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MILANG Journal of Mathematics and Its Applications
Published by Institut Pertanian Bogor
ISSN : -     EISSN : 29635233     DOI : https://doi.org/10.29244/milang.18.1
Core Subject : Education,
Mathematics
MILANG Journal of Mathematics and Its Applications, originally established in 2002 as the Journal of Mathematics and Its Applications (ISSN 1412-677X), transitioned to online publishing in 2018 and was renamed in 2022 to reflect its broadened scope. The name MILANG, a Sundanese word meaning “to count,” also stands for the journal’s key focus areas: Mathematics in Informatics, Life Sciences, Actuarial Science, Natural Sciences, and Graph Theory. This journal, published twice a year in June and December by the Department of Mathematics, IPB University, embraces an open access policy, making all articles freely available upon publication to support the global dissemination of innovative mathematical research.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 230 Documents
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HIGHER ORDER KORTEWEG-DE VRIES MODELS FOR INTERNAL WAVES JAHARUDDIN, J.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 2 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.2.15-22

Abstract

By using asymptotic methods, evolution equation is derived for the internal waves in density stratified fluid. This evo- lution equation arise as a solvability condition. A higher-order extension of the familiar Korteweg-de Vries equation is produced for internal waves in a density stratified flow with a free surface. All coefficients of this extended Korteweg-de Vries equation are expressed via integrals of the modal function for the linear theory of long internal waves.
BENTUK FUNGSIONAL TINGKAT FERTILITAS ALAMI DAN TINGKAT PERILAKU HENTIAN SUMARNO, H.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 2 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.2.23-36

Abstract

Tingkat fertilitas perkawinan umur a menyatakan intensitas kelahiran bagi wanita umur a, jika ia menikah mulai dari awal masa reproduksinya. Dalam model Coale-Trussell, tingkat fertilitas perkawinan umur a dapat diuraikan menjadi dua komponen, yakni tingkat fertilitas alami standar umur a, n(a), dan tingkat perilaku hentian standar umur a, v(a).  Tujuan kajian ini ialah membuat kedua komponen n(a) dan v(a) menjadi bentuk fungsional. Proses ini akan mentransformasi model Coale- Trussell menjadi kurva kontinu. Dengan menggunakan model kontinu, diharapkan akan dapat meningkatkan kemampuan model menyuai data, terutama dalam analisis data skala mikro, karena variasi intensitas kelahiran menurut umur dapat dimodelkan dengan lebih cermat.
ON THE USE OF DISCRETE FOURIER TRANSFORM FOR SOLVING BIPERIODIC BOUNDARY VALUE PROBLEM OF BIHARMONIC EQUATION IN THE UNIT RECTANGLE GARNADI, A. D.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 2 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.2.37-42

Abstract

This note is addressed to solving biperiodic boundary value problem of biharmonic equation in the unit rectangle. First, we describe the necessary tools, which is discrete Fourier trans- form for one dimensional periodic sequence, and then extended the results to 2-dimensional biperiodic sequence. Next, we use the discrete Fourier transform 2-dimensional biperiodic sequence to solve discretization of the biperiodic boundary value problem of Biharmonic Equation.
CHARACTERISTICS OF A TRUE PARAMETER OF A HIDDEN MARKOV MODEL SETIAWATY, B.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 2 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.2.43-48

Abstract

Representation which generates the observed process of a hidden Markov model is not unique. The simplest one, that is, the one with minimum size is called a true parameter. This article is aimed to present characteristics of this parameter.
EQUIVALENT REPRESENTATIONS OF HIDDEN MARKOV MODELS SETIAWATY, B.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.1.1-12

Abstract

In this article, we classify the class of hidden Markov models through the laws of the observation processes, since the Markov chains are not observable. Here, we also present some properties regarding this classification.
MODELLING AND DESIGN OF ROBUST CONTROL FOR PASSANGER CAR SUSPENSION SYSTEM KUSNANTO, A.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.1.13-24

