Eigen Mathematics Journal
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Implementasi Algoritma IDA* (Iterative Deepening A*) Dalam Menentukan Solusi Terbaik Pada Permainan Othello Dengan Simulasi MATLAB
Get PDFoai:ojs.eigen.unram.ac.id:article/1Permainan Othello adalah permainan logika asal jepang. Permainan ini dimainkan oleh dua orang pada papan persegi dengan bidak hitam dan bidak putih. Dibutuhkan strategi yang jitu untuk meraih kemenangan, sehingga pada penelitian ini memiliki 2 tujuan, pertama untuk menganalisis langkah-langkah yang akan ditentukan menggunakan algoritma IDA* (Iterative Deepening A*) yang dinotasikan sebagai () = () + ℎ() dengan () adalah jumlah langkah dari simpul awal menuju simpul n dengan m jumlah simpul, dan ℎ() adalah jarak perkiraan dari simpul n menuju simpul tujuan. Kedua didapatkan hasil simulasi berdasarkan pemrograman MATLAB.Pada program simulasi ini digunakan matriks ukuran 6 × 6 dengan simbol 1, 2, dan 0 yang masing-masing merepresentasikan bidak hitam, bidak putih, dan kotak yang masih kosong. Dengan salah satu solusi yang didapat pada program adalah hitam (9), putih (20), hitam (26), putih (10), hitam (11), putih (17), hitam (23), putih (27), hitam (8), putih (6), hitam (12), putih (14), hitam (33), putih (28), hitam (29), putih (31), hitam (25), putih (30), hitam (7), putih (2), hitam (18), putih (13), hitam (19), putih (36), hitam (35), putih (1), hitam (3), putih (34), hitam (32), putih (4), hitam (5), putih (24). Dengan bobot -min pada tiap iterasi 14, 15, 16, 17, 20, 15, 16, 18, 15, 16, 18, 17, 13, 14, 15, 16
Estimasi Parameter Model Moving Average Orde 1 Menggunakan Metode Momen dan Maximum Likelihood
Get PDFAutoregressive Integrated Moving Average is a model that commonly used to model time series data. One model that can be modeled is Moving Average (MA). In this study, the estimation of parameters was performed to produce the model estimator parameter, where if the order component of the MA model is known, then the methods that can be used are the Ordinary Least Square (OLS) method, Moment method, and Maximum Likelihood method. But in fact, there are often assumption deviations when using the OLS method, one of which occurs heteroscedasticity (variant is not constant) which is produce a poor estimator. This study used both Moment and Maximum Likelihood method in estimating the parameter of the 1st Moving Average model, denoted by MA (1). The result showed that MA (1) parameter model using Moment method gave better result than Maximum Likelihood method. This can be seen from the value of Schwartz Bayesian Criterion (SBC) of both Moment and Maximum Likelihood method parameter estimator with magnified amount of data and various parameters values generated
Estimasi Parameter Regresi Linear Menggunakan Regresi Kuantil
Get PDFRegression analysis is a statistical analysis method for estimating the relationship between dependent variables (Y) and one or more independent variables (X) . As the purpose of this study is to theoretically examine the quantile regression method in estimating linear regression parameters. In regression analysis usually the method used to estimate parameters is the least square method with assumptions that must be met that normal assumption, homoskedasticity, no autocorrelation and non multicollinearity. Basically the least square method is sensitive to the assumptions of deviations in the data, so that the estimations results will be lees good if the assumptions are not fulfilled. Therefore, to overcome the limitations of the least square method developed a quantile regression method for estimating linear regression parameters. Based on the result of research that has been done shows that the estimation of linear regression parameters using the quantile regression method is obtained by minimazing the absolute number of errors through the simplex algorithm
Analisis Automorfisma Graf Pembagi-nol dari Ring Komutatif dengan Elemen Satuan
Get PDFZero-divisor graphs of a commutative ring with identity has 3 specific simple forms, namely star zero-divisor graph, complete zero-divisor graph and complete bipartite zero-divisor graph. Graph automorphism is one of the interesting concepts in graph theory. Automorphism of graph G is an isomorphism from graph G to itself. In other words, an automorphism of a graph G is a permutation φ of the set points V(G) which has the property that (x,y) in E(G) if and only if (φ(x),φ(y)) in E(G), i.e. φ preserves adjacency.This study aims to analyze the form of zero-divisor graph automorphisms of a commutative ring with identity formed. The method used in this study was taking sampel of each zero-divisor graph to represent each graph. Thus, pattern and shape of automorphism of each graph can be determined. Based on the results of this study, a star zero-divisor graph with pattern K_1,(p-1), where p is prime, has (p-1)! automorphisms, a complete zero-divisor graph with pattern K_(p-1), where p is prime, has (p-1)! automorphisms, and a complete bipartite zero-divisor graph with pattern K_(p-1),(q-1), where p is prime, has (p-1)!(q-1)! automorphisms, when p not equals to q and 2((p-1)!(q-1)!) automorphisms when p=q
Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga
Get PDFRepresentation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphismA : G → GLm(K)Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2
Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas
