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Item PENYELESAIAN MASALAH TRAVELING SALESMAN DENGAN PEMROGRAMAN DINAMIK(2012-10-14) Mustafsiroh; Gamal, M. D. H; Natsir, M.Traveling salesman problem ia a problem in graph theory. This problem can be solved by enumurating all possible Hamilton circuit. Then we calculate the length of rute of each circuit, and then we choose the shortest circuit. For a large n, many of Hamilton circuits are examined. We discuss traveling salesman problem using dinamic programming to find optimal solution.Item MEMBUKTIKAN KETAKSAMAAN ERDŐS-MORDELL DENGAN MENGGUNAKAN JARAK BERTANDA(2012-10-14) Wahidah, Riva Atul; Mashadi; HasriatiWe discuss prove the Erdős-Mordell Inequality. We will use signed distances from the sides of a triangle to prove that Erdős-Mordell Inequality not only to interior point of triangle, but also to exterior point of triangle. Here we detail a method proposed by Dergiades, N. Forum Geom. 4: 67–68 (2004).Item KOMBINASI PENAKSIR RASIO UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK SEDERHANA MENGGUNAKAN KOEFISIEN REGRESI, KOEFISIEN KURTOSIS DAN KOEFISIEN VARIASI(2013-03-13) Ardhi, Defil; Firdaus; Sirait, HaposanThis paper discussed combining ratio estimators in simple random sampling using coefficient regression, coefficient kurtosis, coefficient variance suggested by Kadilar and Cingi [4]. These estimators are biased there for the Mean Square Error is calculated for each estimators to obtain is most efficient estimator. This comparison shows that the combining ratio estimators is more efficient than the ratio estimator it selfItem METODE FINITE DIFFERENCE INTERVAL UNTUK MENYELESAIKAN PERSAMAAN PANAS(2013-03-13) W.A, Mardhika; Syamsudhuha; AziskhanThe aim of this paper is to solve a heat equation by using Interval Finite Difference method. The method is the modified form of Finite Difference Method which includes the error terms of the corresponding conventional method. It gives a solution in interval form which consists all of the possible numerical errorItem PENAKSIR RASIO YANG EFISIEN UNTUK RATA-RATA POPULASI MENGGUNAKAN KOEFISIEN REGRESI ROBUST PADA SAMPING ACAK SEDERHANA(2013-03-16) Morika, Mia Okto; Adnan, Arisman; Sirait, HaposanThe ratio estimators proposed by Kadilar, Candan and Cingi [4] for the population mean in simple random sampling using robust regression has been reviewed. This robust regression is defined by Huber M-estimators. These estimators are biased so that the Mean Square Error is calculated for each estimators to obtain which one is more efficient. This comparison shows that the ratio estimator involving of coefficient curtosis the more efficient then othersItem MENGHITUNG DETERMINAN SUATU MATRIKS DENGAN MENGGUNAKAN METODE CORNICE(2013-03-16) Gusriansyah; Gemawati, Sri; Sirait, Asli݊ × ݊ (݊ ≥ 5) matrices by reducing their sizes by four, it is known as the Cornice Method. A determinant of matrices with the exception of the first and the last entries, the entries of the 2nd row and (݊ − 1) − ݐh row, as well as the 2nd column and (݊ − 1) − ݐh column are all zero. This called “Cornice Determinants” and note as |ܥ× |(݊ ≥ 5). To obtain the form of this Cornice MaItem PENAKSIR RASIO UNTUK RATA-RATA POPULASI MENGGUNAKAN SAMPLING ACAK SEDERHANA DAN SAMPLING BERPERINGKAT(2013-03-16) Suroso, Ryan Ariesta Ramli; Adnan, Arisman; Efendi, RustamRatio estimators of the population mean using simple random sampling and ranked set sampling that suggested here are two ratio estimators involving the first and the third quartiles parameters. These estimators are biased estimators, so that the Mean Square Error is calculated for each estimators to obtain the efficient estimators. Therefore, the simulation using the first and third quartiles parameters is carried out. The simulation showed that the first quartiles parameters