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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 300 Documents
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PENDEKATAN PEMROGRAMAN MULTIOBJEKTIF INTERAKTIF UNTUK MENYELESAIKAN MASALAH ALOKASI ASET OPTIMAL DAN STUDI KASUS PADA LIMA SEKURITAS DI INDONESIA ., Sutrisno; Munawarroh, Dita Anies
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

. In this paper, we use an interactive multiobjective programming approach to solve an optimal asset allocation problem. This problem contains two objective functions which are function of expected return that will be maximized and function of risk that will be minimized. We gives a case study for this problem to find the optimal asset allocation for five securities in Indonesia. The approachmentthat was used in this paper gives the percentage of each of the given five securities that gives the optimalexpected return and the optimal risk
PENANGANAN MULTIKOLINEARITAS (KEKOLINEARAN GANDA) DENGAN ANALISIS REGRESI KOMPONEN UTAMA Widiharih, Tatik
MATEMATIKA Vol 4, No 2 (2001): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Multikolinearitas yang tinggi diantara peubah-peubah bebas, mengakibatkan pendugaan dengan metode kuadrat terkecil tidak dapat diandalkan, ditandai dengan koefisien regresi tidak nyata dan adanya multikolinieritas. Pendeteksian multikolinearitas dapat dilakukan secara informal salah satunya dengan koefisien korelasi lenear antar peubah bebas maupun dengan cara formal dengan faktor inflasi ragam. Analisis regresi komponen utama digunakan untuk menghilangkan multikolinieritas dan semua peubah bebas masuk dalam model, analisis regresi ini merupakan teknik analisis regresi yang dikombinasikan dengan teknik analisis komponen utama . Analisis komponen utama bertujuan menyederhanakan peubah yang diamati dengan mereduksi dimensinya , hal ini dilakukan dengan jalan menghilangkan korelasi diantara peubah-peubah melalui transformasi . Teknik analisis komponen utama dijadikan sebagai tahap analisis antara untuk memperoleh hasil akhir dalam analisis regresi.
PEMETAAN AREA PELAYANAN DAN JARINGAN PT. PLN (PERSERO) DISTRIBUSI JAWA TIMUR BERDASARKAN GOLONGAN PELANGGARAN PELANGGAN Akbar, Muhammad Sjahid Akbar Sjahid; Amin, Saiful
MATEMATIKA Vol 2, No 8 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

