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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

Algoritma Warshall untuk Penyelesaian Masalah Vehicle Routing (Studi Kasus : Pendistribusian PT Semen Bosowa di Makassar) Syafruddin Side; Maya Sari Wahyuni; Hadrianty Ramly
Journal of Mathematics, Computations and Statistics Vol. 1 No. 01 (2018): Volume 01 Nomor 01 (April 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Warshall is an algorithm to calculate the shortest distance for every pair of points in a locationthat can be converted into a directed and weighted graph, in the form of vertex (V) and edges (E), and mosthave at least one side at any vertex. Vehicle Routing Problem (VRP) is included in the class of NP-hardproblem in combinatorial optimization, making it difficult to solve with exact methods applicable ingeneral. This study beginning with mathematical concepts Implementation of Algorithms Warshall, whichis taking the data distribution from the Company, the search for weight trajectory, changing into a matrixwith n × n squares in this case matrix used measuring 11 x 11, apply the algorithm Warshall in the matrixobtained, the second is the implementation of Algorithms Warshall using Microsoft Visual Basicprogramming language. The equation used is the first representation of the graph to a weighted matrix D= [dij] ie the distance from the vertex i to j; The second order decomposition with dij(k). D (k) be the nxnmatrix [dij(k)] so that the limit k to n for k = 0, 1, ..., n; Third observation structures shortest path done intwo ways: if k is not a vertex on the path (the shortest path length dij (k-1)) and k is the vertex on the path(the shortest path length dij (k-1) + dij (k -1)), it contains a subpath from i to k and a subpath from k to j.The fourth iteration numbered 0 through n. The result showed that the method Warshall algorithm cansolve the problems of determining the shortest route in the distribution of PT Semen Bosowa by calculatingthe distance of the entire passage is in the distribution of cement Bosowa in Makassar
Analisis Dan Simulasi Persamaan Differensial Pada Pemodelan Penyakit Campak di Kota Pare-pare Syafruddin Side; Rahmat Syam; Meisy Tri Elsa
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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This research discusses the SEIRV model of measles. The data used is the number of people with measles in Parepare City in 2015. This data is obtained from Parepare City Health Department. The discussion begins with constructing the SEIRV model of measles,determining the equilibrium point and analyzing the stability. Then, creating a simulation model. This research is conducted by using method of literature study. It is expected to proside an overview of the SEIRV mathematical model. The steps taken are identifying the problem, formulating assumptions to obtained, vaccination is the best way to cure measles
Analisis Regresi Panel pada Pemodelan Tingkat Kematian Bayi di Provinsi Sulawesi Selatan Syafruddin Side; Sukarna; Raihana Nurfitrah
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This research discusses about parameter estimation of panel data regression model of infant mortality level modelling in South Sulawesi from 2014 to 2015. The data used were secondary data from Dinas Kesehatan Provinsi Sulawesi Selatan in the form of number of infant mortality, low weight of infant, childbirth rescued by health workers, poor population, infants who were given exclusive breast milk and household that behaves well in the whole district/town in South Sulawesi year 2014-2016. Data analysis was performed using the calculation manually and by using EViews 9 software. The discussion started from doing parameter estimation of panel data regression model, determining the best panel data regression model, testing the assumption of panel data regression model, testing the signification of parameter and interpretation of regression model. Conclusion of this research are the estimation of regression model is the best panel data regression model with fixed effects model approach.
Suatu Kajian Tentang Lapangan Kabur dan Ruang Vektor Kabur Muhammad Abdy; Syafruddin Side; Muhammad Edy Rizal
Journal of Mathematics, Computations and Statistics Vol. 1 No. 01 (2018): Volume 01 Nomor 01 (April 2018)
Publisher : Jurusan Matematika FMIPA UNM

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This research redefine fuzzy fields and fuzzy linear spaces. Furthermore, we show some theorem that applies to both concepts of fields and linear spaces (classic and fuzzy concept).
Penerapan Logika Matematika Terhadap Permasalahan Sosial Uang Panai’ di Masyarakat Bugis-Makassar Syafruddin Side; Hisyam Ihsan; Abdul Kadir
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This research is categorized as pure research (a study of theory and implementation frommath logic) which is aimed to know more about social problem of Uang Panai’ in south sulawesi. Thisresearch conducted by collection data from respondent and then presented in the statements form wichwould be presented in math logic to determine the true value and conclude it. The result of this researchshowed some social cases of Uang Panai’ included the factors which caused the high cost of Uang Panai’and the effects of it (positive and negative effect).
