cover
Contact Name
Mochamad Tito Julianto
Contact Email
mtjulianto@apps.ipb.ac.id
Phone
+6282210017722
Journal Mail Official
milang@apps.ipb.ac.id
Editorial Address
Departemen Matematika, FMIPA - Institut Pertanian Bogor Jl. Meranti, Gedung FMIPA Lt.2 Kampus IPB Dramaga Bogor 16680
Location
Kota bogor,
Jawa barat
INDONESIA
Milang Journal of Mathematics and Its Applications
ISSN : -     EISSN : 29635233     DOI : https://doi.org/10.29244/milang.18.1
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.
Articles 216 Documents
PENDUGAAN PARAMETER DERET WAKTU HIDDEN MARKOV HAMILTON* B. SETIAWATY; Y. ADHARINI; H. HIRASAWA
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (303.839 KB) | 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 P. T. SUPRIYO
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (153.846 KB) | 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 T. BAKHTIAR
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (148.627 KB) | 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 T. WULANDARI
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 1 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (107.939 KB) | 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 T. BAKHTIAR
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (173.008 KB) | 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 I W. MANGKU
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (121.727 KB) | 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* B. SETIAWATY; H. HIRASAWA
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (243.272 KB) | 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 A. D. GARNADI; E. KHATIZAH
MILANG Journal of Mathematics and Its Applications Vol. 5 No. 2 (2006): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (157.699 KB) | 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 T. BAKHTIAR
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (298.071 KB) | 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 I W. MANGKU
MILANG Journal of Mathematics and Its Applications Vol. 6 No. 1 (2007): Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (131.979 KB) | 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.

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