PT. PLN (Persero) East Java Distribution (PLN Jatim) is one of the biggest providing electrics companies in East Java. Electrics is very important need  for people. If PLN experiences some financial losses, then the society will sufter from the impact. One of the causes of PLN losses is the illegal usage of the electricity by some customers.  PLN Jatim has recorded five categories of cutomer violation. The research aimed is to know the position of service area and the network (APJ) based on the violation category. This research uses Cross Tabulation Analysis method and Correspondence Analysis method. The Result shows that Malang and Situbondo’s APJs tend to be A violation category. Mojokerto and Kediri’s APJs tend to be B violation category Banyuwangi, Jember and Pamekasan’s APJs tend to be C violation category. Madiun, Pasuruan and Sidoarjo’s APJs tend to be D violation category. Gresik’s APJs tend to be E violation category.
METODE ASM PADA MASALAH TRANSPORTASI SEIMBANG Septiana, Arum Ryani; Solikhin, Solikhin; Ratnasari, Lucia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The transportation problem is special case on the linear programming which examines the goods’ distribution for minimize shipping cost or maximize profits. In general, transportation problem requires two stages of completion, which is looking for feasible solution first and the look for the optimal solution. Abdul Quddoos, Dr. Shakeel Javaid, and Prof. Mohd Masood Khalid did some research for a new method, ASM method which is direct method with simple and fast way. This method relies on the cell that has the number 0 with the smallest index, and used to minimize transport costs. This final project determines the optimal solution using ASM method, both to mimize costs and maximize profits, and investigate the optimal method of ASM. The solution that obtained by ASM method on balanced transportation problem is always optimal, while for unbalanced transportation problem is not always optimal. The difference between algorithm for minimizing cases and maximize cases lies only in the first step, which is if the maximization case, then change c_ij into(-c_ij ).
PENGAJARAN MATEMATIKA SEKOLAH DENGAN KELOMPOK-KECIL DAN PERSEORANGAN (MODEL KKP) Jaeng, Maxinus
MATEMATIKA Vol 5, No 3 (2002): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Dalam proses pembelajaran di kelas, biasanya terjadi aktivitas guru dan siswa agar terlaksana proses pembelajaran yang efektif dan efisien. Aktivitas kelompok-kecil dan perseorangan, diawali dengan aktivitas kelompok-menyeluruh (kelas). Aktivitas kelompok-menyeluruh digunakan untuk membentuk siswa memperoleh informasi fakta-fakta, gambaran umum, rangkaian-rangkaian komponen yang menyusun basis-pengetahuan (pengetahuan prasyarat plus). Agar terjadi interaksi guru-siswa dan siswa-siswa, maka digunakan model pembelajaran dengan variasi kelompok kecil dan perseorangan (Model KKP). Variasi pembelajaran dengan model KKP dilaksanakan melalui kegiatan sebagai berikut: (1) Kegiatan awal : Guru memberi informasi tentang model pembelajaran, guru mengorganisasikan siswa ke dalam kelompok-kecil (4 orang), menyampaikan TPK, informasi latar belakang pentingnya pelajaran , informasi materi prasyarat, dan memberi motivasi kepada siswa. (2) Kegiaan Inti : Guru menyajikan materi kepada siswa. mendemonstrasi dan memberi tugas latihan terbimbing, selanjutnya memberi tugas latihan mandiri (perseoranan) dan latihan kelompok kecil secara bergantian. Tugas perseorangan pertama untuk memberikan latihan persiapan diri segingga dapat berpartisipasi dalam kelompok. Dalam kelompok kecil ini siswa bekerja bersama-sama mengerjakan tugas lanjutan lain secara kolaboratif. Sesudah kerja sama dalam kelompak, siswa secara perseorangan mengerjakan tugas (kuis) mandiri. Kegiatan ini untuk melihat unjuk kerja siswa secara perseorangan yang akan menjadi sumbangan kepada kelompok danuntuik melihat poin peningkatan perseorangn.
PEMILIHAN ARSITEKTUR OPTIMAL MODEL NN DENGAN METODE KONTRIBUSI INCREMENT Wuryandari, Triastuti
MATEMATIKA Vol 9, No 3 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Neural Network is an information processing system that has certain characteristic in common with biological neural network. In development NN has been many applied in several surface, one of them is for forecasting. For the best application of NN, architecture has determined. One of methode to get optimal architecture NN is incremental contribution methods. This methods will to determine the size of hidden and input cell in the network with excluding respectively. One of the unit cell with a low incremental contribution will be exclution from network. The result shows that the incremental contribution methods is capable reducing the size of the network is propozed, so getting optimal architecture from network.
OPTIMAL GROVES MECHANISM AND OPTIMAL MECHANISM DESIGN Purisha, Zenith
MATEMATIKA Vol 12, No 3 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we will discuss about mechanisms design, the mechanisms used to implement optimal market structure with private fixed cost of N firms. The discussion includes definitions, goal, concepts, basic assumptions of mechanism, properties of feasible mechanism, Revenue Equivalence Theorem, and Groves mechanism. Moreover, we discuss the optimal Groves mechanism and optimal mechanism. There are two things involved in both mechanisms, those are social welfare and tax revenue.  
ANALISA KESTABILAN MODEL MATEMATIKA UNTUK PENYEMBUHAN KANKER MENGGUNAKAN ONCOLYTIC VIROTHERAPY Novellina, Via; Utomo, Robertus Heri Soelistyo; ., Widowati
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Oncolytic virotherapy is one type of cancer treatment using oncolytic virus. In this paper, we will present a mathematical model for treatment of cancer using  oncolytic virotherapy with the burst size of a virus (the number of new viruses released from lysis of an infected cell) and we considering the presence of syncytia which is a fusion between infected tumor cell and uninfected tumor cell. In this mathematical model we introduced the population of uninfected tumor cells which fusion in syncytia. So, in this model contains four population, which are, uninfected tumor cell population, infected tumor cell population, uninfected tumor cell population which fusion in syncytia, and free virus particles which are outside cells. Then, these models are analyzed to determine the stability of the equilibrium points. The stability of the equilibrium points criteria is based on basic reproduction number () and we show that there exist a disease free equilibrium point and a disease endemic equilibrium point. By the Routh-Hurwitz criterion of stability, we prove that the disease free equilibrium point is locally asymptotically stable if  and the disease endemic equilibrium point is locally asymptotically stable if . In this numerical simulations using software Maple we have, if  then the graphic of this mathematical model will reach the disease free equilibrium point, then virotherapy fails. While, if  then the graphic of this mathematical model will reach the disease endemic equilibrium point, then virotherapy success.
SISTEM PENGENDALIAN PERSEDIAAN MODEL PROBABILISTIK "BACK ORDER POLICY" Ernawati, Yusti; sunarsih, Sunarsih
MATEMATIKA Vol 11, No 2 (2008): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

 Inventory represents the amount of reserved raw material to meet demand of consumers in certain period. If the demand is uncertain, the stock cuold be insufficient or becaming excessive. Therefore, it is required to device an optimal inventory rule which concerning all posible factors. In this paper, a probability inventory model with constraint will be applied on a case of back order policy. The constrains considered are budget constraint and storage capacity constraint. Lagrange Multipliers method with Kuhn-Tucker condition will be used to solve the model. Using this model, the company can determine the order quantity (Q), reorder point (r) and safety stock (Ss) at the optimal point by accomodating purchasing budget and storage capacities of existing raw material. The result of comparison study between this model with the inventory policy by company shows that this model is able to gives an optimal solution. So applying the model, the company is able to save inventory cost 2,42 % every year with consideration storage area capacities.  
SISTEM INFORMASI GEOGRAFIS PENCARIAN RUTE OPTIMUM OBYEK WISATA KOTA YOGYAKARTA DENGAN ALGORITMA FLOYD-WARSHALL Saputra, Ragil
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The Information system based on spatial or Geographic Information System (GIS) is growing faster. GIS can be used to solve many problems, one of the solutions that GIS could address is for look optimum route base on start location and destination. By using GIS, user can get visual information. This research is implementing Floyd-Warshall algoritm for optimize route in Yogyakarta. Floyd-Warshall algoritm is part of dynamic programming which used for seek shorthes paths for every node/ verteks. The result of GIS application, it can beimplemented to determine the shortest path. The optimum shortes path information can help us to go to our destination faster.

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