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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Articles 7 Documents
Search results for , issue "Vol 17, No 1 (2014): Jurnal Matematika" : 7 Documents clear
PROGRAM PECAHAN LINEAR Endarwati, Erlin Dwi; Khabibah, Siti; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

. Linear Fractional Programming (LFP) problem is general form of Linear Programming (LP) problem. LFP problem arise when there is requirement to optimalize the efficiency of some activity. The efficiency related to the most productive way to use the scarce resources. Many method have been published to solve LFP problem. In this final project explained two methods, Charnes-Cooper’s method and Hasan-Acharjee’s method. The both method use a transformation to change LFP problem become LP problem, then solved by simplex method. Finally, it is concluded that there is comparison that the Charnes-Cooper’s method can be applied in all of LFP form which the set of feasible solutions is non-empty and bounded, but the formed LP becoming more complex than Hasan-Acharjee’s method. Hasan-Acharjee’s method cannot be used when the constanta of denominator in objective function is zero.
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.
KESTABILAN MODEL SUSCEPTIBLE VACCINATED INFECTED RECOVERED (SVIR) PADA PENYEBARAN PENYAKIT CAMPAK (MEASLES) (Studi Kasus di Kota Semarang) Haryati, Melita; ., Kartono; ., Sunarsih
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Measles is the disease that caused by paramixovirus that infected to the humans by direct contact with infected person. Measles in Semarang was still as endemic disease. The aim of this study is analyze the SVIR (Susceptible Vaccinated Invected Recovered) model of the spread of Measles. This model is a system of nonlinear differential equation which solved by numerical solution with Euler’s method. The study use the data from Semarang Health Department, from the SVIR model generated , disease free equlibrium . If the vaccination rate is increasing, so susceptible people will be decreased and increasing the recovered people. Based on the result of analysis SVIR model in the strategy to control the spread of Measles can be done by developing the program of Measles’ vaccination.
PELABELAN GRACEFUL SISI-GANJIL PADA GRAF WEB W(2,n) Rizky, Putri Dentya; Ratnasari, Lucia; ., Djuwandi
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let G = (V(G),E(𝐺)) be a graph with vertex set 𝑉(𝐺) and edge set 𝐸(𝐺). Assume that graph G have 𝑞 edge. Graceful edge-odd labeling is a bijective map  𝑓 ∶ 𝐸(𝐺) →  {1, 3, 5,…,2𝑞 – 1} that resulting map 𝑓+ : 𝑉(𝐺) → {0,1,2,…,2𝑞 −1} with  such as obtained different edge label. Graph G ia called Graceful edge-odd labeling if there is graceful edge-odd labeling on G. Let  and  are two cycle graph with vertex set  and . Graph  is obtained by conected every vertex from  to   such as we have edge  Graph Web W(2,n) is a graph obtained by adding a pendant edge on each outer cycle vertex from graph . In this paper we will discussed about Graceful edge-odd labeling on Web (2,𝑛) graph and we have that Web W(2,𝑛) graph is graceful edge odd graph for n odd.
HIMPUNAN BILANGAN BULAT NON NEGATIF PADA SEMIRING LOKAL DAN SEMIRING FAKTOR Fatimah, Meryta Febrilian; Puspita, Nikken Prima; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let commutative Semiring S. Ideal on Semiring S defined in the same way with the Ideal on the ring. On Semiring  there are special Ideals such as -ideal, -maximal Ideal and -ideal. Semiringwith a unique -maximal Ideal is called local Semiring. In This paper we will discussed that from non negative integer  we can determined a local Semiring and quotient Semiring.
MODEL DINAMIKA PENYEBARAN DBD DENGAN MENERAPKAN TIGA STRATEGI PENGENDALIANNYA ., Kartono; Djuwandi, Djuwandi; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The information of the dynamic of dengue fever is needed to build the model of its controlling strategy. Therefore, this research is aimed to develop a mathematical model such that the effectiveness of several controlling strategy for example 3M campaign, treatment to the infected people, andthe applying ofinsecticide can be evaluated. This mathematical model is constructed by classifying the human population into three class that are Suspectible (S), Infected (I) and Removed (R) while the vector population (aedes aegypti mosquito) is assumed belongs to the Infected (I) class. The effectiveness of the controlling strategy is analyzed using maximum Pontryagin principle. The result of this analysis shows that the 3M campaign affects the size of the suspect population.
ANALISIS KESTABILAN MODEL DINAMIK ALIRAN FLUIDA DUA FASE PADA SUMUR PANAS BUMI Utomo, Robertus Heri Soelistyo; ., Widowati; Tjahjana, Redemtus Heru; Niswah, L
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper is discussed about the analysis of the stability of fluid flow dynamical model of two phases on the geothermal wells. The form of the model is non-linear differential equation. To analyze the local stability around the equilibrium point, first, the non linear models of is linearized around the equilibrium point using Taylor series. Further, from linearized model, we find a Jacobian matrix, where all of the real eigen values of the Jacobian matrix are zeros. So that the behviour of the dynamical system obtained around the equilibrium point is stable.  

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