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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Student Scientific Creativity Journal
Desrinawati Tindaon
Universitas Negeri Medan
Arts Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Mathematics Social Sciences

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Analisis Kestabilan Model SEIR Penyebaran Penyakit Campak dengan Pengaruh Imunisasi dan Vaksin MR Willyam Daniel Sihotang; Ceria Clara Simbolon; July Hartiny; Desrinawati Tindaon; Lasker Pangarapan Sinaga
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 1 (2019): JMSK, July, 2019
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (281.284 KB) | DOI: 10.20956/jmsk.v16i1.6594

Abstract

Measles is a contagious infectious disease caused by a virus and has the potential to cause an outbreak. Immunization and vaccination are carried out as an effort to prevent the spread of measles. This study aims to analyze and determine the stability of the SEIR model on the spread of measles with the influence of immunization and MR vaccines. The results obtained from model analysis, namely there are two disease free and endemic equilibrium points. If the conditions are met, the measles-free equilibrium point will be asymptotically stable and the measles endemic equilibrium point will be stable. Numerical solutions show a decrease in the rate of spread of measles due to the effect of immunization and the addition of MR vaccines.
Analisis Sistem Antrian Pada Masa Pasca Covid’19 Dengan Model Multi Channel-Multi Phase Dalam Optimalisasi Pelayanan Nasabah Bank BRI Unit Aek Kanopan (Labura) Desrinawati Tindaon; Sudianto Manullang
Student Scientific Creativity Journal Vol. 1 No. 3 (2023): Mei : Student Scientific Creativity Journal
Publisher : Amik Veteran Porwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/sscj-amik.v1i3.1357

Abstract

Administrative and banking services at PT. Bank BRI Unit Aek Kanopan (Labura) has 2 services consisting of teller services and customer service services. Teller services and customer service services often experience queues of customers coming and making service transactions. This study aims to determine the optimal level of the queuing system for teller service and customer service with the help of C Sharp application. This study discusses the shape of the queuing model. The queuing model used is Multi Channel-Multi Phase with the control notation type (M/G/2)∶ (FIFO/∞/∞). The Multi Channel-Multi Phase model is a multi-stage multiple-line queuing system method. With a FIFO (First in first out) service pattern, namely first come first served earlier and earlier out. The results of this study are based on the results of calculating arrival patterns and service time patterns, there are 2 parts to the research results consisting of teller services and customer service services. In teller service, the average customer arrival (λ) is 1.48 customers per minute, the average customer that can be served (μ) is 5.12 customers that can be served per minute, and the average level of service intensity ( ρ) is 3.78 < 1. Furthermore, in customer service, the average customer who comes (λ) is 0.83 customers who come per minute, the average customer who can be served (μ) is 0.01035 customers that can be served per minute, and the average level of service intensity (ρ) is 0.015 < 1. Based on the results of the analysis of the queue system for teller service and customer service, it can be concluded that the optimal level of teller service and customer service can be said to be sufficient effective and optimal. In order to make the service more effective, add one service line or service facilities for both services.
Co-Authors Ceria Clara Simbolon July Hartiny Lasker Pangarapan Sinaga Sudianto Manullang Willyam Daniel Sihotang