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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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PENDUGAAN PARAMETER DERET WAKTU HIDDEN MARKOV HAMILTON* SETIAWATY, B.; ADHARINI, Y.; HIRASAWA, H.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): 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.5.1.13-26

Abstract

Pendugaan parameter untuk model deret waktu Hidden Markov Hamilton (1994) dilakukan mengunakan Metode Maximum Likelihood dan pendugaan ulang menggunakan metode Expectation Maximization. Dari kajian ini diperoleh algoritma untuk menduga parameter model.
MODEL OPTIMAL SISTEM TRANSPORTASI ANGKUTAN KOTA SUPRIYO, P. T.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): 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.5.1.27-32

Abstract

Sistem transportasi perkotaan yang optimal sangat bergantung dengan upaya menyelesaikan masalah penjadwalan armada angkutan kotanya.  Hal ini memiliki beberapa masalah khusus.  Salah satu masalah tersebut adalah pengaturan perhentian untuk rute bercabang sedemikian sehingga memberikan kelancaran operasi penggabungan dengan jumlah armada minimum.  Masalah penentuan perhentian sedemikian sehingga meminimumkan jumlah armada untuk pengoperasian rute bercabang diperlihatkan analog dengan masalah inventori atau antrian deterministik sederhana.  Jumlah armada minimum yang diperlukan untuk mengoperasikan rute semacam ini diperlihatkan sama dengan daur kendaraan rataan dibagi dengan headway utama.
REGULATION LIMITS UNDER CONTROL EFFORT OF SIMO LTI SYSTEMS AND ITS EXTENSION TO DELAY-TIME SYSTEMS BAKHTIAR, T.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): 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.5.1.33-42

Abstract

In this paper, we investigate regulation properties pertaining to SIMO LTI systems, in which objective function of regulated response is minimized jointly with the control effort. We provide the closed-form solution of the H2 optimal regulation performance for unstable/non-minimum phase continuous-time and discrete-time systems. A direct implication of our main result in- cludes the energy regulation performance of minimum phase time delay systems.
HUBUNGAN DAERAH DEDEKIND DENGAN GELANGGANG HNP WULANDARI, T.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): 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.5.1.43-51

Abstract

Tulisan ini memperlihatkan bahwa daerah Dedekind merupakan suatu gelanggang HNP.
PERFORMANCE LIMITATION OF SYSTEMS UNDER SIGNAL-TO-NOISE CONSTRAINED CHANNEL BAKHTIAR, T.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): 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.5.2.1-12

Abstract

This paper re-discusses [1] and [11], where the prob- lems of feedback stabilization over a signal-to-noise ratio (SNR) constrained channel are studied. The first paper considers both continuous and discrete-time minimum phase systems, while the second extends the results to non-minimum phase ones and pro- poses a linear time-varying feedback strategies to eliminate the effect of non-minimum phase zeros in SNR limited stabilization. In general, the limitations on the ability to stabilize a plant over an SNR constrained channel are imposed mainly by unstable poles and non-minimum phase zeros of the plant.
ASYMPTOTIC NORMALITY OF A KERNEL-TYPE ESTIMATOR FOR THE INTENSITY OF A PERIODIC POISSON PROCESS MANGKU, I W.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): 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.5.2.13-22

Abstract

In this paper we prove asymptotic normality of a kernel type estimator for the intensity of a periodic Poisson process. This paper is a continuation of [10]. As in [10], we consider the situation when the period is known in order to be able to present simple proofs of the results.1991 Mathematics Subject Classification: 60G55, 62G05, 62G20.
PEMODELAN NILAI TUKAR RUPIAH TERHADAP $US MENGGUNAKAN DERET WAKTU HIDDEN MARKOV HAMILTON* SETIAWATY, B.; HIRASAWA, H.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): 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.5.2.23-30

Abstract

Perilaku nilai tukar Rupiah terhadap $US dari tahun 1998 sampai dengan 2007 dicoba dimodelkan dengan menggunakan deret waktu Hidden Markov. Pendugaan parameter model dilakukan mengunakan Metode Maximum Likelihood dan pendugaan ulang menggunakan metode Expectation Maximization. Hasil yang diperoleh cukup baik karena sudah menggambarkan secara umum perilaku nilai tukar Rupiah tetapi galat antara nilai harapan dengan nilai sebenarnya masih cukup besar.
MASALAH VARIASIONAL UNTUK PERSAMAAN BEDA DALAM GRAF TERBOBOTI GARNADI, A. D.; KHATIZAH, E.
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): 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.5.2.31-41

Abstract

Dalam tulisan ini, disajikan perumusan variasional masalah syarat batas dalam kerangka sistem diskrit. Melalui pe- rumusan tersebut, diperoleh Prinsip Maksimum. Selain itu, diper- oleh solusi masalah syarat batas yang dinyatakan oleh fungsi Green atas struktur diskrit.
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.

Page 11 of 23 | Total Record : 230

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