in targeting the target, will fall on of harm to its own national territory. Therefore, trajectory estimation for guided missiles is the basic requirement for guided missiles to be aimed at the precise targets. The trajectory is used as a guide to direct that the missile reach the target by following the given path. To maintain the accuracy of the trajectory continuously, the missile trajectory estimation was made by using Unscented Kalman Filter (UKF) Algorithm. This algorithm was used to estimate nonlinear dynamic models The simulation results showed that the UKF method was effective, showing the accuracy of 97% by the UKF method
OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION Fitria, Irma; Atlanta, Talitha B; Azahra, Nadia; Agustina, Choiriyah; Subchan, Subchan; Cahyaningtias, S
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (674.669 KB) | DOI: 10.30598/barekengvol16iss2pp463-470

Abstract

Cholera is an infection of the small intestine by some strains of the bacterium Vibrio Cholerae. This disease is a deadly disease that necessitates efficient prevention and control measures. In this research, the optimal control of the cholera spread model with variations of three control variables is discussed. There are four controls to minimize the spread of diseases such as sanitation, treatment consisting of quarantine, increased education, and chlorination. The dynamic system is formed with three controls variation. Then it is compared and analyzed for the most effective result. The optimal control solution is derived using the Pontryagin Minimum Principle and solved using the Runge-Kutta method.
COVID-19 Predictions Using Regression Growth Model in Ireland and Israel Raza, Wasim; Adzkiya, Dieky; Subchan, Subchan; Mehmood, Saba
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.10944

Abstract

The World Health Organization (WHO) asserted the recently discovered severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), also known as COVID-19, a pandemic on March 11, 2020. Since the genesis and growth mechanisms of this virus are unclear and impossible to detect, there are still many uncertainties concerning it and no vaccination or effective treatment. The main goal is to halt its global spread. This paper employed a regression growth model with an extended Weibull function on the dynamics of COVID-19 to make predictions about its spread. Our findings demonstrate the viability of using this model to forecast the spread of the virus. Using a logistic growth regression model, the note tabulates the COVID-19-related final epidemic sizes for a few sites, including Ireland and Israel.
Exploring Sustainable Tourism Resources to Realise Ergo Green Tourism in Indonesia Andriyansah, Andriyansah; Subchan, Subchan; Pamungkas, Kasno; Geraldina, Ira; Arifin, Andi Harmoko; Manggarani, Cynthia Ayu
Aptisi Transactions On Technopreneurship (ATT) Vol 7 No 2 (2025): July
Publisher : Pandawan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34306/att.v7i2.499

Abstract

This research examines sustainable tourism in Indonesia, focusing on Ergo Green Tourism, a model that integrates ergonomic principles with green tourism. With the tourism sector significant economic contribution, there is a growing need for a model that balances environmental sustainability with tourist comfort. The research aims to evaluate the Ergo Green Tourism model by analyzing the relationships between Environmental Green Knowledge, Green Marketing, and Environmental Protection in promoting sustainability and improving tourism performance in Indonesia. A quantitative approach using Structural Equation Modeling (SEM) was employed. Data was gathered from MSMEs in key Indonesian tourist destinations through structured questionnaires and in-depth interviews, combining both quantitative and qualitative insights. The findings show that environmental protection and environmental knowledge positively influence green marketing, Ergo Green Tourism, and sustainability. Furthermore, green marketing significantly enhances the development of Ergo Green Tourism. This research highlights the importance of integrating green and ergonomic practices into tourism. It provides actionable insights for stakeholders, including MSMEs and policymakers, and suggests further research to refine the model and assess its long-term impact across different regions in Indonesia.
Optimal Control of Multi-Supplier Inventory Management with Lead Time Darsih Idayani; Subchan Subchan
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 6 No. 1 (2020)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In the current global competition, companies are required to save money in order to survive. One of the expenses that can be reduced is the cost of inventory control. To minimize these costs, we require a proper planning and management of the inventory. Ordering supplies should be performed at a certain time period, especially with uncertain demand. As such, the company must determine when to order at the suppliers and how many should be ordered. So there will be no excess inventory in the warehouse because of too much ordering or because of the inventory cannot meet demand due to late or too little order to suppliers. Consequently, in this research, a quadratic cost functional is used as the objective function in multi-supplier inventory management problem with different lead time. Optimal control theory, LQR (Linear Quadratic Regulator) is used to solve this problem. According to the simulation, we conclude that the smaller weight resulted in more optimal inventory cost.
Stability and Bifurcation Analysis of Time Delayed Prey-Predator System with Holling Type-III Response Function Nur Aina Maziun; Subchan Subchan
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 6 No. 2 (2020)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Interaction between prey and predator is a recurring event that occurs continuously and the presence of both can mutually affect each other’s population. This paper discusses the stability and bifurcation analysis of time delayed prey-predator system with Holling type-III response function incorporating a prey refuge. Holling type-III response function is used because the availability of the prey in nature is decreasing. Time delay represents the time for predators to find another prey population when the available population is decreasing. Dynamic analysis is used to study the influence of a given response function. The equilibrium point and stability analysis of the model with and without time delay has been calculated and analyzed. Model analysis under the influence of time delay and coefficient of competition among predators shows an indication of Hopf bifurcation in the neighborhood of the co-existing equilibrium point.
Safety Verification of Uncertain Max-Plus-Linear Systems Aditya Putra Pratama; Subchan Subchan; Dieky Adzkiya
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 2 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this work, we discussed the verification of autonomous uncertain Max-Plus-Linear (uncertain MPL) systems with respect to safety property by using the reachability analysis approach. More precisely, given an uncertain MPL system, a nonempty set of initial conditions, a time horizon and an unsafe set, we want to determine whether the state can reach the unsafe set within the given time horizon. If the unsafe set is reachable, then the system is not safe. Otherwise, the system is safe. Our approach uses the piecewise affine representation of MPL systems to compute the reachable sets exactly.
OPTIMASI DALAM PENENTUAN DOSIS OPTIMAL PADA KEMOTERAPI TUMOR Yopi Andry Lesnussa; Subchan Subchan
Limits: Journal of Mathematics and Its Applications Vol. 7 No. 2 (2010): Limits: Journal of Mathematics and Its Applications Volume 7 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Indeks Kemampuan proses adalah suatu alat untuk menganalisa kemampuan proses produksi apakah sesuai dengan spesikasi yang diberikan. Indeks C adalah indeks yang sering digunakan untuk mengukur kemampuan proses dengan berdasarkan proporsi bagian yang tidak sesuai (Proportion non Conforming) dan pada indeks ini data diasumsikan berdistribusi Normal. pmk Indeks Kemampuan proses berdasarkan bagian yang sesuai (proportion of conforming) yaitu C dapat mengatasi kelemahankelemahan dari indeks kemampuan proses yang berdasarkan Proportion non Conforming diatas dimana data tidak harus berdistribusi Normal. Dalam tulisan ini dibahas analisis tentang indeks dengan menggunakan asumsi berdistribusi Non Normal yaitu distribusi Poisson dan distribusi Eksponensial berikut estimasi dari