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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 : Science, Education, Agriculture, Engineering,
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Mathematics
The name MILANG is a Sundanese word that means “to count”, and is also an acronym of the topics covered in the journal: Mathematics in Informatics, Life Sciences, Actuarial Science, Natural Sciences, and Graph Theory.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
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Search results for , issue "Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications" : 5 Documents clear
EQUIVALENT REPRESENTATIONS OF HIDDEN MARKOV MODELS B. SETIAWATY
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.2 KB) | 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 A. KUSNANTO
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, 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 E. SYAHRIL
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (132.861 KB) | 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 E. H. NUGRAHANI
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (313.127 KB) | 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 F. BUKHARI; S. SULASNO
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 1 (2003): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (383.031 KB) | 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.

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