Get PDFIn some cases in applied mathematics, the continuous function is not used, but rather the weaker function, i.e. lower semi-continuous function from above. One of the basic properties of the function that needs to be known is the existence of the infimum value of the function image. In the case of a continuous function, the existence of infimum is assured by several assumptions, one of which is the function domain which is a closed set and the function is a bounded function. In this paper, we describe the properties that ensure the existence of infimum of the image of a lower semi-continuous function from above. Based on the results, it is found that the existence of infimum of the image of a lower semi-continuous function from above is assured in the domain which is a compact set and also assured if the function is a convex function
Penerapan aritmatika modulo untuk menguji validitas dan mengembangkan nomor ISBN (International Standard Book Number)
Get PDFInternational Standard Book Number or ISBN is a code that contains information about the title, the publisher, the different types of materials for making the book, and publisher group from a book. The ISBN code of a book along with its development need to be checked for validity, because the more books are published, the more chance the book will be copied so that it has a double ISBN number. This research show that the use of modulo arithmetic in arranging ISBN for a book, especially ISBN-10 and ISBN-13. In this research too discussed about validation ISBN-10 and ISBN-13 using modulo arithmetic and expanded by developing an ISBN-n, for a natural number n greater than 10. Validation will be carried out in two stages, namely manually using modulo arithmetic calculation and then computing, by compiling java-based application to validate an ISBN. The development of ISBN-n for n ∊ ℕ and n ≥ 11 use the advantages of ISBN-10 and ISBN-13 and (Memorandum of Understanding/MoU) ISBN agency. Case studies in the Department of Library and Archives of West Nusa Tenggara Province on the ISBN validity of additional collection books for the 2015-2016 period showed that the ISBN validity of these books is 96%
Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes
Get PDFEmpirical Bayes is one of small area estimation method that can be used to predict small area parameters. The small area is defined as a subpopulation of small sample sizes. Empirical Bayes is suitable for use in counted data with Poisson-Gamma model. The purpose of this research was to determine the sub-districts that have the highest risk in the number of people with TBC disease in East Lombok Regency. Based on the results, the analysis showed that sub-districts with the highest risk were Sukamulia Sub-district with 1.65543 value of relative risk in 2014, Sambelia Sub-district with 1.80396 value of relative risk in 2015, and Sambelia Sub-district with 4.12718 values ov relative risk in 2016
Model Statistical Downscaling Nonparametrik pada Simulasi Data Curah Hujan Harian Pos Jurang Malang Daerah Aliran Sungai Jangkok
Get PDFThe prediction of river water discharge can be determined by developing a river water discharge model based on climate information, especially rainfall information. This research aims to obtain a simulation of rainfall data that will be used to river water discharge modeling. The simulation of rainfall data is obtained using statistical downscaling model which develop the functional model between global climate data and local climate data. Daily precipitation of General Circulation Model (GCM) is used to be predictor variables. It is global climate data.. And, daily rainfall of Jangkok watershed, the local climate data, is used to be response variable.. In order to reduce the dimension of GCM global data, GCM data is projected to a litle number of variable using classification and regression tree (CART) method. Then, the projection variables are used to develop statistical downscaling model of rainfall based on Kernel nonparametric regression. Daily rainfall data of Jurang Malang station, Jangkok watershed, is simulated based on the model obtained.
Penggunaan Algoritma Genetika Untuk Penjadwalan Penerbangan di Bandara Internasional Lombok
No full textPenjadwalan penerbangan merupakan salah satu permasalahan yang sangat penting dilakukan agar konsumen mendapatkan pelayanan yang maksimal. Pada umumnya, penjadwalan dilakukan dengan cara manual. Cara ini memiliki keakuratan yang kurang baik dan dapat memberikan peluang terjadinya tabrakan jadwal. Tujuan dari penelitian ini adalah menyusun jadwal yang optimal untuk penerbangan pesawat di Bandara Intenasional Lombok. Metode yang digunakan adalah metode algoritma genetika. Algoritma genetika memungkinkan dapat menyelesaikan masalah yang kompleks dengan membangkitkan sejumlah individu yang dihitung nilai fitness-nya, dan memanfaatkan proses evolusi yang terdiri dari proses seleksi, crossover, dan mutasi. Berdasarkan hasil analisis yang telah dilakukan, hasil dari penjadwalan penerbangan terbaik didapatkan dari individu terbaik dengan nilai parameter-parameter ukuran populasi sebesar 10, jumlah generasi sebesar 10, dan peluang mutasi sebesar 0,01 dengan nilai fitness tertinggi yaitu 1. Individu terbaik ini menepati slot waktu berisikan 108 slot dengan estimasi waktu 10 menit setiap slotnya. Slot-slot tersebut menentukan waktu take off dan landing sebuah pesawa