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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Seminar Nasional Aplikasi Teknologi Informasi (SNATI) CAUCHY: Jurnal Matematika Murni dan Aplikasi Perfecting a Video Game with Game Metrics Lingua Jurnal Bahasa dan Sastra Jurnal Ilmu Komputer dan Agri-Informatika Jurnal Karya Pendidikan Matematika Journal of ICT Research and Applications Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) JOIN (Jurnal Online Informatika) Jurnal Matematika: MANTIK JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Mathematics M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Indonesian Journal of Electrical Engineering and Computer Science Milang Journal of Mathematics and Its Applications Jurnal Matematika Integratif
Bib Paruhum Silalahi
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences, IPB University, Bogor
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Medicine & Pharmacology Physics Transportation

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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

 1 
Simulated Annealing Algorithm for Determining Travelling Salesman Problem Solution and Its Comparison with Branch and Bound Method Bib Paruhum Silalahi; Farahdila Sahara; Farida Hanum; Hidayatul Mayyani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8481

Abstract

Travelling Salesman Problem (TSP) is a problem where a person must visit some places, starting from one city and then moving on to the next city with the conditions that the places visited can only be passed precisely once and then back to the starting city. TSP is an NP-hard, an important problem in operations research. TSP problems can be solved by an exact method or an approximation method, namely the metaheuristic method. This research aims to solve the TSP problem with an approximation method called the Simulated Annealing (SA), and then compare the results of this approximation method with the exact Branch and Bound method. The results indicated that the SA method could accomplish TSP problems. However, like other metaheuristic methods, SA only accomplishes it using an approach to get good results. Still, it cannot be determined that SA has the most optimal results, but the time needed by the SA method is faster than the Branch and Bound method. In case I, the percentage difference between the distance generated using the SA method with the B-and-B method is 0%, in case II it is 7% and in case III it is 8%.  
Asymptotic Distribution of an Estimator for Variance Function of a Compound Periodic Poisson Process with Power Function Trend Muhammad Wiranadi Utama; I Wayan Mangku; Bib Paruhum Silalahi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.10213

Abstract

In this paper, an asymptotic distribution of the estimator for the variance function of a compound periodic Poisson process with power function trend is discussed. The periodic component of this intensity function is not assumed to have a certain parametric form, except it is a periodic function with known period. The slope of power function trend is assumed to be positive, but its value is unknown. The objectives of this research are to modify the existing variance function estimator and to determine its asymptotic distribution. This research begins by modifying the formulation of the variance function estimator. After the variance function is obtained, the research is continued by determining the asymptotic distribution of the variance function estimator of the compound periodic Poisson process with a power function trend. The first result is modification of existing estimator so that its asymptotic distribution can be determined. The main result is asymptotic normality of the estimator of variance function of a compound periodic Poisson process with power function trend.
Pattern Generation for Three Dimensional Cutting Stock Problem Mutia Atika; Bib Paruhum Silalahi; Fahren Bukhari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.9933

Abstract

We consider the problem of three-dimensional cutting of a large block that is to be cut into some small block pieces, each with a specific size and request. Pattern generation is an algorithm that has been used to determine cutting patterns in one-dimensional and two-dimensional problems. The purpose of this study is to modify the pattern generation algorithm so that it can be used in three-dimensional problems, and can determine the cutting pattern with the minimum possible cutting residue. The large block will be cut based on the length, width, and height. The rest of the cuts will be cut back if possible to minimize the rest. For three-dimensional problems, we consider the variant in which orthogonal rotation is allowed. By allowing the remainder of the initial cut to be rotated, the dimensions will have six permutations. The result of the calculation using the pattern generation algorithm for three-dimensional problems is that all possible cutting patterns are obtained but there are repetitive patterns because they suggest the same number of cuts. 
Co-Authors Agung Prajuhana Putra Agus Buono Agus Buono Agus Buono Agus Buono Amril Aman Danny Dimas Sulistio Elisabeth Sri Hendrastuti Fadhilah Syafria Fadhilah Syafria Fahren Bukhari Faisal Muhammad Fajar Setyawan Farahdila Sahara Farida Hanum Farida Hanum Franki Yusuf Bisilisin Haliza Suci Rachmadini Hidayatul Mayyani Hidayatul Mayyani Hidayatul Mayyani I Gede Arta Wibawa I Wayan Mangku I Wayan Mangku Inggih Permana Julio Adisantoso Karlisa Priandana Khoerul Fatihin Marisa Nurbaiti Mayyani, Hidayatul Mohamad Novanto Mu'min, Ulil Albab Muhammad Wiranadi Utama Mutia Atika Nabilah Diar Brigitha Ngakan Nyoman Kutha Krisnawijaya Nur Ahzan, Zulkaidah Nur Aliatiningtyas Nurul Fathiah Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Rafika Husnia Munfa'ati Silviana Eka Pertiwi Sri Nurdiati Sugi Guritman Sumanto, Sumanto Syeiva Nurul Desylvia T Murdani Saputra Ulil Albab Mu'min Yasin Yusuf