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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 publishes original research articles in the broad field of mathematics and its interdisciplinary applications. The journal covers, but is not limited to, the following areas: Mathematics in Informatics, Mathematics in Life Sciences, Mathematics in Actuarial Science, Mathematics in Natural Sciences, and Mathematics in Graph Theory. MILANG is open to high-quality submissions presenting innovative mathematical theories, methods, and applications that advance scientific understanding or solve real-world problems. The journal welcomes interdisciplinary research and contributions that bridge mathematics with other scientific domains.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 7 Documents
 1 
Search results for , issue "Vol. 8 No. 2 (2009): Journal of Mathematics and Its Applications" : 7 Documents clear
CONVERGENCE OF MSE OF A UNIFORM KERNEL ESTIMATOR FOR INTENSITY OF A PERIODIC POISSON PROCESS WITH UNKNOWN PERIOD MANGKU, I W.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.1-10

Abstract

Convergence of MSE (Mean-Squared-Error) of a uniform kernel estimator for intensity of a periodic Poisson process with unknowm period is presented and proved. The result presented here is a special case of the one in [3]. The aim of this paper is to present an alternative and a relatively simpler proof of convergence for the MSE of the estimator compared to the one in [3]. This is a joint work with R. Helmers and R. Zitikis.
MODEL PENJADWALAN PERAWAT DI RUMAH SAKIT LILHAM, L.; AMAN, A.; HANUM, F.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.11-18

Abstract

Dalam penelitian ini dibahas model penjadwalan perawat di rumah sakit yang meminimumkan total deviasi (penyimpangan) hari kerja setiap perawat dengan mempertimbangkan kebutuhan jumlah perawat, shift malam, dan kebutuhan day off dari tiap-tiap perawat serta beberapa kendala teknis lain yang perlu diperhatikan oleh pihak manajemen rumah sakit. Model penjadwalan perawat ini diformulasikan dalam bentuk Integer Linear Programming dan diproses dengan menggunakan software LINGO 8.0.
PENYELESAIAN PERSAMAAN GERAK GELOMBANG TAKLINEAR DENGAN MENGGUNAKAN PENDEKATAN HOMOTOPI JAHARUDDIN, J.; FAHRURRAZI, F.; HANUM, F.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.19-26

Abstract

Metode homotopi merupakan suatu metode pendekatan analitik yang digunakan untuk menyelesaikan masalah taklinear. Metode homotopi tersebut digunakan untuk menyelesaikan masalah nilai batas yang muncul pada formulasi gelombang taklinear. Hasil yang diperoleh berupa rumus rekursif dengan pendekatan awal dimisalkan dalam bentuk gelombang sinusoidal. Selain itu diberikan pula grafik kebergantungan kecepatan phase gelombang terhadap kecuraman gelombang.
MODEL PERDAGANGAN ANTAR NEGARA BERDASARKAN AKUMULASI MODAL DAYAT, D.; NUGRAHANI, E. H.; BUDIARTI, R.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.27-36

Abstract

Model perdagangan antarnegara dikembangkan untuk mengkaji kemungkinan terjadinya pola perdagangan antarnegara dengan perbedaan preferensi, fungsi produksi, dan perpindahan modal internasional secara sempurna. Konsumsi dan tabungan diturunkan dari optimasi fungsi utilitas. Ditunjukkan bagaimana perbedaan preferensi dan fungsi produksi dapat berpengaruh pada arah perdagangan dalam sistem dinamik. Hasil analisis disimpulkan bahwa pada saat ekuilibrium sistem dinamik memiliki solusi tunggal. Hasil simulasi menunjukkan bahwa peningkatan tingkat teknologi dari suatu negara berpengaruh pada peningkatan cadangan modal keseluruhan, cadangan modal dan tingkat produksi negaratersebut. Peningkatan tingkat kecenderungan untuk menabung suatu negara mengakibatkan peningkatan cadangan modal dan pengurangan penggunaan modal asing atau peningkatan pemberian modal kepada negara asing
MODEL SKEDUL MIGRASI DAN APLIKASINYA DALAM PROYEKSI PENDUDUK MULTIREGIONAL MUSLIMAH, M.; SUMARNO, H.; KUSNANTO, A.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.37-46

Abstract

Migration is one of demographic component beside fertility and mortality. The objective of thesis is to find model migration schedules and its application to multiregional population projection. Rogers et al. (1978) proposed one model migration schedules consist of 11 parameters. As the comparisson to that model this paper proposed another model used polinomial function. By divided Indonesia into two regions, Java-Bali and outer JavaBali, it would be found model migration schedules. The model be implemented to multiregional population projection based on SUPAS 2005 data. The result showed that the population growth continu to decreased and will reach -0,00066 in stable condition.
PEMODELAN NILAI TUKAR RUPIAH TERHADAP $US MENGGUNAKAN DERET WAKTU HIDDEN MARKOV DUA WAKTU SEBELUMNYA SETIAWATY, B.; NIKMAH, S. F.; ARDANA, N. K. K.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.47-56

Abstract

Perilaku nilai tukar Rupiah terhadap $US dari tahun 1998 sampai dengan 2008 dicoba dimodelkan dengan menggunakan deret waktu Hidden Markov dua waktu sebelumnya. Pendugaan parameter model dilakukan menggunakan Metode Maximum Likelihood dan pendugaan ulang menggunakan metode Expectation Maximization. Hasil yang diperoleh cukup baik karena sudah menggambarkan secara umum perilaku nilai tukar Rupiah. Galat antara nilai harapan dengan nilai sebenarnya relatif cukup kecil.
PAKET BIPLOT BIASA DAN KEKAR DENGAN PEMROGRAMAN FUNGSIONAL MATHEMATICA BERBASIS GUI ARDANA, N. K. K.; SISWADI, S.
MILANG Journal of Mathematics and Its Applications Vol. 8 No. 2 (2009): 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.8.2.57-64

Abstract

Paket biplot sebagai alat eksplorasi dan visualisasi data peubah ganda dikembangkan dengan teknik pemrograman fungsional Mathematica berbasis GUI (Graphical User Interface)  Paket ini dapat digunakan untuk melakukan eksplorasi data peubah ganda, baik tanpa pencilan maupun dengan pencilan. Analisis biplot biasa untuk kasus data tanpa pencilan menggunakan penguraian nilai singular matriks data dengan norma L2, sedangkan biplot kekar untuk kasus matriks data yang mengandung pencilan dilakukan dengan memberikan bobot pada setiap baris matriks data pendugaan-M kekar. Konfigurasi peubah-objek ditampilkan di dalam ruang dua dimensi pada berbagai koefisien α ϵ [0,1] yang dapat diubah secara interaktif, disertai ukuran kesesuaian matriks pendekatan, dan berbagai hasil komputasi numerik lainnya, Ilustrasi numerik diberikan untuk melihat tampilan kedua jenis biplot yang dihasilkan.

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