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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 5 Documents
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Search results for , issue "Vol. 6 No. 1 (2007): Journal of Mathematics and Its Applications" : 5 Documents clear
OPTIMAL ENERGY REGULATION PERFORMANCE OF DELAY-TIME SYSTEMS BAKHTIAR, T.
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): 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.6.1.1-10

Abstract

This paper studies the regulation performance limi- tation of delay-time systems. The performance is measured by the energy of the control input with respect to an impulse dis- turbance function. We first provide the analytical closed-form expression of the optimal performance for minimum phase case by reviewing the existing result. We then extend the problem to non-minimum phase case by exploiting the results of linear time- invariant discrete-time and delta domain cases.
BALANCED BOOTSTRAP ESTIMATORS FOR THE PROBABILITY OF MISCLASSIFICATIONS IN DISCRIMINANT ANALYSIS MANGKU, I W.
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): 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.6.1.11-22

Abstract

In this paper we propose new error rate estimators based on balanced bootstrap technique, which are expected to per- form better than the existing estimators. These estimators can be computed by means of separate or mixture resampling methodol- ogy. We consider both of them.
ALGORITMA RUTE TERPENDEK BERBASIS TEORI GRAPH SUPRIYO, P. T.
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): 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.6.1.23-32

Abstract

Masalah penentuan rute optimal armada kendaraan pada suatu jaringan jalan (network) seringkali dijumpai dalam perencanaan dan pengoperasian sistem pelayanan yang dilakukan oleh suatu instansi atau badan usaha tertentu.  Hal ini memiliki beberapa masalah khusus.  Satu diantara masalah tersebut adalah penentuan rute terpendek kendaraan tunggal yang meliputi semua jalan (edge) pada suatu network.  Masalah penentuan rute terpendek kendaraan tunggal yang meliputi semua jalan pada suatu network tanpa memandang adanya urutan jalan yang harus dilalui, diperlihatkan analog dengan masalah menentukan himpunan edge– edge dengan panjang minimum yang ditambahkan pada network asli untuk memperoleh network diperbesar guna menyeimbangkan derajat masuk dan derajat keluar pada setiap verteks.  Rute terpendek yang diperoleh akan berupa suatu circuit Euler pada network diperbesar.
PEMODELAN UMUR KELAHIRAN ANAK PERTAMA SUMARNO, H.; BUDIARTI, R.; SISWANDI, S.
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): 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.6.1.33-42

Abstract

Umur melahirkan anak pertama merupakan faktor penting dalam studi kependudukan. Dari segi sosial, umur melahir- kan anak pertama merupakan peristiwa penting karena menyangkut perubahan status menjadi orang tua. Tujuan penelitian ini adalah untuk mencari sebaran dari umur kelahiran anak pertama, dengan melakukan modifikasi model perkawinan Coale-McNeil, agar sesuai digunakan untuk memodelkan umur kelahiran anak pertama di Indonesia khususnya dan di negara berkembang pada umumnya. Hasil analisis menunjukkan bahwa model umur melahirkan anak pertama yang telah dikembangkan memiliki keunggulan dibandingkan dengan model asal, karena model yang telah dikembangkan dapat lebih menjelaskan fenomena yang berlaku secara lebih teoritis. Pemadanan model tersebut terhadap data Jawa-Bali 1991 menghasilkan µ,σ, kepencongan, dan kurtosis berturut-turut sebe- sar 21.9 tahun, 5.2 tahun, 3.0 dan 3.8. Akhirnya dapat disimpulkan bahwa penelitian ini telah berhasil menemukan sebaran bagi umur kelahiran anak pertama yang dapat digunakan untuk analisis data kelompok maupun analisis data individu. Selanjutnya hasil penelitian ini diharapkan dapat dikembangkan menjadi model dengan kovariat, berguna untuk mempelajari dan menjelaskan faktor- faktor yang mempengaruhi umur kelahiran anak pertama. Model ini dapat digunakan untuk data contoh yang tidak terlalu besar sehingga dapat menghemat biaya.
PERSAMAAN INTERMEDIATE LONG WAVE PADA FLUIDA DENGAN KEDALAMAN YANG HINGGA JAHARUDDIN, J.
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): 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.6.1.43

Abstract

Dengan menggunakan metode asimtotik, diturunkan persamaan gerak gelombang internal pada fluida dengan kedalaman yang hingga. Persamaan gerak ini berbentuk persamaan Intermediate Long Wave (ILW). Persamaan ILW muncul sebagai suatu kondisi terselesaikan dari suatu masalah nilai batas. Koefisien dari persamaan ILW dinyatakan dalam bentuk integral dari suatu fungsi yang muncul pada pendekatan linear gelombang. 

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