are more efficient than the third quartileItem METODE RUNGE KUTTA ORDE-4 DENGAN KONTROL GALAT(2013-03-16) Juita, Nurma; Imran, M.; Kho, JohannesThis paper discusses the Runge Kutta method of order-4 (RK (4,4)) with an error control, which is a combination of the Runge Kutta method of order-4 based on an Arithmetic mean (RKAM-4) and the Runge Kutta method of order-4 based on a Contraharmonic mean (RKCoM-4). Difference between approximation of RKAM-4 and RKCoM-4 is used to control the step length of the method. So the RK(4,4) is a method with a variable step length, as well as the Runge Kutta Fehlberg 4(5) (RKF4(5)). Numerical computation is also done in four cases, which are then compared with RKF4(5). The results show that the behavior of RK (4,4) is similar to that of RKF4(5)Item PENYELESAIAN PERSAMAAN DIFERENSIAL LANE-EMDEN MENGGUNAKAN METODE TRANSFORMASI DIFERENSIAL(2013-03-21) Sya’roni, Ahmad; Natsir, M.; Lily, EndangThis paper described characteristics and use of differential transformation method. Finite Taylor series was used for solving second order of nonlinear Lane-Emden equation at singular initial value problemsItem TAKSIRAN YANG LEBIH EFISIEN UNTUK PARAMETER PADA DISTRUSI WEIBULL(2013-03-25) Wati, Erma Kusuma; Sugiarto, Sigit; BustamiIn this paper the authors use the method of maximum likelihood and Bayesian methods to estimate parameters of the Weibull distribution. Prior used for the Bayesian method is Jeffery prior information. The loss function used is the quadratic loss function. Then the computing was done by comparing of the maximum likelihood method and Bayesian method to find the smallest Mean Square Error. The comparison among the discussed methods is done by simulation methods. The estimated parameters of Weibull distribution obtained from the maximum likelihood is the best compared to Bayes using Jeffery priorItem MODIFIKASI METODE NEWTON DENGAN KEKONVERGENAN ORDE TIGA(2013-03-25) HP, Feby Satrya; Agusni; MusrainiIn this paper is presented a new modification of Newton’s method for solving non-linear equations. Convergence analysis of the new method shows that the method has third-order convergence. The example of the new method computation shows that the new method can compete with Newton method, Newton method with trapezoidal rule, midpoint Newton and Newton method with invers functionItem TAKSIRAN PARAMETER DISTRIBUSI WEIBULL DENGAN MENGGUNAKAN METODE MOMEN DAN METODE MAKSIMUM LIKELIHOOD(2013-03-25) Kristin, Eka Meri; Adnan, Arisman; Sugiarto, SigitIn this paper, the methods of moment and maximum likelihood for estimating parameters of the Weibull distribution that proposed by Razali, et al [4] have been reviewed. Since the estimator of parameters are biased then Mean Square Error are used for comparing these two estimators. Simulation has been conducted using fix sample sizes, several scale and shape parameter. Our study support Razali’s result that the methods of moment is more efficient than methods of maximum likelihoodItem MODIFIKASI PENAKSIR UNTUK RASIO PADA SAMPLING BERPERINGKAT(2013-03-25) Erwin, Devani; Adnan, Arisman; Efendi, RustamRatio estimator discussed are two proposed by Samawi Muttlak [4], for ratio estimator rank set sampling (RSS) and ratio estimator using regression coefficients has been reviewed, each estimator is a biased estimator. so as to determine an efficient estimator by comparing Mean Square Error (MSE) of each estimatorItem MEAN SQUARE ERROR TERKECIL DARI PENAKSIR RASIO DAN PRODUK UNTUK RATA-RATA POPULASI TERBATAS PADA SAMPLING GANDA(2013-03-26) N, Novrita; S, Sigit; S, HaposanTwo types estimator for finite population mean in double sampling are ratio and product. These types are both proposed by Sukhatme and Srivastava so that four estimators are obtained. Four this estimator usually bias estimator. The efficient estimator is