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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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PENGGUNAAN BEBERAPA TEORI MATRIKS DALAM TEORI GRAF Amir, Amir Kamal
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In a simple graf G, two veritces u and v are called adjacent in G if {u,v} ia an edge of G. The adjacency matrix A of G is the n x n zero-one matrix with 1 as its (i,j)th entry when vi and vj are adjacent, and 0 as its (i,j)th entry when they are not  adjacent. In this paper will be described the characteristic of characteristic polynomial of a graph. Moreover, the relationship between the characteristic polynomial of a graph with characteristic polynomial of its subgraph will also be outlined. In addition, will also be described the shape of eigenvalues and eigenvectors of certain graph.
STRATEGI DASAR PENGENDALIAN MULTI ROBOT APUNG DAN MANFAATNYA Tjahjana, Redemtus Heru
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

This paper describes floating multi-robot control strategies. Exposure starts from inspiration and the use of floating multi-robot in daily life, especially in the industrial world. Furthermore, with the model of multi-robot and functional model that describe the state of the cost to be met the floating robots, floating multi-robot control designed with optimal control strategy. The design of optimal control is done through the Pontryagin Maximum Principle, brings the model to a system of equations consisting of state equations and costate equations. In the system of states equations, each having initial and final condition, in the costate equations system has no requirements at all. The next problem is converted to the initial value problem and search for the approximate initial condition equation of state auxiliary systems which has no requirements using a modified method of steepest descent. Thus, the control of multi-robot successfully performed and the simulation results presented on the results and discussion.
FUZZY MODEL BASED SOLVING NONLINEAR SYSTEMS WITH CASE STUDY OF TRUCK-TRAILER SYSTEM sasongko, priyo Sidik; indriyati, Indriyati; sarwoko, Eko adi
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

 In this paper, we consider the fuzzy controller problem for nonlinear system using fuzzy models. The controller is constructed using a design model of the dynamical process to be controlled. The design model obtained from the truth model using a fuzzy modeling approach. The Takagi-Sugeno fuzzy model is adopted for fuzzy modeling of the nonlinear system. The truth model represents a detailed description of the process dynamic. The model is used in a simulation to evaluate the performance of the controller design. Stabilization of the closed-loop discrete Takagi-Sugeno systems using the well-known PDC (Paralel Distributed Compensation) technique is investigated. The design procedure we adopt is to convert the design of the controller to a Linear Matrix Inequality (LMI) problem so that the stability of the whole system can be assured.  
Perbandingan Grafik Pengendali Moving Average dan Geometric Moving Average pada Data Berkelompok sudarno, sudarno
MATEMATIKA Vol 7, No 3 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Untuk mengetahui proses produksi sudah memenuhi standar mutu dapat menggunakan grafik pengendali mutu. Pemilihan dan penggunaan metode pengendali mutu yang benar akan menghasilkan keputusan yang optimal. Dalam tulisan ini akan dibandingkan dua metode untuk perubahan nilai yang kecil, yaitu grafik pengendali moving average dan grafik pengendali geometric moving average pada masalah kekentalan cat. Dengan mengetahui sifat-sifat yang dihasilkan oleh masing-masing grafik tersebut dan membandingkannya, maka dapat dipilih salah satu dari metode tersebut lebih baik dari metode lainnya. Sehingga metode yang lebih baik itu diharapkan dipakai pada masalah yang serupa, agar didapat keputusan yang lebih akurat.
METODE URUTAN PARSIAL UNTUK MENYELESAIKAN MASALAH PROGRAM LINIER FUZZY TIDAK PENUH Jiwangga, Sesar Sukma; Irawanto, Bambang; Djuwandi, Djuwandi
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Not fully fuzzylinear programming problem have two shapes of objecyive function. that is triangular fuzzy number and trapezoidal fuzzy number. The decision variables and constants right segment only has a triangular fuzzy number. Partial order method can be used to solve not fully fuzzy linear programming problem with decision variables and constants right segment are triangular fuzzy number. The crisp optimal objective function value generated from the partial order method.
OPTIMASI PRODUKSI DAN PENGENDALIAN BAHAN BAKU STUDI KASUS PADA PT. JOSHUA INDO EXPORT Susanto, Tedy; Sarwadi, Sarwadi
MATEMATIKA Vol 9, No 1 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Production optimization and inventory control on raw materials are among the main problem in company’s management. These two issues are the subjets of this article. This article is a case study on a furniture exporter company PT.Joshua Indo Export, where the data was collected. The aim of this article is to compare the policy in the production and inventory control on raw materials in the company with the one which is the result of its optimization. We use Economic Order Quantity (EOQ) model to optimize the production and inventory control on raw materials in the company. The computation and the analysis produce a policy which show that there are some saving in the cost of production and the inventory compared with the currently implemented policy.  
MODEL PERAMBATAN PANAS PADA PROSES PENGERINGAN BALOK KAYU Cahyono, Edi; Solekan, Solekan
MATEMATIKA Vol 6, No 3 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Tulisan ini membahas aplikasi persamaan panas pada proses pengeringan balok kayu, yang sering digunakan pada industri mebel. Solusi dari model ini dapat digunakan untuk memprediksi panas di pusat balok. Informasi ini penting untuk menentukan efisiensi proses pengeringan di ruangan pengering (kiln chamber), yaitu untuk menjawab kapan proses ini dari sudut pandang kualitas dan ekonomi dapat dihentikan. Meneruskan proses yang sudah cukup, akan mengeluarkan banyak energi, yang meningkatkan biaya. Sedangkan menghentikan proses di mana kayu belum cukup kering akan mengakibatkan kayu bengkok setelah beberapa lama. Kalau hal ini terjadi, akan sangat menurunkan kualitas mebel yang dihasilkan, khususnya mebel dengan ukiran yang berkualitas tinggi.  
KESTABILAN SISTEM KONTROL JARINGAN TERHADAP WAKTU TUNDA br. Ginting, Juliana; widowati, widowati
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. In this paper, we proposed the stability analysis of networked control system with time delay. Delay in a network is something that can not be avoided when transmitted digital data over control devices. Network control system is discussed here consists of clock driven sensor, event driven controller, actuator, and plant. In the network control system usually contains delays and sampling period with effect the system stability. Stability region in a network control system can be represented through the relationship between Maximum Allowable Transfer Interval and sampling period.
BANACH LATTICE YANG MEMUAT cO Farikhin, Farikhin
MATEMATIKA Vol 10, No 2 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let Banach lattices E and F. Lattice homomorphism T : E ® F is called lattice embedding if there exists positive numbers m and n such that  for all xÎE implies m.|||| £ ||T()|| £ n.||||. In others word, Banach lattice E is said to be lattice embeddable in F if there exist closed subspace F0 Í F such that F0 and E are lattice isomorphic. As well known that dual space of E is Levi-s, i.e.     sup{ / n = 1, 2,...} in E* exist for every increasing bounded (in the norm) sequences { / n = 1, 2,...} in E*. If sequences space c0 is lattice embeddable in E* then sequences space l¥ is lattice embeddable in E*, within E* is dual space of E. This theorem is proven by Groenewegen in [4]. For Levi-s Banach lattice E, we proof that sequences space c0 is lattice embeddable in E if only if sequences space l¥ is lattice embeddable in E.  
SEMIGRUP – Γ YANG DIBANGKITKAN DARI SUATU SEMIGRUP Sumanto, Y.D
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Every Element on semigroup   can be regarded as binary operation on . Furthermore every element semigroup  can be defined a binary operation on , if   is set of binary operation that is defined from element semigroup , then  can be formed become semigroup .

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