Solusi Persamaan Laplace pada Koordinat Bola Ahmad Zaki; Syafruddin Side; Nurhaeda
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This study examines Laplace equations on spherical coordinates and applies variable separation methods in determining Laplace equation solutions Laplace equations are one type of partial differential equation that is widely used to model problems in the field of science. The general form of the Laplace equation in the third dimension in which u is a scalar function using the separation method of the variable is obtained by the third dimension Laplace equation on spherical coordinates. The result of this research get solution of Laplace equation on spherical coordinate in the form of separate variable by not using boundary value. The relationship of cartesian coordinates and spherical coordinates to the Laplace equation can be determined in the Laplace equation and obtain solutions using spherical coordinates.
Analisis Kestabilan Penyebaran Penyakit Kolera Menggunakan Model SEIRS dengan Vaksinasi dan Faktor Treatment Syafruddin Side; Sukarna; Gita Tri Asfarina
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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In this study, the rate of vaccination and treatment than to see the effects on the spread of the disease. In this case, obtained the minimum vaccination and treatment level of the minimum needed for the disease can disappear from the population. For vaccination rates and treatment level above the minimum vaccination and minimum treatment, the greater the rate of vaccination and treatment levels cause the proportion of Susceptible individuals getting smaller, meaning that people with cholera gradually diminishing and the disease will disappear from the population and there is no endemic.
Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas Muhammad Abdy; Syafruddin Side; Reza Arisandi
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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This study discusses the application of Adomian Laplace Decomposition Method (ALDM) in determining the solution of heat equation. Adomian Laplace Decomposition Method is a semi analytical method to solve nonlinear differential equations that combine Laplace transform and Adomian decomposition method. Based on the calculation result, Adomian Laplace decomposition method can approach the settlement of ordinary nonlinear differential equations.
Analisis Matematika Pada Pembuatan Rumah Panggung Toraja Syafruddin Side; Sukarna; Jusriadi
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Geometry is branch of science that learning about the relationship between points, lines, sides , plane figure and solid figure. The application of geometry mathematics is very helpful in daily life. For example, the determination of tower height by using sunlight where in its determination can use the comparison system. Then, determine the distance or width of the river without measuring it manually, that is by using the help points and lines that are congruent. The aim of this research is finding out how the results of the application of mathematics in building Toraja Traditional house. The analysis process is done by observation, interview and documentation to see the process of building Toraja Traditional house. Based on the results of data analysis that is obtained, it was find the sequences pattern on the poles or beams in each type of house. Then the method of using parallel lines, lines extension and similarity on the roof of the house. Mathematics application can be applied in Toraja Traditional house by using parabolic equations and parabolic functions in determining the curvature of house roof.
Analisis Kekonvergenan pada Barisan Peubah Acak di Ruang Riil Side, Syafruddin; Sanusi, Wahidah; Nurdin, Nur Izzah
Journal of Mathematics, Computations and Statistics Vol. 6 No. 1 (2023): Volume 06 Nomor 01 (April 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to identify and explain the concepts, asymptotic properties, relationships and applications of four types of convergence of a sequence of random variable, namely convergence almost surely, convergence in probability, convergence in distribution and convergence in mean. The results of the theoretical study shows that these four types of convergence, are closed to arithmetic operations, each subsequence is convergent to the same random variable, remains convergent in the continuous function,and has a relationship between each type, namely: (a) if the sequence of random variable convergent almost surely then this sequence convergent in probability and otherwise if the sequence has a subsequence that convergent almost surely to its limit, (b) if the sequence of random variable convergent in probability then this sequence convergent in distribution and otherwise if the limit is a real constant, (c) if the sequence of random variable convergent in mean then this sequence convergent in probability and otherwise if thesequence is bounded in probability and (d) there is no relationship between convergent in mean and convergent almost surely, and also can be used in proving the Law of Large Number, Central Limit Theorem and limit distribution.
