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Journal : Journal of Mathematics UNP

MENENTUKAN FORMULASI ASURANSI JIWA DWIGUNA MENGGUNAKAN HUKUM HELIGMAN-POLLARD DENGAN KASUS MULTIPLE LIFE Wanari Intan Dwi Putri; Muhammad Subhan; Dewi Murni
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (903.492 KB) | DOI: 10.24036/unpjomath.v3i1.4669

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Abstract – One of the problems that can happen to the insurance company is the inability of the company to pay compensation to the insurance participants in the event of a claim. For that, it takes a formulation of premium calculation so that the premium value can be calculated properly. Calculation of net premium using Heligman-Pollard law. The calculation of premiums by using Heligman-Pollard law begins with creating mortalitaas tables, making the cash value of dual-purpose annuity insurance with dependents for n years, calculating net periodic premiums on dual life insurance with multiple life cases, calculating annual net premiums on dual-life insurance with multiple cases life. By using this Heligman-Pollard law, insurance premiums will be grouped into 3 age groups on the new mortality table.
Peramalan Produksi Ikan Laut di Kabupaten Pesisir Selatan Menggunakan Metode Pemulusan Eksponensial Tripel Tipe Brown Rimpi Oktaria; Dewi Murni; Helma Helma
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (365.673 KB) | DOI: 10.24036/unpjomath.v4i2.6319

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Abstract – Indonesia is a maritime country that has a lot of potential wealth of the sea, one of them is fish production. In West Sumatra, Pesisir Selatan is one of the Region that have a lot of fish production. It is beneficial for the local government to increase the GDP. Therefore, Pesisir Selatan marine fish production for the next few years needs to be foreseen for the government to make planning and appropriate action so the local revenue and foreign exchange could be improved. The purpose of this research was to obtain a forecasting model and predict fish production of Pesisir Selatan in 2015 until 2019. The forecasting method used is triple exponential smoothing method of Brown type. Based on the research results, it is estimated the Pesisir Selatan fish production for 2015 to 2019 has increased.Keywords  –  Fish Production, Forecasting, Tripel Exponential Smoothing, Brown Type
Optimasi Portofolio dengan Lexicographic Goal Programming pada Bursa Efek Indonesia Nilam Purnama Sari; Muhammad Subhan; Dewi Murni
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (841.268 KB) | DOI: 10.24036/unpjomath.v6i1.11561

Abstract

Abstract – A portfolio is a collection of investment opportunity that aims to select a combination of efficient of shares owned, in the form of profit (return) is optimal in forming the optimal portfolio, there are three criteria that must be considered, maximizing the total funds that, maximizing expected return, minimizing risk market (systematic risk coefficients). One model that can solve this problem is lexicographic goal programming. research purposes is how to obtain a stock portfolio optimation with lexicographic goal programming and the proportion of the funds invested. The method used is descriptive method that analyzes the theories related to lexicographic goal programming. The result obtained is an optimum portfolio.Keywords – investment, portfolio, return, the coefficient of systematic risk, lexicographic goal programming
Portofolio Mean Variance Efficient Dua Konstrain Pada 15 Saham Indeks LQ45 Fariz Rivalno; Dewi Murni; Riry Sriningsih
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (228.087 KB) | DOI: 10.24036/unpjomath.v4i1.6295

Abstract

Abstract – Portfolio is an investment tool in stocks that divide capital into a number of stocks according to the weight or percentage determined by the investor. For that, investors need to establish an optimal portfolio. One of the optimal portfolio methods is Mean Variance Efficient Two Constraints Portfolio. The purpose of this study is to obtain a formula for determining the investment weight and its application onMean Variance Efficient Two Constraints Portfolio to obtain minimal investment risk from 15 LQ45 Index stocks. The type of this research is applied research. The type of data is secondary data, in the form of closing pricestocks on the LQ45 Index period of November 9th, 2016 - March 2nd, 2017. Steps in the establishment of a portfolio is calculate the return, average return, variance return, covariance return, and find weight investment through formula on the portfolio. The result of this research is obtained a formula for determining the investment weight on Mean Variance Efficient Two Constraints Portfolio and formed an optimal portfolio on 15 LQ45 Index stocks. The portfolio provides 0.07% average return and 0.01% risk. Keywords –Constraint, LQ45 Index, Portfolio, Return, Stocks
Analisis Sistem Antrian pada Loket Pelayanan Cepat (Fast Track) di Kantor BPJS Kesehatan Cabang Padang Envi Sari Oktaviani; Dewi Murni
Journal of Mathematics UNP Vol 4, No 4 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (646.466 KB) | DOI: 10.24036/unpjomath.v4i4.7915

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Abstract— Queue is a condition when some persons are waiting for their turn for a service, as often occured at the office of BPJS Kesehatan (Healthcare and Social Insurance Security Agency) in Padang because the presence of large numbers of the customers of JKN-KIS (National Healthcare Insurance – Healthy Indonesians Card) program. This research aimed to know what kind of queuing models already applied and how optimum the performance of the queuing system. This research is an applied research using primary data. The data is analysed by way of calculating the average time of arrival of the customers and average time of services, conducting distribution match test by applying Kolmologrov Smirnov test, and then analysis. The research found that the queuing models being applied are: (M/M8):(GD/∞/∞) and the number of officers at the fast track service counters needs to be increased to be more optimal. Keywords— Queue, Kolmologrov Smirnov Test, Single Channel Single Phase, Multiple Channel Single Phase.
Prediksi Peluang Perpindahan Merek Handphone Menggunakan Rantai Markov Di RW 03 Air Tawar Barat Padang Mamad Hardiyanto; Yerizon Yerizon; Dewi Murni
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (869.805 KB) | DOI: 10.24036/unpjomath.v6i1.11556

