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Journal : UNEJ e-Proceeding

MODELISASI GRINDER KOPI MANUAL DENGAN PENGGABUNGAN KURVA BEZIER, KURVA HERMIT, DAN HASIL DEFORMASI TABUNG Mohamad Febri Setiawan; Bagus Juliyanto; Firdaus Ubaidillah
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

A coffee grinder is a tool for grinding coffee beans into coffee grounds. A manual coffee grinder consists of three parts, namely the container, the body, and the swivel. In this study, a manual coffee grinder was modeled by combining Bezier curves, Hermit curves and tube deformation results. Manual coffee grinder modeling processes are divided into four stages. The first, modeling the manual coffee grinder by dividing into two models, namely model A and model B. The second, determining the size of the manual coffee grinder components based on the model. The third, modeling manual coffee grinder components. Finally, combine the ingredients to produce a complete and varied manual coffee grinder. The result of this study is a manual coffee grinder component procedure that varies with the deformation technique. The deformation techniques used are dilation and translation. Keywords: Bezier curve, Hermit curve, dilation, translation.
MODIFIKASI FLOWER POLLINATION ALGORITHM DENGAN REPLACEMENT BERBASIS ILS: PERMASALAHAN QUADRATIC BOUNDED KNAPSACK Yona Eka Pratiwi; Mohamat Fatekurohman; Firdaus Ubaidillah
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

Optimization problems are the most interesting problems to discuss in mathematics. Optimization is used to modeling problems in various field to achieve the effectiveness and efficiency of the desired target. One of the optimization problems that are often encountered in everyday life is the selection and packaging of items with limited media or knapsack to get maximum profit. This problem is well-known as knapsack problem. There are various types of knapsack problems, one of them is quadratic bounded knapsack problem. In this paper, the authors proposed a new modified algorithm, which is Flower Pollination Algorithm (FPA) added with Iterated Local Search (ILS)-based Replacement mechanism. Furthermore, the implementation of the proposed algorithm, MFPA, is compared to the original FPA. Based on the results of this study, the proposed MFPA performs better and produces the best solution than the original algorithm on all data used. The advantage obtained by the MFPA algorithm is better and in accordance with the knapsack capacity. In addition, although the computational of the MFPA takes longer time than FPA with the same number of iterations, MFPA is able to find better solutions faster and able to escape from the local optimum. Keywords: Flower Pollination Algorithm, Iterated Local Search, Knapsack, Optimization, Quadratic Bounded Knapsack.
MODELISASI CAKE STAND DENGAN PENGGABUNGAN HASIL DEFORMASI TABUNG, PRISMA, DAN KURVA BEZIER Nur Kholifah Ramadhani; Bagus Juliyanto; Firdaus Ubaidillah
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

A cake stand is a place for serving cakes to beautify the cake display. The cake stand consists of three parts: the base, the support, and the plate. This study developed a multilevel cake stand model by combining several geometric objects using the deformation method. Modeling the cake stands is divided into two stages. The first is to model the components of a cake stand by combining several geometric objects and Bezier curves. The geometric items used are tubes, rectangular prisms, and hexagonal prisms. Bezier curves used are curves of degrees two, three, four, and five. Second, combining the modeling results of each component of the cake stand on two types of cake stand modeling axes, namely one axis and three axes. This study produces 10,584 cake stand models on one modeling axis and three modeling axes. The cake stand model acquired can be visualized utilize Maple 18 software support on a computer. Keywords: Cake stand, Deformation method, Bezier curves, Modeling
GENERALISASI FUNGSI GENAP PADA SISTEM KOORDINAT KUTUB DAN BEBERAPA SIFATNYA Firdaus Ubaidillah
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

The function r is said to be an even function if for every in R. In the polar coordinate system, the graph of the even function is symmetric about the polar axis, i.e., the line , but not vice versa. In this paper, we will introduce a more general definition of an even function, or generalized even functions, in a polar coordinate system, which is given the function and for a in R then for every in R. In addition, some properties of the generalized even functions to the polar coordinate system will be discussed. Keywords: even function, symmetric graph, polar coordinate system