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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
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Search results for , issue "Vol. 30 No. 3 (1998)" : 5 Documents clear
Extention of Upper Bound Sampling Times for Discrete Implementation of a Continuous Controller Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Tulisan ini memperbaiki syarat cukup yang diusulkan oleh Astuti dkk sehingga implementasi diskret suatu pengendali kontinu tetap mengendalikan suatu sistem tak linier konvergen ke suatu bola. Seperti juga dalam Astuti dkk, syarat cukup tersebut dapat digunakan untuk menentukan batas atas periode cuplik yang akan menghasilkan sistem kendali data tercuplik yang bersifat konvergen. Lebih dari itu, batas atas yang dihasilkan dapat lebih baik dibandingkan dengan batas atas yang dihasilkan dengan menggunakan syarat cukup di Astuti dkk. Contoh sederhana diberikan untuk mempertunjukkan hasil tersebut. Extention of Upper Bound Sampling Times for Discrete Implementation of a Continuous ControllerThis note improves the sufficient conditions proposed by Astuti et. al. which guarantee the discrete implementation of a continuous controller remains resulting in the convergence of a nonlinear system. As in Astuti et. al. the proposed sufficient conditions can be used to determine an upper bound of sampling times resulting in the convergence of the closed loop sampled data control system. Further, the obtained upper bound of sampling time can be better than the upper bound obtained using the conditions in Astuti et. al. A simple example is given to demonstrate the result.
Performance Analysis of Leaky Buckets Integrated in ATM Networks F. Ahmadi Djajasugita; Sony Sumaryo
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Pada makalah ini dibahas analisis kinerja leaky bucket terintegrasi pada jaringan ATM dengan kombinasi control adaptif, metode marking dan metode prioritas. Juga ditinjau kinerja leaky bucket hasil dimensioning. Sebagai ukuran kinerja digunakan peluang sel hilang di jaringan dan throughput jaringan. Trafik masukan diasumsikan model 2-phase MMBP. Penelitian serupa yang telah dilakukan oleh X. Wu menggunakan model trafik masuk batch traffic dengan prores kedatangan Poisson dan panjang batch terdistribusi geometris. Hasil simulasi menunjukkan peluang sel hilang di jaringan makin berkurang dengan ukuran token pool K yang makin kecil; berkurangnya laju pembangkitan token mengakibatkan bertambahnya throughput jaringan; panjang burst rata-rata trafik masukan yang semakin besar akan memperbesar hilangnya sel di jaringan; dan kemudian, kinerja leaky bucket makin meningkat dengan digabungkannya mekanisme pengontrol kongesti lainnya seperti pengontrolan adaptif, marking, dan prioritas. Untuk leaky bucket hasil dimensioning, simulasi antara lain menunjukkan bahwa jika laju kedatangan sel conforming (sesuai dengan kontrak trafik), maka peluang sel hilang di jaringan makin kecil jika token pool makin kecil. Untuk (M+K) yang sama, leaky bucket dengan buffer menghasilkan peluang sel hilang di jaringan lebih kecil dibandingkan dengan tanpa buffer. Leaky bucket dengan buffer M besar dan pembangkitan token N besar menghasilkan peluang sel hilang di jaringan terkecil. Jika laju kedatangan sel makin jauh dari conforming, leaky bucket dengan N besar menghasilkan throughtput jaringan yang lebih besar. Performance Analysis of Leaky Buckets Integrated in ATM NetworksThis paper is an analysis of the performance of leaky buckets, which are integrated within ATM networks combined with adaptive control, marking and prioritizing. Also discussed is the performance of leaky bucket dimensioning. This performance is evaluated through network cell loss probabilities and network throughput. The arrival process is a 2-phase MMBP. Similar research has been done by Wu [10,11] using incoming traffic model batch traffic with a Poisson arrival process and a geometrically distributed batch length. The result of the simulation shows that the network cell loss probability is reduced as the token pool size K becomes smaller and smaller, the decrease of the token generation rate causes an increase in the network throughput; the network cell loss probability is higher in the case of a larger mean burst length; and the performance of the leaky bucket can be increased by incorporating other control mechanisms such as adaptive control, marking and prioritizing. For the leaky bucket dimensioning, the results of the simulation show, among other things, that if the incoming cell rate is conforming (appropriate to traffic contract) and the token pool is reduced, then the probability of network cell loss is also reduced. If (M + K) are the same, the buffered leaky bucket results in a network cell loss probability is smaller than for an unbuffered leaky bucket. The leaky bucket with big buffer M and big token generation N result in the smallest network cell loss probability. If the incoming cell rate is far from conforming, the leaky bucket with big N results in a bigger network throughput. 
