Jurnal Matematika, Statistika dan Komputasi
Not a member yet
562 research outputs found
Sort by
ANALISIS KESTABILAN DAN KONTROL OPTIMAL MODEL LESLIE-GOWER FUNGSI RESPON HOLLING III DENGAN PEMANENAN PADA POPULASI PREDATOR DAN PREY
Get PDFThis article modified the leslie-gower model on harvesting with predator and prey population. This study aims at construct a modification of leslie-gower model with holing III response function. In addition, there is an effort harvesting in predator and prey population, analyzing an equilibrium point, finding bionomic equilibrium and the condition where the present value is maximum from net income by controlling harvesting in both populations. In the modified leslie-gower model there is an equilibrium point which is asymptotically stable and when there have harvesting, the equilibrium point is also asymptotically stable. Bionomic equilibrium from harvesting on the modified leslie-gower model is maximizing the profit function π of harvesting on a model with the maximum pontryagin principle resulting an optimal equilibrium) affected by instantaneous rate of discount δ
MODEL VEHICLE ROUTING PROBLEM DALAM MENGOPTIMUMKAN RUTE PENGANGKUTAN SAMPAH DI KOTA BOGOR
Get PDFGarbage is a common problem that often occurs in many cities, including in Bogor. Every day, the volume of garbage in Bogor reaches 600 tons and only 475 tons can be transported to the Galuga Landfill Site. However, the vehicle which is owned by the Environmental Agency of Bogor is limited and has certain capacity.In this study, we formulated garbage transportation in the form of a Vehicle Routing Problem model with Branch and Bound method and completed using LINGO 11.0. The optimal solution obtained is a garbage transport route with a minimum distance, and obtained a distance is 1583.24 km, with West Bogor is 172.6 km, Central Bogor is 344.99 km, East Bogor is 298.79 km, North Bogor is 267.4 km, South Bogor is 252.41 km and Tanah Sareal is 247.05 km. Of the six sub-districts, there was a decrease in the distance of garbage transportation from Temporary Disposal sites to the Galuga Landfill. Keywords: Garbage transportation, Optimization, Vehicle Routing Problem
ANALISIS KEMAMPUAN PEMECAHAN MASALAH BERDASARKAN MINAT BELAJAR MATEMATIKA SISWA SMA PEKANBARU PADA MATERI SPLTV
Get PDFThe problem solving abilities of students in learning mathematics are still not well trained, and there are varying degrees of difficulty experienced by students in learning mathematics. Factors that influence the ability to solve problems include interest in learning. This study aims to analyze the ability of problem solving based on students\u27 interest in learning mathematics. This type of research is a descriptive qualitative study, which was conducted at Babussalam Pekanbaru High School with research subjects coming from Class X MIPA 1 selected based on the level of problem solving skills and student interest in learning. Problem solving abilities consist of categories: high, medium, low. Learning interest is categorized as positive and negative interests. Data collection techniques are written tests and non-tests in the form of questionnaire interest in learning and interviews. Based on the research results, the problem solving ability of high category students with positive learning interest is able to meet all indicators of problem solving ability. The problem solving ability of the medium category students with positive learning interest is able to meet the indicators of planning for solving, solving problems, and checking. The problem solving ability of low category students with positive learning interest is only able to meet the indicators of planning a solution, and solving a problem. The ability of problem solving students in the moderate category with negative learning interest is able to meet the indicators of planning for solving, solving problems, and checking
COMPARING NAIVE BAYES, K-NEAREST NEIGHBOR, AND NEURAL NETWORK CLASSIFICATION METHODS OF SEAT LOAD FACTOR IN LOMBOK OUTBOUND FLIGHTS
Get PDFClassification is the process of grouping data based on observed variables to predict new data whose class is unknown. There are some classification methods, such as Naïve Bayes, K-Nearest Neighbor and Neural Network. Naïve Bayes classifies based on the probability value of the existing properties. K-Nearest Neighbor classifies based on the character of its nearest neighbor, where the number of neighbors=k, while Neural Network classifies based on human neural networks. This study will compare three classification methods for Seat Load Factor, which is the percentage of aircraft load, and also a measure in determining the profit of airline.. Affecting factors are the number of passengers, ticket prices, flight routes, and flight times. Based on the analysis with 47 data, it is known that the system of Naïve Bayes method has misclassifies in 14 data, so the accuracy rate is 70%. The system of K-Nearest Neighbor method with k=5 has misclassifies in 5 data, so the accuracy rate is 89%, and the Neural Network system has misclassifies in 10 data with accuracy rate 78%. The method with highest accuracy rate is the best method that will be used, which in this case is K-Nearest Neighbor method with success of classification system is 42 data, including 14 low, 10 medium, and 18 high value. Based on the best method, predictions can be made using new data, for example the new data consists of Bali flight routes (2), flight times in afternoon (2), estimate of passenger numbers is 140 people, and ticket prices is Rp.700,000. By using the K-Nearest Neighbor method, Seat Load Factor prediction is high or at intervals of 80% -100%