one with the least Mean Square Error (MSE), determined by comparing each type of estimatorItem PELABELAN TOTAL SISI-AJAIB SUPER PADA SALAH SATU SUB-KELAS GRAF UNICYCLIC(2013-03-26) Kostarozi, Leo Fadriq; Pane, Rolan; AziskhanLabeling of a graph is a theory that is often encountered in various fields such as graph decomposition, cryptology, radar kristalogi x-ray, coding theory, circuit design and communication networks. This study aims to demonstrate that the graph-like unicyclic cycle also make the magic total labeling super total labeling one side - super magical. The super magic total labeling will we associate with one type of graph is unicyclic graph. Uniclyclic a graph is said to have the magical super if obtained from the settlement cycle on a two-dimensional grid by a set of row transformation sideItem MODEL INVENTORI TINGKAT PERMINTAAN LINEAR, TINGKAT PRODUKSI TERBATAS DAN KEKURANGAN PERSEDIAAN YANG DIPENUHI SAAT PRODUKSI(2013-03-26) H, Roni Hasudungan; Nababan, T. P.; Lily, EndangThis paper discussed about the formulation of the total cost of the average inventory on inventory models using linear functions, where the levels of demand and production are limited. In the model inventory, total cost of the average inventory was obtained from the derivatives of inventory model for time intervals to obtain the minimum value of an optimal solution at the time of production and on going demand. This paper is a review of the work done by C.K. Sahoo and S.K. Sahoo International Conference on Industrial Engineering and Operations Management, 2010Item TAKSIRAN PARAMETER DISTRIBUSI WEIBULL DENGAN MENGGUNAKAN METODE MOMEN DAN METODE KUADRAT TERKECIL(2013-03-26) Fanila, Hesty; Adnan, Arisman; BustamiThe methods of moments and least square for estimating parameters of the Weibull distribution that proposed by Razali, et al [6] have been reviewed. Since the estimator of parameters are biased then Mean Square Error for comparing these two estimators was used. Simulation has been conducted using several sample sizes and different parameters. Our study support Razali’s result that the method of moments is more efficient than that least square methodItem MENYELESAIKAN PERSOALAN OPTIMISASI TERPADU UNTUK PERSOALAN TRANSPORTASI DAN PERSOALAN INVENTORI(2013-03-26) Ningrum, Karinda Puspita; Nababan, T. P.; SukamtoWe discussed the integrated optimization problem which is closely related to the issue of inventory and transportation problems. An alternative model called the model ITIO (Inventory-Transportation Integrated Optimization) will be used to solve the optimization problem of integrated inventory and transportation. Here we review the work done by Huanco Tang, Lixin Tian and Lin Jia International Journal of Nonlinear Science. 1 (8), 92-96 (2009) for a single product optimization problemItem MENYELESAIKAN PERSOALAN TRANSPORTASI DENGAN KENDALA CAMPURAN(2013-03-26) Sari, J. K; Karma, A; Gamal, M. D. HA new algorithm of transportation that is more-for-less (MFL) algorithm has been used to solve transportation problems with mixed constraints. The proposed of this transportation problem is to determine how many product that should shipped from each sources to each destination. Hence each demand from each destination can be fulflled with minimum total shipping costItem ANUITAS DUE PADA STATUS HIDUP PERORANGAN BERDASARKAN FORMULA WOOLHOUSE(2013-03-26) Purwanti, Sri; Kho, Johannes; AziskhanA formula called Woolhouse formula that obtained based on approach the Euler Maclaurin formula are discussed. Then Woolhouse formula is used to calculate present value of an annuity with payable m times a year. Here, n year temporary of an annuity-due is used. This study is a review of the work done by David C.M. Dickson, Mary R Hardy and Howard R. Waters Actuarial Mathematics for Life Contingencies Risk. 3: 132-136 (2009)