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ANALISIS MODEL ANTRIAN PADA PADEPOKAN SILATURAHMI SEMARANG Minarsih, Minarsih; Tjahjana, Heru
Jurnal Matematika Vol 2, No 1 (2013): JURNAL MATEMATIKA
Publisher : Jurnal Matematika

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Abstract

AbstrakProses antrian adalah suatu proses yang berhubungan dengan kedatangan seorang pelanggan pada suatu fasilitas pelayanan, kemudian menunggu dalam suatu baris (antrian) apabila semua pelayannya sibuk, dan akhirnya meninggalkan fasilitas tersebut setelah memperoleh pelayanan. Proses antrian dapat terjadi dimana saja, termasuk di Padepokan Silaturahmi Semarang. Padepokan Silaturahmi pada waktu-waktu tertentu dihadapkan pada situasi dimana pasien yang datang tidak dapat dilayani secara langsung sehingga pasien harus menunggu dan terjadi penumpukan pasien. Oleh karena itu, diperlukan penerapan teori antrian pada sistem pelayanan di Padepokan Silaturahmi. Dari hasil analisis, model antrian yang digunakan di Padepokan Silaturahmi adalah Multi Channnel Single Phase dimana sistem antrian yang terdapat pada tahap pembekaman untuk laju kedatangan berdistribusi Poisson dan laju pelayanan berdistribusi Eksponensial. Model antrian terbaik pada sistem pelayanan Padepokan Silaturahmi yaitu (M/M/2) : (GD/∞/∞) untuk hari Senin sampai dengan Minggu.Kata kunci : Proses antrian, sistem antrian, model antrian, Padepokan Silaturahmi.
Solving a system of linear equations by QR Factorization Method for Temperature and Altitude Regression Model against Spontaneous-Potential Widowati, Widowati; Setyawan, Agus; Mustafid, Mustafid; Nur, Muhammad; Sudarno, Sudarno; Harmoko, Udi; Adhy, Satriyo; Gunawan, Gunawan; Subagio, Agus; Tjahjana, Heru; Sulpiani, Ririn; Riyanto, Djalal Er; Suhartono, Suhartono; Mukid, Mochammad Abdul; Suseno, Jatmiko Endro
JURNAL SAINS DAN MATEMATIKA Volume 22 Issue 3 Year 2014
Publisher : JURNAL SAINS DAN MATEMATIKA

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Abstract

Many real problems can be represented in the form of multiple linear regression equation. One of those is the relationship between the variables of temperature and altitude of the spontaneous-potential. In order to determine the parameters of the regression equation, the least squares method was used. From here, there was obtained the system of linear equations. In this paper, to solve systems of linear equations, the exact method was used as the exact solution is certainly better than the approached solution. The method used was the QR factorization method. At the QR factorization, the system of linear equations was written in form of matrix equation. Then, the coefficient matrix which the number of rows is m and number of columns is n with linearly independent columns was factored into the matrix Q which has the same size with the matrix A, with orthonormal columns and matrix R was upper triangular. Furthermore, by backward substitution, it could be obtained the exact solution of linear equation system. As verification of this proposed method, a case study was given using data of temperature, altitude, and spontaneous-potential in the geothermal manifestations area, Gedongsongo, Mount Ungaran Semarang. From here, it was obtained the parameters of exact multiple linear regression model which states the relationship between temperature and altitude toward the spontaneous-potential.
Pengaruh Penggunaan Binder terhadap Densitas dan Kalor Pembakaran Briket dari Limbah Sagu Widiyandari, Hendri; Setiabudi, Wahyu; Subagio, Agus; Haryanti, Sri; Siahaan, Parsaoran; Tjahjana, Heru
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 3, No 02 (2013): IJAP VOLUME 03 ISSUE 02 YEAR 2013
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v3i02.1270

Abstract

Biomass fuel such as briquette is one of an alternative energy regarded to the shortage of the fosil fuel and rising its prices. The byproduct of sago starch industry is the waste that remain the environmental problem because of the odor. However this agricultur waste such as trunk cortex and fibre has a potential application as a raw material for briquette.The fibre and trunk cortex act as matrix material of briquette. The utilizing of sago waste as a biomass briquette and the effect of ratio of matrix/binder to the density, time of compustion and gross heat of the briquette have been elucidated sistematically. The analyzing of gross heat using adiabatic calorimetry indicated that the briquette prepared with the ratio of binder/matrix of 3:4 (mass ratio) had the maximum value of 3929.5 kal/g. The duration of combusion was proposional with density of the briquette.
PELABELAN TOTAL SUPER TRIMAGIC SISI PADA BEBERAPA GRAF Utomo, R. Heri Soelistyo; Tjahjana, Heru; Irawanto, Bambang; Ratnasari, Lucia
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018): Journal of Fundamental Mathematics and Applications
Publisher : Department of Mathematics, Faculty of Science and Mathematics, Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (981.812 KB) | DOI: 10.14710/jfma.v1i1.4

Abstract

Abstract. This paper is addressed to discuss the edge super trimagic total labeling on some graphs which are corona, double ladder, quadrilateral snake and alternate triangular snake. The main results are the edge super trimagic total label for these graphs. Furthermore, it was prove that corona is a graph with edge super trimagic total labeling, a double ladder with odd ladder is graph with edge super trimagic total labeling, quadrilateral snake is a graph with edge super trimagic total labeling and finally an alternate triangular snake with odd ladder is graph with edge super trimagic total labeling. Abstrak. Dalam artikel ini, dibahas pelabelan total trimagic sisi untuk beberapa graf yaitu graf korona, graf double ladder, graf quadrilateral snake dan graf alternate triangular snake. Hasil utama dalam artikel ini adalah hasil-hasil pelabelan total trimagic sisi untuk graf-graf tersebut. Lebih lanjut, telah dibuktikan bahwa graf korona merupakan graf dengan pelabelan total trimagic sisi, graf double ladder dengan banyak ladder genap merupakan graf dengan pelabelan total trimagic sisi, graf quadrilateral snake merupakan graf dengan pelabelan total trimagic sisi, dan terakhir, graf alternate triangular snake merupakan graf pelabelan total trimagic sisi untuk banyak triangular genap.