Eksistensi Dan Ketunggalan Titik Tetap pada Pemetaan Kontraksi Tergeneralisasi dalam Ruang b-Metrik
Get PDFRuang b-metrik merupakan generalisasi dari ruang metrik. Salah satu bahasan yang menarik untuk dikaji dalam ruang b-metrik adalah teorema titik tetap. Pada penelitian ini, ditunjukkan syarat cukup untuk menjamin bahwa eksistensi dan ketunggalan titik tetap untuk beberapa pemetaan kontraksi tergeneralisasi dalam ruang b-metrik, termasuk generalisasi pemetaan kontraksi dalam bentuk rasional. Beberapa contoh diberikan untuk menjamin keberadaaan dan ketunggalan titik tetap di ruang b-metrik
Analisis Kestabilan Model Eko-Epidemiologi dengan Pemanenan Konstan pada Predator
Get PDFPenelitian ini dilakukan untuk menganalisis kestabilan model eko-epidemiologi dengan pemanenan konstan terhadap predator. Populasi dalam model terbagi atas tiga populasi yaitu populasi prey rentan populasi prey terinfeksi , dan populasi predator . Dikonstruksi model eko-epidemiologi dengan pemanenan konstan terhadap predator. Diperoleh dua titik kesetimbangan, yaitu titik kesetimbangan kepunahan populasi prey terinfeksi, dan titik kesetimbangan interior atau semua populasi ada. Eksistensi dari masing-masing titik kesetimbangan bergantung pada atau akar-akar realnya masing-masing. Sebelum mencari kestabilan dari titik-titk kestimbangan, ditentukan terlebih dahulu matriks Jacobi. Kestabilan dari masing-masing titik diuraikan pada syarat kestabilannya masing-masing. Simulasi numerik dari titik kesetimbangan dilakukan agar terlihat lebih jelas kestabilan dari masing-masing titik kesetimbangan. Simulasi numerik dilakukan menggunakan metode Runge-Kutta orde 4 dan dibantu software Phyton 3.7
NILAI EIGEN MATRIKS QUATERNION
Get PDFAbstrakMenurut Zhang (2007), jika adalah matriks quaternion dengan dan adalah nilai eigen kiri dari , maka . Dalam penelitian ini akan ditunjukkan tiga hal. Pertama, jika adalah matriks quaternion dengan dan adalah nilai eigen kiri dari maka .Kata Kunci : Quaternion, Determinan Cayley, Nilai Eigen Kiri AbstractAccording to Zhang (2007), if is a quaternion matrix with and is the left eigenvalue of , then . In this paper will be shown, if is a quaternion matrix with and is the left eigenvalue of , then .Keywords : Quaternion, Cayley Determinant, Left Eigenvalu
Dimensi Partisi Graf Hasil Amalgamasi Siklus
Get PDFLet be a connected graph G and -partition of end . The coordinat to is definition . If for every two vertices in t , then is a called k-resolving partition of . The minimum k such that is a k-resolving partition of is the partition dimension of and denoted by . In this paper, we show that the partition dimension for amlagamation of cycle graph for To proof this results, we was used mathematical induction method.
MONITORING VARIABILITAS PROSES BERDASARKAN STATISTIK WILKS
Get PDFIn a manufacturing industry quality problems often occur. One of the main cause is due to variability process. Variability process is a variation that occurs in the process, both in manufacturing and non-manufacturing processes. One method for monitoring variabiliti process is by using Wilks Statistics. Wilks statistics is a method that is used based on individual observations. This study aims to monitor the variability of the process and apply it to Electric Resistance Welded (ERW) pipes with the Wilks statistical method. In addition, a capability process analysis is also carried out when the Wilks control chart has been controlled. The result showed that all observations carried out individually were in control limit with a capability process of 2.5386, which means the process capability of ERW pipe production using a multivariate Wilks statistical control chart was capable and match with the specifications limit specified by company
Nilai Total Ketidakteraturan-H pada Graf Cn x P3
Get PDFAbstrakPenentuan nilai total ketidakteraturan dari semua graf belum dapat dilakukan secara lengkap. Penelitian ini bertujuan untuk menentukan nilai total ketidakteraturan-H pada graf Cn x P3 untuk n ≥ 3 yang isomorfik dengan . Penentuan nilai total ketidakteraturan-H pada graf Cn x P3 dengan menentukan batas bawah terbesar dan batas atas terkecil. Batas bawah dianalisis berdasarkan sifat-sifat graf dan teorema pendukung lainnya. Sedangkan batas atas dianalisa dengan pemberian label pada titik dan sisi pada graf Cn x P3.Berdasarkan hasil penelitian ini diperoleh nilai total ketidakteraturan-H pada graf ths(Cn x P3, C4)=.Kata kunci : Selimut-H, Nilai total ketidakteraturan-HAbstractThe determine of H-irregularity total strength in all graphs was not complete on graph classes. The research aims to determine alghorithm the H-irregularity total strength of graph Cn x P3 for n ≥ 3 with use H-covering, where H is isomorphic to C4. The determine of H-irregularity total strength of graph Cn x P3 was conducted by determining lower bound and smallest upper bound. The lower bound was analyzed based on graph characteristics and other supporting theorem, while the upper bound was analyzed by edge labeling and vertex labeling of graph Cn x P3.The result show that the H-irregularity total strength of graph ths(Cn x P3, C4)=.Keyword : H-covering, H-irregularity total strengt