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Jurnal Matematika
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 6 Documents
 1 
Search results for , issue "JURNAL MATEMATIKA NO 3 2016" : 6 Documents clear
PENYELESAIAN MASALAH PROGRAM LINIER FUZZY DENGAN BILANGAN FUZZY MENGGUNAKAN METODE SABIHA LINEAR REAL Eky Pawestri Gita Asmara
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. Fuzzy Linear Programming (FLP) is one form of a linear programming that includes fuzzy numbers. Several methods have been developed to solve the FLP problems, one of which Sabiha’s Methods. The method is modifying Two Phase Methods such that it can be used in the FLP. Modification is done by changing the general form to be adjusted with the "triplet matrix", such that the one matrix of the triplet matrix is divided into three single matrix. The method is using Linear Fuzzy Real Numbers (LFR). There are also Kumar’s Methods were also modify Two Phase Methods. The comparison of the Sabiha’s Methods with Kumar’s Methods is resulting the same optimal solution and value in the form of fuzzy but there is a different in the form of crisp. 
METODE IMPROVED EXPONENTIAL APPROACH DALAM MENENTUKAN SOLUSI OPTIMUM PADA MASALAH TRANSPORTASI Dimas Alfan Hidayat1
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. Metode Exponential Approach merupakan metode baru yang diusulkan oleh Vannan dan Rekha untuk mendapatkan solusi optimal pada masalah transportasi. Tugas akhir ini menunjukan bahwa Metode Exponential Approach dapat di perbaiki menjadi Metode Improved Exponential Approach. Pada beberapa masalah transportasi tidak seimbang, solusi yang diberikan metode perbaikan ini lebih baik dibandingkan metode sebelumnya. Prosedur dalam mendapatkan solusi dijelaskan dalam simulasi numerik. Selanjutnya dibandingkan antara Exponential Approach, Improved Exponential Approach dan VAM-MODI pada contoh kasus di PT. Jasa Prima Logistik Bulog (JPLB) Cabang Jawa Tengah. Perhitungan menghasilkan pendapatan yang lebih optimum diperoleh metode Improved Exponential Approach dan VAM-MODI dibanding metode Exponential Approach, namun dalam perolehan keuntungan metode Exponential Approach memberikan keuntungan yang paling maksimum yaitu menaikan keuntungan PT.JPLB sebesar 14,89%. 
MASALAH TRANSPORTASI FUZZY BILANGAN TRAPEZOIDAL DENGAN METODE ZERO POINT Endang Listyanti Pratiwi
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

                                           ABSTRACT. A fuzzy transportation problem is a transportation problem in which the transportation cost, supply and demand quantities are fuzzy numbers. For solving fuzzy transportation problem, the parameter in fuzzy number must be converted to a crisp number. This thesis explores Zero Point method for finding a fuzzy optimal solution for a fuzzy transportation problem where the parameters are trapezoidal fuzzy numbers. Roubast Ranking is used for assertion of trapezoidal fuzzy numbers. To determine the optimal solution of fuzzy transportation problem with Zero Point method can be solved in two ways and from that will be obtained the same solution.  
MODEL PERTUMBUHAN EKONOMI MANKIW ROMER WEIL DENGAN PENGARUH PERAN PEMERINTAH TERHADAP PENDAPATAN Desi Oktaviani
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. Mankiw Romer Weil model is one of economic growth model. In this paper, we will present a Mankiw Romer Weil economic growth model development with role of government influence on income. Furthermore, invesment on human capital and physic capital expenditure is from net income and no longer using gross income. Net income represents the amount of money remaining after all operating expenses have been deducted from gross income by government.  A three sector closed economy model is constructed by adding government sector to the two sector closed economy which consist of household and business sector and there is no international trade. Analysis of steady state in Mankiw Romer Weil economic growth model with role of government influence can be obtained one equilibrium point for human and physic capital per effective labor. Then,this model are analyzed to determine the stability of the equilibrium point. The stability of the equilibrium point criteria is based on eigenvalues from Jacobian matrix and we show that eigenvalues of Jacobian matrix are real, distinct and negative so the equilibrium point is asymptotically stable. Keywords :
ANALISA KESTABILAN MODEL MATEMATIKA UNTUK PENYEMBUHAN KANKER MENGGUNAKAN ONCOLYTIC VIROTHERAPY Via Novellina Via Novellina
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 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
MODEL OPTIMASI LINIER DETERIORATION OF DETERMINISTIC DEMAND DENGAN STRATEGI PEMASARAN DUA VERSI PRODUK Wahyu Condro Kurniawan MS
Jurnal Matematika JURNAL MATEMATIKA NO 3 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. There is a condition where is the price of a product is not appropriate with consumen desirability because the quality of product is incompatible or market segment is not quite fit with the quality of the product due to competition with another trademark that will impact on demand. In this undergraduated thesis investigate about Linier Deterioration of Deterministic Demand optimization model  with two versions of the product marketing strategy which is a model to solve determination price problem and optimal quantity of deluxe products and regular products. An example of problem taken from one food product satu green beans “Bu Ati” use to describe the mechanism of model in determining the optimal policy and appropriate.   

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