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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 216 Documents
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Stationary Probability Distributions of a Markov Chain B. SETIAWATY
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2456.147 KB) | DOI: 10.29244/jmap.1.1.25-33

Abstract

This article shows that stationary probability distributions of a Markov chain can be classified into two classes. These classes are determined by the type of communicating classes of the chain.
Nonexistence Proofs for Five Ternary Linear Codes S. GURITMAN
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2119.036 KB) | DOI: 10.29244/jmap.1.1.35-40

Abstract

An [n,k, dh-code is a ternary linear code with length n, dimension k and minimum distance d. We prove that codes with parameters [110,6, 72h, [109,6,71h, [237,6,157b, [69,7,43h, and [120,9,75h do not exist.
Penetapan Tarif Optimal dengan Model Permainan Stackelberg D. C. LESMANA; D. S. PRIYARSONO; F. HANUM
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2583.739 KB) | DOI: 10.29244/jmap.1.1.41-48

Abstract

Tarif dapat digunakan untuk mencegah industri asing melakukan praktik- praktik untuk menarik keuntungan atas industri domestik yang menyebabkan penurunan pendapatan nasional. Jika pasar suatu negara adalah oligopolistik maka ada dua akibat tarnbahan dari penurunan tarif yang cenderung mengu- rangi kesejahteraan negara. Pertarna, jika produsen asing mempunyai keku- atan pasar, maka negara pengimpor mernbayar dengan harga yan.g lebih tinggi daripada biaya marjinal. Derrgan mernberlakukan tarif, negara dapat rnerrgam- bil sebagian surplus monopolis. Kedua, proteksi monopolis domestik meng- hasilkan keuntungan. Sebagian keuntungan ini akan mengalir ke perusahaan asing setelah penurunan tarif. Hal ini mengakibatkan penurunan kesejahte- raan negara.
Analisis Kestabilan Titik Tetap dan Bifurkasi Kelompok Inti pada Model Transmisi Penyakit Seksual T. RAHMAWATI; M. N. AIDI; F. HANUM
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3667.696 KB) | DOI: 10.29244/jmap.1.1.49-64

Abstract

Transmisi penyakit seksual pada suatu populasi berkaitan erat dengan kegiatan seksuaJ individu-individu pada populasi tersebut. Dalarn pemba- hasan model transrnisi penyakit seksual ini, populasi dibagi rnenjadi dua kelorn- pok, yaitu kelompok dengan tingkat aktivitas seksual tinggi yang dinamakan kelorrrpok inti, dan kelornpok dengan tingkat aktivitas seksual rendah, yang dinamakan dengan kelompok non-inti. Berdasarkan tingkat aktivitasseksual- nya, pada umumnya kelompok non inti tidak terlalu berpengar uh pada trans- misi penyakit seksual ini. Jadi, model umum transmisi penyakit seksual amat dipengaruhi oleh model kelompok inti yang dibahas dalam tulisan ini. Ana- lisis kestabilan dilakukan untuk model tersebut dan diperoleh tiga titik tetap beserta kondisi kestabilan yang harus dipenuhi. Individu terinfeksi dapat menularkan penyakit pada individu rentan atau tervaksinasi, dan dapat berpengaruh pada kestabilan transmisi penyakit sek- sual pada kelompok inti ini. Strategi pencegahan (vaksinasi) juga diberikan pada kelompok inti. Perubahan nilai tingkat vaksinasi dapat mempengaruhi kestabilan sistem. Sistem akan kehilangan kestabilan apabila diberikan tingkat vaksinasi yang lebih kecil daripada tingkat kritis vaksinasi.
ESSAY ON UNIFIED EXPOSITION OF FOUR MAJOR THEOREMS IN TOPOLOGY A. D. GARNADI
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 2 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.452 KB) | DOI: 10.29244/jmap.1.2.1-10

Abstract

This essay is an expository notes on four major theo- rems in Topology. The only prerequisites to comprehend this notes are basic knowledge in real analysis, elementary point set topology, and mathematical maturity.
A HIDDEN MARKOV MODEL: DEPENDENCIES BETWEEN RANDOM VARIABLES AND ITS REPRESENTATION B. SETIAWATY
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 2 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (128.644 KB) | DOI: 10.29244/jmap.1.2.11-22

Abstract

This article shows the nature of dependencies between random variables in a hidden Markov model. Using these properties,we will show that the law of a hidden Markov model is completely specified by a set of four parameters which is called a representation of the hidden Markov model. 
PRINSIP MAKSIMUM PONTRYAGIN DALAM MASALAH KONTROL OPTIMUM STOKASTIK E. SYAHRIL
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 2 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (140.159 KB) | DOI: 10.29244/jmap.1.2.23-36

Abstract

Kontrol Optimum Stokastik merupakan cabang ma- tematika yang relatif baru perkembangannya. Terdapat dua pen- dekatan untuk menentukan solusi masalah kontrol optimum sto- kastik, yaitu prinsip maksimum Pontryagin dan program dinamis Bellman. Tulisan ini menyajikan prinsip maksimum untuk masalah kontrol optimum stokastik dan aplikasinya dalam masalah portofo- lio dan konsumsi. Merton(1971) menyelesaikan masalah konsumsi dan portofolio dengan menggunakan pendekatan program dinamis. Dengan hasil yang diperoleh oleh Merton sebagai patokan, masalah konsumsi dan portofolio diselesaikan dengan pendekatan prinsip maksimum.
DISCRIMINANT FUNCTIONS AND THEIR MISCLASSIFICATION ERRORS I W. MANGKU
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 2 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (149.634 KB) | DOI: 10.29244/jmap.1.2.37-48

Abstract

This paper is a survey study on discriminant functions and their misclassification errors. Here we consider three groups of discriminant functions, namely discriminant functions for respec- tively multivariate normal variables, multivariate binary variables, and a mixture of multivariate binary and normal variables. Finally we derive their misclassification errors.
SUATU FORMULASI LAGRANGE BAGI GERAK GELOMBANG INTERNAL J. JAHARUDDIN
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 2 (2002): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (122.755 KB) | DOI: 10.29244/jmap.1.2.49-59

Abstract

Dalam tulisan ini diturunkan persamaan gerak gelom- bang internal di laut dengan menggunakan suatu formulasi La- grange. Persamaan yang diperoleh berupa persamaan Korteweg- de Vries (KdV) untuk perairan yang dangkal. Selain itu diper- oleh pula persamaan Benjamin-Ono (BO)untuk laut yang memiliki kedalaman yang sangat besar.
AN INVESTMENT STRATEGY IN PORTFOLIO SELECTION PROBLEM WITH BULLET TRANSACTION COST E. SYAHRIL
MILANG Journal of Mathematics and Its Applications Vol. 2 No. 2 (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 (145.536 KB) | DOI: 10.29244/jmap.2.2.1-14

Abstract

This paper discusses an investment strategy for a con- sumption and investment decision problem for an individual who has available a riskless asset paying fixed interest rate and a risky asset driven by Brownian motion price fluctuations. The individual observes current wealth when making transactions, that transac- tions 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 transacted. In addition, the investor is charged a fixed fraction of total wealth as management fee. The investor’s objective is to maximize the expected utility of consumption over a given horizon. The prob- lem faced by the investor is formulated in a stochastic discrete- continuous-time control problem. An investment strategy is given for fixed transaction intervals.

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