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All Journal Jurnal Matematika Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Dwi Octavanny, Made Ayu
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Earth & Planetary Sciences Mathematics

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Aplikasi Rantai Markov pada Perpindahan Konsumen Merek Sabun Mandi Santoso, Louis Vigo; Rajagukguk, Rikardo Jordan; Wilantara, I Gede Ligar Nouvaldi; Putera, Judha Dana; Nurahmadiningsi, Nurahmadiningsi; Dwi Octavanny, Made Ayu
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p160

Abstract

The purpose of this study is to determine the market share for several future periods of the Lifebuoy, NUVO, Dettol, and other soap brands and the market share when equilibrium conditions are reached by applying the markov chain to the movement of soap consumers. Markov chain is a method for analyzing the properties of a variable in the present based on past properties to interpret the properties of these variables in the future. The results showed that the highest market share was held by Lifebuoy with 37.6% and followed by other brands (25.7%), Dettol (20.2%), and NUVO (16.5%). In subsequent periods the market share of Lifebuoy, NUVO and Dettol has increased while the other brands have decreased. The market share when the equilibrium condition is reached is Lifebuoy (37.8%), other brands (24.2%), Dettol (21.1%), and NUVO (16.9%).
Model Stokastik Teori Antrean Non Poisson: Studi Kasus: Analisis Model Antrean Non-Poisson pada Pelayanan Mie Gacoan Jimbaran Permata Sari, K. Ayu Diah; Fortuna Dewi, Ni Kadek; Dwi Octavanny, Made Ayu
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 4 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i4.662

Abstract

At Mie Gacoan Jimbaran, there are two payment service units operating under a single queue line, which often leads to customer congestion during peak hours. This study aims to evaluate the most appropriate non-Poisson queueing model, assess the performance of the existing queueing system, and determine the optimal number of cashiers (servers) to enhance service efficiency at Mie Gacoan Jimbaran.The observation was conducted at Mie Gacoan Jimbaran, located in Badung, Bali, on Saturday, November 18, 2023, over a period of one hour and fifteen minutes. Based on the results of the queueing model analysis and system performance evaluation, the customer arrival rate was found to be two persons per minute, with a service rate of three persons per minute. Furthermore, the average number of customers in the system and in the queue was two individuals, respectively. The probability of the cashiers being idle was recorded at 71.28%, with an average customer waiting time of 0.7696 minutes in the queue and 1.1829 minutes within the entire system.
Co-Authors Fortuna Dewi, Ni Kadek Nurahmadiningsi, Nurahmadiningsi Permata Sari, K. Ayu Diah Putera, Judha Dana Rajagukguk, Rikardo Jordan Santoso, Louis Vigo Wilantara, I Gede Ligar Nouvaldi