Abstract

There are many uncertainties that occur in characterizing systems and environment in which they have to operate. Due to the uncertainties, no classical control theories are applicable to systems properly. Because of that, new theories occur for solving the problem. One of the new theory is H∞ theory. In this paper, it is given the application of H∞ theory in design of controller. The controller will be applied to damp out the vibration of passanger car. In this works, the roughness of road is modelled as uncertainties.  
AN OPTIMAL CONTROL FORMULATION OF PORTFOLIO SELECTION PROBLEM WITH BULLET TRANSACTION COST SYAHRIL, E.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.1.25-36

Abstract

This paper formulates a consumption and investment decision problem for an individual who has available a riskless asset paying fixed interest rate and a risky asset driven by Brownian mo- tion price fluctuations. The individual is supposed to observe his or her current wealth only, when making transactions, that trans- actions incur costs, and that decisions to transact can be made at any time based on all current information. The transactions costs is fixed for every transaction, regardless of amount trans- acted. In addition, the investor is charged a fixed fraction of total wealth as management fee. The investor’s objective is to max- imize the expected utility of consumption over a given horizon. The problem faced by the investor is formulated into a stochastic discrete-continuous-time control problem.
SOLUSI NUMERIK PERSAMAAN BOLTZMANN NUGRAHANI, E. H.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.1.37-44

Abstract

Particle methods are well known tools to solve the kinetic Boltzmann equation numerically. The usual procedure of such method is the direct simulation Monte-Carlo, which directly simulate the collision between particles. The second method of interest is the stochastic weighted particle method, which is developed to improve the previous method. The main idea of the second method is to use random weight transfer between particles during collisions. In order to reduce the stochastic fluctuations, this method provides a way to increase the number of particles. But if the additional particles cannot be compensated in some natural way, then this number should be reduced. Several reduction procedures have been proposed. Some numerical results using both methods are presented. It is shown that the second method gives some better results in some ways.
ALGORITMA ROCC BUKHARI, F.; SULASNO, S.
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.2.1.45-59

Abstract

Algoritma concurrency control merupakan algoritma pengendalian akses konkurensi pada sistem sehingga objek yang diakses bersifat konsisten. Penelitian tentang concurrency control sudah dilakukan sejak 30 tahun lalu dan sudah banyak algoritma yang dihasilkan. Algoritma yang dihasilkan  umumnya menggunakan asumsi bahwa Transaction Manager adalah satu-satunya modul yang digunakan pengguna untuk mengakses objek. Sekarang ini akses terhadap objek dilakukan orang tidak hanya melalui Transaction Manager, tetapi juga melalui aplikasi internet. Pola tingkah laku transaksi melalui aplikasi internet berbeda dengan aplikasi tradisional. Algoritma concurrency control yang ada seperti two phase locking kurang tepat dan berkinerja buruk pada aplikasi internet. Untuk itu dibutuhkan suatu algoritma concurrency control baru yang sesuai dengan aplikasi internet. Shi dan Perizzo memperkenal algoritma ROCC (Read-commit Order Concurrency Control).  Banyak peneliti menilai algoritma ini sangat sesuai dengan aplikasi internet, tetapi algoritma ini melakukan restart yang tidak perlu. Penulis mencoba memperbaiki algoritma proses validasi sehingga restart dilakukan hanya pada akses atau transaksi yang tidak konsisten. Penelitian ini juga melakukan simulasi dalam upaya melihat perbedaan kinerja antara algoritma ROCC dan algoritma ROCC yang sudah diperbaiki.
ESTIMATING THE PROBABILITY OF MISCLASSIFICATIONS IN TWO-GROUPS DISCRIMINANT ANALYSIS MANGKU, I W.
MILANG Journal of Mathematics and Its Applications Vol. 3 No. 1 (2004): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.3.1.1-10

Abstract

This paper is a survey study on estimation of the pro- bability of misclassifications in two-groups discriminant analysis using the linear discriminant function as the classification rule. Here we consider two groups of estimators, namely parametric esti- mators and empirical estimators. The results of some comparative studies on the performances of the considered estimators are also discussed.

Page 8 of 23 | Total Record : 230

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