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Jurnal Matematika
Published by Universitas Diponegoro
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Articles 15 Documents
Search results for , issue "Vol 3, No 4 (2014): JURNAL MATEMATIKA" : 15 Documents clear
PELABELAN GRACEFUL SATU MODULO PADA BEBERAPA GRAF EULE Isa Isa; Lucia Ratnasari
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. A graph  with  edges is said to be one modulo  graceful graph () if there is a injective function from vertex set of graph  to  in such a way that  induces a function  from edge set of graph  to  defined as  is bijective.  In this Last Project, the following Euler graphs : n-polygonal snakes,  and  under certain conditions which admit one modulo  graceful labeling () are learned.  
Penerapan Metode Program Linear dan Analisis Sensitivitas Pada Optimalisasi Produksi Jenang Karomah (Studi Kasus Pada PJ.Karomah Kudus) Novita Hariyani; Bambang Irawanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. Optimalisasi produksi Jenang Karomah PJ.Karomah Kudus menjadi sebuah hal yang penting untuk memaksimalkan laba dengan cara mengoptimalkan penggunaan bahan baku. Program linear dengan metode simpleks adalah metode yang tepat untuk mengetahui jenang varian manakah yang memberikan keuntungan yang paling maksimal. Analisis sensitivitas dilakukan untuk batas – batas perubahan nilai pada fungsi tujuan maupun fungsi kendala, dengan tetap diperoleh tujuan yang optimal. Metode enumerasi implisit digunakan untuk mencari solusi optimal pemilihan memasak jenang yang sesuai dengan keadaan nyata di lapangan. Pengoptimalan produksi Jenang Karomah dengan program linear menghasilkan Jenang Sirsak, Jenang Mellon Strawberry, dan Jenang Durian memberikan keuntungan yang paling optimal dalam 1 kali periode memasak jenang dengan 60,0005 kg Jenang Sirsak, 9,9995 kg Jenang Mellon Strawberry, 175 kg Jenang Durian. Setelah dihitung dengan integer programming didapatkan solusi bahwa jenang yang dimasak dalam satu periode memasak untuk menghasilkan yang paling optimal adalah Jenang Wijen, Jenang Sirsak, Jenang Ketan Hitam, Jenang Kacang Hijau, Jenang Coklat Susu, Jenang Mellon Strawberry dan Jenang Durian yang apabila jenang-jenang tersebut dimasak dalam 1 periode memasak akan menghasilkan laba sebesar Rp. 2.162.834,00.  
PERBANDINGAN METODE TRUST-REGION DENGAN METODE NEWTON-RAPHSON PADA OPTIMASI FUNGSI NON LINIER TANPA KENDALA Yully Estiningsih; farikhin farikhin
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Optimization is the best decision of  the objective functions for  produce a satisfactory solution. Optimization of multi variables unconstraints is to optimize the the objective functions which contains multi variable function freely without any specific requirements that restrict its function. Trust-Region methods methods is used to optimize multi variables unconstraint , Trust-Region methods quadratic approach of optimizing non linear the objective functions with a certain radius as the limit of the step size according to the quality of the approach. Newton-Raphson methods is a root search method with the the objective functions approaches a point, where the objective functions has a derivative. In this final will be talking about Trust-Region methods will compared with Newton-Raphson methods, and rendered example problem in which only be solved using Trust-Region methods.Keywords : Trust-Region Methods, Optimization, Newton-Raphson Methods 
MODEL MATEMATIKA UNTUK MENDETEKSI DIABETES MELLITUS TIPE Debora C Sihombing; Kartono Kartono
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

