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Contemporary Mathematics and Applications (ConMathA)
Published by Universitas Airlangga
ISSN : -     EISSN : 26865564     DOI : https://doi.org/10.20473/conmatha
Core Subject : Science, Education,
Materials Science & Nanotechnology Mathematics
Contemporary Mathematics and Applications welcome research articles in the area of mathematical analysis, algebra, optimization, mathematical modeling and its applications include but are not limited to the following topics: general mathematics, mathematical physics, numerical analysis, combinatorics, optimization and control, operation research, statistical modeling, mathematical finance and computational mathematics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
 1 
Search results for , issue "Vol. 5 No. 2 (2023)" : 5 Documents clear
Survival Analysis and Hazard of Log Logistic Distribution on Type I Censored Data Parametrically Ardi Kurniawan; Ruth Hosana; Ni Wayan Widya Septia Sari
Contemporary Mathematics and Applications (ConMathA) Vol. 5 No. 2 (2023)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v5i2.47040

Abstract

Survival Analysis is a research method that examines the survival time of individuals or experimental units in relation to events such as death, disease, recovery, or other experiences. This study utilizes a parametric survival analysis model with a 2 parameter log logistic distribution and Maximum Likelihood Estimation (MLE) method to analyze the survival of students during their study period. The log logistic distribution is chosen due to its ability to capture early or late failure patterns. The objective of this research is to analyze type I censored survival data using the log logistic distribution applied to secondary data on student study duration. The dataset consists of 98 observations. The calculated values for the β and γ parameters of the 2 parameters log logistic distribution are 2.12831 and 0.0918891, respectively. The probability of students completing their studies by semester 8 (hazard function h(8)) is 0.370102, while the probability of students continuing their studies in semester 9 (survival function s(9)) is 0.320817.
Resolving Independent Dominating Set pada Graf Bunga, Graf Gear, dan Graf Bunga Matahari Rafiantika Megahniah Prihandini; Nabilah Ayu Az-Zahra; Dafik; Antonius Cahya Prihandoko; Robiatul Adawiyah
Contemporary Mathematics and Applications (ConMathA) Vol. 5 No. 2 (2023)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v5i2.47046

Abstract

Resolving independent dominating set is the development of metric dimension and independent dominating set. Resolving independent dominating sets is a concept which discusses about determining the minimum vertex on a graph provided that the vertex that becomes the dominating set can dominate the surrounding vertex and there are no two adjacent vertices dominator and also meet the requirement of metric dimension where each vertex in graph G must have a different representation which respect to the resolving independent dominating set . In this study, we examined the resolving independent dominating set of flower graphs, gear graphs, and sunflower graphs.
Model Petri Net Produksi Tahu Pada Industri Skala Rumah Tangga Deny Murdianto; Shinta Tri Kismanti; Dwi Santoso
Contemporary Mathematics and Applications (ConMathA) Vol. 5 No. 2 (2023)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v5i2.47291

Abstract

The process of making tofu includes several steps, namely the process of soaking soybeans, washing soybeans, milling soybeans, boiling or cooking, filtering, settling and adding vinegar. The purpose of this study it was to obtain a Petri Net model of the tofu making process and perform simulations with signed Petri Nets. Simulations are carried out to determine the dynamics that occur during the process of making tofu. The data used is by observation in a household-scale tofu and tempeh processing industry in Tarakan City. The Petri Net model obtained consists of six transitions and ten places. Assuming that every enable transition will always be fired in every state, there are sixteen possible states that can be achieved in the Petri Net simulation.
Pewarnaan Titik Ketakteraturan Lokal pada Hasil Operasi Amalgamasi Titik Graf Lintasan Rafelita Faradila Sandi; Arika Indah Kristiana; Lioni Anka Monalisa; Slamin; Robiatul Adawiyah
Contemporary Mathematics and Applications (ConMathA) Vol. 5 No. 2 (2023)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v5i2.47904

Abstract

Definition of graph is set pair (????(????),????(????)) where ????(????) is vertex set and ????(????) is edge set. A maping ???? : ????(????)→{1,2, … ,????} as label function and weight function ???? : ????(????)→???? is desined as ????(????)=Σ????∈????(????)????(????). The function ???? is called local irregularity vertex coloring if: (i) ????????????(????)=???????????? (???????????????? (????????) ;???????? ???????? ???????????????????? ????????????????????????????????) and (ii) for every ???????? ∈ ????(????),????(????) ≠ ????(????). The chromatic number of local irregularity vertex coloring denoted by ????????????????(????) is defined as ????????????????(????)=????????????{|????(????(????))|;???? ???????? ???????????????????? ???????????????????????????????????????????????? ???????????????????????? ????????????????????????????????}. The method used in this paper is pattern recognition and axiomatic deductive method. In this paper, we learn local irregularity vertex coloring of vertex amalgamation of path graph and determine the chromatic number on local irregularity vertex coloring of vertex amalgamation of path graph. This paper use vertex amalgamation of path graph (????????????????(???????? ,????,????)). The result of this study are expected to be used as basic studies and science development as well as applications related to local irregularity vertex coloring of vertex amalgamation of path graph.
Analisis Kestabilan dan Kontrol Optimal Model Matematika Penyebaran Leptospirosis dengan Saturated Incidence Rate Miswanto; Nisrina Firsta Ammara; Windarto
Contemporary Mathematics and Applications (ConMathA) Vol. 5 No. 2 (2023)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v5i2.49379

Abstract

Leptospirosis is a disease caused by the bacteria Leptospira inchterohemorrhagiaea. Leptospirosis can attack humans and other animals, through rodents, especially rats. This research aims to analyze the stability of the equilibrium point in the mathematical model of the spread of Leptospirosis and apply optimal control variables in the form of prevention and treatment efforts. Based on the results of the mathematical model analysis of the spread of Leptospirosis, two equilibrium points were obtained, there are the non-endemic equilibrium point and the endemic equilibrium point. Local stability and the existence of an equilibrium point depend on the basic reproduction number ????0. The non-endemic equilibrium point is local asymptotically stable if ????0 < 1, while the endemic equilibrium point tends to be asymptotically stable if ????0 > 1. Next, the problem of control variables in the model is determined using Pontryagin's Maximum Principle. Numerical simulation results show that providing control in the form of prevention efforts and treatment efforts simultaneously provides effective results in minimizing the population of individuals exposed to and infected by Leptospirosis at the cost of providing optimal control.

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