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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 6 Documents
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Search results for , issue "Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications" : 6 Documents clear
Estimation of the local intensity of a cyclic Poisson process by means of nearest neighbor distances I W. MANGKU
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 (3524.604 KB) | DOI: 10.29244/jmap.1.1.1-12

Abstract

We consider the problem of estimating the local intensity of a cyclic Poisson point process, when we know the period. We suppose that only a single realization of the cyclic Poisson point process is observed within a bounded 'window', and our aim is to estimate consistently the local intensity at a given point. A nearest neighbor estimator of the local intensity is proposed, and we show that our estimator is weakly and strongly consistent, as the window expands.
The effects of dynamics and information structures on the solution of conflicts in the global economic and trading system D. S. PRIYARSONO
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 (3852.725 KB) | DOI: 10.29244/jmap.1.1.13-23

Abstract

This article exemplifies the application of mathematical (game theoretic) modeling to describe economic phenomenon, i.e., conflicts within the global trading system. The main proposition of this article is that broadening time horizon and promoting information exchange between the parties in conflicts will result in cooperative solution.
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.

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