  Diabetes Mellitusis a disease causedby a deficiency ofthe insulin hormone,, resulted concentrationina person's bloodsugaris highbecausesugarin the bloodcan not be usedby the body. Detection ofdiabetesmellituscan be constructedin the form ofmathematicalmodelstoform adifferentialequation. The equations ofthe differential model is asystem ofnonlineardifferentialequationswithtwovariables. The modeltakesthe form ofsystematicnonlinearlinearization. LinearizationperformedbyTaylor seriesapproach. Toillustratethe modelsimulationby givingthe values ofthe calibrationparameters areprocessedby thesolvertools and obtainedtoindicatethe patient'snaturalperiodwithin thenormalglucoseislessthan4hours.Keywords: diabetesmellitus, oscillations, solvertools, linearsystem. 
SEMIGRUP- INTRA-REGULAR DAN KETERKAITANNYA DENGAN BI-IDEAL,QUASI-IDEAL, SERTA IDEAL KANAN DAN KIRI Meiliana Purwandani; YD Sumanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 . A -semigroup is generalization from semigroup, which concepts in -semigroup analogue with concepts in semigroup. is called a -semigroup if there is a mapping between two nonempty sets  and , written as , such that , for all  and . A -semigroup is said to be intra-regular if contains for all elements of intra regular, is if , for all  and . In this paper, discussed about intra-regular -semigroup and the relation based on bi-ideals, quasi-ideals, and ideals right and left. 
SUATU KAJIAN PADA BCI-ALJABAR YANG TERKAIT DENGAN SIFAT DERIVASI KIRI Carolin Carolin; farikhin farikhin
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Setiap-Derivasi kiri pada BCI- Aljabar X dapat dikatakan regular jika hasil derivasinya sama dengan nol atau setiap X idealnya merupakan D-invarian. Suatu himpunan dikatakan ideal pada X dengan -ideal jika , hal serupa dengan (-ideal jika ). Selain itu, himpunan  dikatakan ideal pada X dengan D-invarian jika. - Derivasi kiri BCI- Aljabar positif semisederhana merupakan hasil operasi biner antara endomorfisma dengan derivasinya. Himpunan  dikatakan torsi bebas BCI-aljabar jika kuadrat derivasinya atau komposisi derivasi pertama dan derivasi kedua sama dengan nol.Kata kunci :BCI-aljabar, BCI-aljabar p-semi sederhana, -Derivasi kiri,        D-invarian
SIFAT DISTRIBUTIF MATRIKS IDEMPOTEN DAN APLIKASINYA PADA DETERMINAN MATRIK Nur Cahyo Ari Kusuma
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK.Sebuah matriks dikatakan idempotenapabila matriks tersebut dikalikan dirinya sendiri akan membentuk matriks itu sendiri. Operasi distributif dari matriks idempoten berlaku di dalam sifat komutatif dengan  dan terdapat matriks identitas sehingga didapat operasi distributif dari matriks idempoten yang dapat diaplikasikan pada determinanKata kunci : Citra, Tepi, Operator Gradien, Operator Lapcaian
OPTIMALISASI SISTEM ANTRIAN PELANGGAN PADA PELAYANAN TELLER DI KANTOR POS (STUDI KASUS PADA KANTOR POS CABANG SUKOREJO KENDAL) Diyan Mumpuni; Bambang Irawanto
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

ABSTRAK. The problem occurs because there is a queue length of the queue at service facilities, or the presence of maids who are unemployed at the time of service due to vacancy queue. Services providers that can not be separated from the issue queue is the Post Office. queuing theory is used to determine the queuing model that can represent the state at the service counter, and to optimize the service time at the service counter. Queuing model of optimal service counter at the Post Office is  model queue. The highest number of customer arrivals during the study time on each date that is 20, if  model is applied on these days can lead to a buildup of the queue, so the queue model is used to optimally serve the customer every 20 is  model queue.   
ANALISIS HUBUNGAN ANTARA PERSAMAAN RICCATI DAN PERSAMAAN INTEGRAL VOLTERRA TIPE DUA AnasKhairur Rijal Rijal; djuwandi djuwandi
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

In this paper, a method for finding solution of the Riccati equation is introduced. The Riccatiequation is the first order inhomogeneous nonlinear ordinary differential equation (ODE) that can always be transformed into a second order homogeneous linear ODE. Since, every initial value problem (IVP) of the second order linear ODEs can be transformed into a Volterra integral equation (IE) of the second type, evaluate this equation by approximate technique by means, the approximate solution of the Riccati equation can be found. The approximate technique of the Voterra IE has been describe before, is based on the Taylor series expansion and it’s modification of the method. Behind the Cramer’s rule, an approximate solution of the 2nd type Volterra IE is easily can be determine and so, the approximate solution of the Riccati equation can be found. Test example is given to get conclusion about accuracy of the method.
ANALISIS KEPADATAN LALU LINTAS DI PERLIMAAN JALAN (STUDI KASUS DI JALAN SOEKARNO HATTA-TLOGOSARI-SUPRIYADI-MEDOHO) Ignatia Yolanda Yolanda; Kartono Kartono
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Pengaturan traffic light di persimpangan jalan diperlukan untuk mengatur kelancaran arus lalu lintas, namun faktanya sering terjadi penumpukan pengguna jalan pada suatu ruas jalan tertentu. Sebagai contoh kondisi arus di persimpangan Jalan Soekarno Hatta-Tlogosari-Supriyadi-Medoho, Kota Semarang sering terjadi penumpukan. Hal ini disebabkan oleh masalah pengaturan waktu tunggu di persimpangan itu, sehingga skripsi ini mengkaji pengaturan waktu tunggu di persimpangan tersebut. Menurut pengamatan salah satu penyebab terjadinya penumpukan tersebut dimungkinkan oleh pengaturan waktu nyala trafficlight. Oleh karena itu, skripsi ini mengkaji perhitungan waktu tunggu dengan mengaplikasikan konsep graf kompatibel. Penerapan konsep graf kompatibel ini untuk melakukan simulasi perekayasaan arus lalu lintas dan hasilnya diperoleh waktu tunggu minimal.

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