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

Autokorelasi Pada Pembentukan Grafik Kendali Komponen Utama Rasyid, Nur Ahniyanti; Wijaya, Dhian Eka; Firmayasari, Dian; Harianto; Pratama, Muhammad Isbar
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

The formation of control chart for autocorrelated data can not be done. This research aims to analyse the effect of autocorrelated data on the formation of principal component control chart. A case study was performed on simulated data with two variables and they were applied on the data of climate elements in Makassar city including air temperature, solar radiation, air humadity,and wind speed. The analysis of the effect of the autocorrelated data was conducted inthree steps, namely: (1) the establishment of the structure of variance-covariance matrix of the autocorrelated data; (2) the establishment of principal component control chart based on the largest eigen valu; and (3) In forming of simulation with two variables. The result indicate that if the data are negatively autocorrelated with avalue of -0,9-(-0,5), the controllimits will be widened, and if the value is -0,5-(-0,1), the control limits will be narrowed.
Simulasi Numerik Model Matematika Arus Lalu Lintas Berbasis Fungsi Velositas Underwood Muh. Isbar Pratama; Dian Firmayasari; Nur Ahyaniyanti Rasyid; Harianto
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Abstract. Mathematical traffic flow model was first developed by Lighthill, Whitham and Richards in 1956, known as (LWR) model. In LWR model, velocity function was most important. In this paper, Underwood velocity function was used. Implicit finite difference method used to found the numerical solution of LWR model with Underwood velocity model. Convergence the implicit finite difference method proved using the Lax equivalence theorem. The numerical simulation of 10 km highway of single lane was performed for 1 hours using the implicit finite difference method based on artificially generated initial and boundary data. Numerical simulation performed with two different parameters. An experimental result for the stability condition of the numerical scheme was also presented. Density, velocity, and fluks for 1 hours was experimental result of numerical simulation.
Co-Authors Achmad Suryana, Achmad Adi Kurniawan Saputro Ahmad Arbiansyah Aisyah Akriandi Amin Alfian Fawzi Allo, Karmila Pare Amiruddin Amzul Rifin Andi Ahmad Saugi Suloengka Angghita Muthiara Yusfadhila Anita Wulandari, Anita Apriansyah Ario, Firman Aris Sudianto Arnada, Feby Asep Taryana Ashabul Kahpi Asharuddin, Muh. Asrul Atthaariq Maulana, Muhammad Azam Yusbyakto Azizah, Wafiq Baiq Andriska Candra Permana Bambang Martin Baru Basuki Rahmat Berlian Bunga Sari Budi Mulyanto Cila Apriande Danindra, Fuad Dedi Budiman Hakim Deva Bipasha Esha Shif Dasani Devianto, M. Rizky Dhian Eka Wijaya Dini Ikayanti DWI BHAKTI INDRI Endang Murti Farida Fariyanti, Anna Fawwaz Febriansyah, Rizky Alief Feryanto Fikri Santoso Harjowinoto Firman Mardiansyah Gandhy, Abel Gempo, Yesti Merlin Gultom, Gusti Artama Haliq, Muh. Idham Hamzan Ahmadi Harahap, Ramadhan Hardman Budiardjo, Hardman Harmini Hartoyo Hartoyo Hartoyo Hasanah, Novri Eka Nur Hasibuan, Hasbi Anshori Helena, Shifa Herawati Heri Pratikno Ida Retno Moeljani Ida Wahidah Ifa Nurasykin Ikha Safitri Imam Fathurrahman Imam mahfuz hulaimi Indra Gunawan Indra Maya Iriyanti, Maulina Irmawati Jumawal Koko Joni Kushadiwijayanto, Arie Antasari Lalu Kerta Wijaya Lalu Kertawijaya LUBIS, ARMANSYAH Lumbangaol, Santo Lumpiha, Uing Stevrian M. Syamsul Maarif Mahpuz Mahyudin Makmur Manalu, Doni Sahat Tua Maslani Masrianto Mawar Mega Sari Juane Sofiana Mifta Fadhli As’ad Mochamad Nurdin Muh Amar Muh. Kamarur Rijali Hilali Muh. Sofyan Muhammad Djamaluddin Muhammad Isbar Pratama MUHAMMAD LUTFI Muhammad Rifki Nisardi Muhammad Rifki Nisardi Muhammad Sadali Muhammad Sarjan Muhammad Wahyu Afandi Muhammad Wasil Muhammad Wasil Muhlis Hajar Adiputra Musayyanah Musayyanah Musayyanah Muzaffar Nasution, Muhammad Iqbal Nimmi Zulbainarni Nislaini Nisrochah Sholihah Nora Idiawati Nur Afni Evalia Nur Ahniyanti Rasyid Nur Ahyaniyanti Rasyid Nur Amin Nur Fadilah Nur Fajrianti D Nurdiansyah, Syarif Irwan Pattiasina, Trees Augustine Pauladie Susanto Pratama, Deny Pratama, Rizky Anugrah Prayitno, Dwi Imam Putri, Indira Rosandry Ajeng Syah Rachmadi, Afif Ramlawati Ricka Handayani Rika Lidyah Rita Nurmalina Riza Alfita Rizal Syarief Rosiana, Nia rusdiana Sadali, Muhamad Saraswati, Ria Indah Sari, Fadhila Cynthia Simatupang , Nurmalasari Siregar, Aulina Safitri Siti Aminah Hasibuan Sitti Aisyah Abdullah Sri Wahyuni Sri Wahyuni Nurzak Suardi Sudiyarto Sugoto, Himawan Arief Suharno Suhartini Sukal Minsas Surya Darma Suryana, Anggita Suryani, Tri Nila SUSANTI Tia Nuraya TITIN HARTINI Triana Gita Dewi Ulfatun Hasanah Utami, Anisa Dwi Wahyuni, Maya Sari Warsidah, Warsidah Weny Indah Kusumawati Weny, Weny Indah Kusumawati Widiawati, Wilda Widjajani, Bhakti Wisnu Yazid, Abdul Yonda, Ade Yosef Richo Adrianto, Yosef Richo Yosefine Triwidyastuti Yusman Syaukat Yusril Hadi Yusuf Arief Nurrahman Zulkarnaen Zulkipli