Perubahan Struktur Kristal dan Index Kerja Bijih Emas Cimanggu, Jawa Barat akibat Pemanasan Gelombang Mikro Arief Sudarsono; Sudaryanto Sudaryanto; Pramusanto Pramusanto
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Sari. Energi yang dibutuhkan pada proses kominusi dapat mencapai 50-70% dari keseluruhan energi yang digunakan pada pengolahan mineral. Karena itu, diperlukan usaha untuk menurunkan pemakaian energi kominusi dengan mengubah sifat fisik bijih agar murah hancur. Pemanasan gelombang mikro pada bijih sebelum kominusi merupakan salah satu alternatif yang dapat diterapkan. Pada penelitian ini telah diamati besarnya energi penggerusan bijih emas dari Cimanggu, Jawa Barat sebelum dan sesudah diperlakukan dengan pemanasan gelombang mikro. Hasil penelitian menunjukkan bahsa pemanasan gelombang mikro dapat mengubah struktur fisik mineral. Perubahan struktur fisik mineral pembentuk batuan menyebabkan batuan tersebut menjadi lebih getas, dan adanya "interal stress" mengakibatkan kecepatan pemanasan yang tinggi menyebabkan timbulnya retakan sehingga dapat memperpendek waktu gerus dan menurunkan energi penggerusan. Dengan pemanasan gelombang mikro selama 5, 15, 30, 60, 120 dan 300 detik sebelum pengggerusan, indeks kinerja penggerusan dapat turun sekitar 20 sampai 35%. The Influence of Microwave Heating on the Crystal Structure and Work Index of Cimanggu (West Java) Gold OreAbstract. The energy consumed in the comminution can reach up to 50- 70% of the whole energy consumed in the mineral processing. It is necessary to reduce the consumption of the comminution energy changing the physical characteristic of the ore. The microwave energy heating used on the ore before comminution is one of the applicable alternatives. In this research the grinding energy of the Cimanggu gold ore, West Java, has been observed before and after the microwave heating treatment. The result indicates that the microwave treatment can cause physical structural changes on certain minerals, and the rock become more brittle. It can shorten and reduce the grinding time and energy. By microwave energy induced for 5, 15, 30, 60, 120, and 300 seconds prior to grinding, the work index was reduced by about 20 to 35%.
Pengaruh Pelapukan Batulempung Formasi Subang terhadap beberapa Sifat Keteknikannya Guna Menunjang Efektivitas Pemilihan Desain Perkuatan Lereng Imam A. Sadisun
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Dalam makalah ini dibahas karakteristik pelapukan batulempung Formasi Subang dalam kaitannya dengan sistem klasifikasi derajat pelapukan batuan dan perubahan nilai beberapa sifat keteknikannya. Lokasi pengamatan lapangan dan pengambilan contoh batuan dilaksanakan di daerah Karawang Selatan, Jawa Barat, karena kehadiran jenis batuan ini menempati wilayah yang cukup luas. Secara umum batulempung Formasi Subang dapat dibedakan atas enam zona yang mencerminkan perbedaan derajat pelapukannya. Hasil pengujian beberapa sifat keteknikan yang merupakan parameter dasar dalam analisis kestabilan lereng, seperti berat isi, kohesi, dan sudut geser dalam, memperlihatkan adanya hubungan yang berarti terhadap perubahan derajat pelapukannya. Maka, dengan mengetahui variasi derajat pelapukan batulempung Formasi Subang diharapkan perencanaan atau pemilihan desain (jenis) perkuatan lereng dapat dilakukan secara lebih tepat dan eifisien.Influence of Weathering in Claystone of Subang Formation on Some Engineering Properties to Effectively Support in Choosing of Slope- Reinforcement DesignThis paper presents weathering characteristics of claystone of Subang Formation in relation to weathering grade classification system and changes of some engineering properties. The field observation and rock-soil sampling were located at Southern Karawang area, West Java, where the claystone is distributed widely. Generally, claystone of Subang Formation can be classified into six degrees of weathering. The examination results of some engineering properties, such as unit weight, cohesion, and internal friction angle as basic parameters of slope stability analysis, indicate good relationship with the change of weathering grade. As an implication, by knowing various weathering grades, the planning or choosing of slope-reinforcement-design will be more effective and efficient. 
Foraminifera Distribution Patterns within Sequence Stratigraphy (A Case Study: Blora Area and Surroundings/Low Latitude Area) Khoiril Anwar M.
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 3 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Sari. Analisis stratigrafi sikuen memerlukan data yang menyeluruh dari berbagai disiplin ilmu geologi, termasuk biostratigrafi. Secara hipotesis, biostratigrafi (foraminifera) dapat dijadikan alat untuk mengidentifikasi sikuen. Studi kasus di daerah lintang rendah telah dilakukan dan beberapa parameter seperti asosiasi biofasies, bioevent, kelimpahan, serta keragaman dan komposisi fauna telah dicoba diterapkan untuk mencari pola atau karakteristik tertentu yang dapat dijadikan alat untuk mengidentifikasi sikuen. Peran biostratigrafi foraminifera sebagai alat dalam interpretasi sikuen tampaknya dipengaruhi oleh lingkungan tempat endapan sedimen ditemukan. Pada endapan laut dangkal, meskipun resolusi umur kurang baik, batas sikuen, komponen sikuen, dan beberapa horizon dalam sikuen akan lebih dapat dikenali dari pola sebaran foraminiferanya sebaliknya, pada laut dalam, meskipun resolusi umur akan lebih baik, unsur lain kurang terlihat dengan baik, kecuali bidang condensed section yang berasosiasi dengan maximum flooding surface. Foraminifera Distribution Patterns within Sequence Stratigraphy (A Case Study: Blora Area and Surroundings/Low Latitude Area)Abstract. The approach in sequence stratigraphy analysis needs data from multi-discipline including biostratigraphy. Hypothetically, it indicates that biostratigraphy (foraminifera) can be used as a tool to identify a sequence. A case study at low latitude area has been done and some parameters such as microfauna assemblage, bioevent, abundance, diversity, and fauna composition have been applied to find some characteristics which could be used as a tool to identify sequence stratigraphy. Biostratigraphy as a tool seems to be influenced by the environment where the sediments are deposited. In shallow marine, where the age resolution is not very good, the sequence boundary and maximum flooding surface (MFS) are still easy to identify. On the contrary, in deep marine setting, biostratigraphy can be used to date the age and identify the condensed section which is associated with maximum flooding surface (MFS). 

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