Co-Authors . Sulaiman . Sulaiman . Sutra . Sutra Abdul Kadir Abdul Kadir Abdul Rahman Ahmad Ali Ramli AHMAD FAUZAN RIDHA SUJIONO Ahmad Yani Ahmad Yani Ahmad Yani Ahmad Zaki Ahmad Zaki AHMAD ZAKI Ahmar, Ansari Saleh Aidid, Muhammad Kasim Aisyah Mukhlisah Araaf Aisyah Zahra Ramadhani Asya Akbar Aldri Frinaldi Alief Saputro Alimuddin Tampa Alvioni Bani Amal Arfan, Amal Amni Rasyidah Andi Gagah Palarungi Taufik Andi Muhammad Ridho Sainon Andi Pandjajangi Andi Muhammad Ridho SAP Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andi Muhammad Ridho Yusuf Sainon Andin P Angri Lismayani Annas, Suwardi Annisa Uniarti Annisa Uniarti Arifuddin R Arika Dwi Angraeni Rasida Arkas, Amaliah Nurul Armalinda Mohammad Adam Arsita, Asriani Asdar Astri Utari Aswi, Aswi Aulia, Hikma Bahar, Nur Qadri Baiq Nurkhalishah Beby Fitriani Bohari, Nurul Aulia Citra Suci Said Damang, Dahnial Dian Pebriani Emi Wulandari Fajar Arwadi Fitrah Mallolongeng Fitriyani Fitriyani Fitriyani Gita Tri Asfarina Gita Tri Asfarina Hadrianty Ramli Hadrianty Ramly Hasri Hasri Hasri Hasri Hasri Hasri Hisyam Ihsan Husnul Khatimah Syam Ilham Minggi Imron AY, Muhamammad Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Ismail, Khusnul Ryana Tasya J, Jusriadi Jafaruddin Jafaruddin a, Jafaruddin Jusman Jusman Kaito, Nurlaila Karwingsi, Ersa Katrina Pareallo Khadijah , Ummul Khairana, Nadiyah La Ode Salman Yassar Luthfiah Arradiah Mallolongeng, Fitrah Marfianti, Marfianti Meisy Tri Elsa Meisy Tri Elsa Miswar Miswar Mohd Salmi Md Noorani Mudinillah, Adam Muh Al Rasyid Ridho Muh. Rifki Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Edy Rizal Muhammad Farhan Muhammad Iqbal Muhammad Iqbal Muhammad Irfan Muhammad Isbar Pratama Muhammad Nur Ilham Muhammad Rakib Muhammad Ridho Yusuf SAP Muhammad Rifandi Muhjria, Muhjria Mulyaningrum, Dwidary Munadiya Yunadiya Musdalifa Pagga Musdalifah Pagga Musfira, Nur Fadillah Mustati'atul Waidah Maksum N. Nurhaeda Neldi Neldi, Neldi Nikmatullah Nur, Nikmatullah Nor Zila Abdul Hamid Nora Auliya Zahra Norliana Rahmasari Nur Fajri Setiawan Nur Izzah Nurdin Nur Khaerati Rustan Nur Qomariah Nurazizah Nurdin, Nur Izzah Nurhaeda Nurul Aulia Bohari Nurul Aulia Bohari Nurul Azizah Muzakir Nurul Fadhilah Syahrul Nurwahidah Sari Nusrang, Muhammad Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Pagga, Musdalifa Palumpun, Feby Fristi Pandjajangi, Andi Muhammad Ridho Yusuf Sainon Andi Puspitasari Putri Kharina Mahathir Hulinggi Qudratullah Qudratullah Rahman, Muhammad Fatur Rahmasari, Norliana Rahmat Syam Rahmat Syam Raihana Nurfitrah Raihana Nurfitrah Ramadana, Yusuf Ramadhani, Muthia Reza Arisandi Reza Arisandi Rifki, Muh. Risma Risma, Risma Rosmini Maru Rudi Ruliana Rustan, Nur Khaerati S. Sartika Sahlan Sidjara Sahlan Sidjara Sahlan Sidjara Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf Sakina Putri Sahara Sanusi, Wahida SAP, Andi Muh. Ridho Yusuf SATRIYAS ILYAS Setiawan, Nur Fajri Sopiyah Sri Indriani Sri Nur Qadri St. Nurhilmah Busrah Suciyanti, Nurafni Sudarmin - Suhartono Nurdin Sukarna Sukarna Sukarna Sulaiman - Sulaiman Sulaiman Supriadi Yusuf Suriyandi Suriyandi Sutriani Hidri, Sutriani Suwardi Annas Syahirah, Nurul Syahrana Syahrana Syana Nurul Utari Syarif Hidayat Syarif Hidayat Talib, Dr. Ahmad Usman Mulbar Wahida Sanusi Wahidah Sanusi Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Waode Nurlaelah Wulandari, Emi Yulita Molliq Rangkuti Yusnalia Kadir Yusuf S.A.P., Andi Muh. Ridho Yusuf Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf SAP, Andi Muh. Ridho Yusuf SAP, Andi Muhammad Ridho Zahra, Nora Auliya Zakyah, Nur