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Abstract –Variety mobile phone brand on the market,gives a great probability on consumers to make mobile phone brand switching from one brand to another brand. Thus giving a challenge to the mobile phone companies to seek measures should be made to obtain or retain consumers. The purpose of this research was to know Markov chain model on the mobile phone brand switching in RW 03 Air Tawar Barat Padang and the probability handphone brand switching in the future.This type of research is applied research using Markov chain analysis. Based on the research results, obtained from the Markov chain models displacement mobile phone as seen in matrix P and consumer probability switching on several mobile phone brands in the future is the brand “Others” (23.68%), Nokia (21.05%), Samsung (17.21%), Blackberry (13.35%), iPhone (10.13%), Oppo (7.74%), and brand Advan (6.85%). Keywords  – Markov Chain, Probability mobile phone brand switching.Abstract –Variety mobile phone brand on the market,gives a great probability on consumers to make mobile phone brand switching from one brand to another brand. Thus giving a challenge to the mobile phone companies to seek measures should be made to obtain or retain consumers. The purpose of this research was to know Markov chain model on the mobile phone brand switching in RW 03 Air Tawar Barat Padang and the probability handphone brand switching in the future.This type of research is applied research using Markov chain analysis. Based on the research results, obtained from the Markov chain models displacement mobile phone as seen in matrix P and consumer probability switching on several mobile phone brands in the future is the brand “Others” (23.68%), Nokia (21.05%), Samsung (17.21%), Blackberry (13.35%), iPhone (10.13%), Oppo (7.74%), and brand Advan (6.85%). Keywords  – Markov Chain, Probability mobile phone brand switching.
Pengukuran Efisiensi Kinerja Komoditi Industri Sandang Kabupaten Agam Menggunakan Data Envelopment Analysis (DEA) Rahmatika Rahmatika; Dewi Murni; Yerizon Yerizon
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (216.548 KB) | DOI: 10.24036/unpjomath.v4i1.6276

Abstract

Abstract –Clothing industry is the dominant industry inAgam. The performance of the commodities industry clothing can be determined from input and output factors. The measurement of efficiency is a way to see just how efficient use of inputs and outputs. All this time, it has not been done the measurement of efficiency of the performance of clothing industries in Agam. The measurement of the efficiency of the performance of the industries clothing agam purpose to look at the commodities industry efficient or inefisien. The measurement of efficiency can be using by the method of DEA using CRS and VRS model. For a DMU inefisien can be done by doing a calculation DMU improvement targets that leverages the value of slack. The calculation of the value of the target will be the calculation of the efficiency of the back which resulted in the DMU inefisien be efficient.Keywords – Data Envelopment Analysis, DEA CRS, DEA VRS, Slack, Target.
Analisis Faktor-Faktor yang Mempengaruhi Tingkat Pengangguran Terbuka di Sumatera Menggunakan Metode Multivariate Adaptive Regression Spline (MARS) Liska Andani; Dewi Murni
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (673.233 KB) | DOI: 10.24036/unpjomath.v5i4.11097

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bstract— Open Unemployment Rate (OUR) is defined as the percentage ratio of the number of open unemployment to the total labor force. In 2018, for 5 provinces in Sumatra, those are the provinces of Riau Islands, Aceh, Riau, North Sumatra and West Sumatra, the OUR value was relatively high and exceeded the  OUR value in Indonesia, which was 5.34 percent. This study aims to look at the significant factors that influence OUR in Sumatra in 2018 at the best model obtained with research data in the form of secondary data obtained from the BPS-Statistics and analyzed using the Multivariate Adaptive Regression Spline (MARS) method. The best model obtained is the result of a combination of BF= 28, MI= 2, MO= 4 with the Generalized Cross Validation (GCV) value of 0,09413 as the minimum GCV value and the factors that influence the OUR, those are the independent variables X1, X2, X4, X6, and X7 with R 2 adj of 81.4 percent and factors that did not affect the independent variable were the number of households (X3) and the average expenditure per capita a month for food (X5).Keywords— open unemployment rate, MARS, GCV.
Algoritma Genetika pada Optimasi Persoalan Knapsack 0/1 Abdullah Husein; Dewi Murni; Meira Parma Dewi
Journal of Mathematics UNP Vol 6, No 2 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (183.925 KB) | DOI: 10.24036/unpjomath.v6i2.11551

Abstract

Abstract – The problem of 0/1 Knapsack is an issue in the selection of objects from the set of objects that each object have a decision "selected" or "not selected". The decision to choose a object is prioritized by the weight and profit of these objects, for example, to maximize profits or minimize costs. The main issue of this problem, it take to many processes and time to find the optimum solution. Therefore, we need a method and a program to find aproximate solutions to this problem so that decisions can be made quickly with fixed gain maximum profit. The purpose of this study is to obtain an efficient way to finding the optimum solution of this problem. Optimization method that used in this research is genetic algorithm, while the program is made in Python programming language. Based on this research, it is known that the genetic algorithm is able to obtain the optimum solution knapsack problem in a fairly short time.Keywords – 0/1 knapsack problem, finding the optimal solution, genetic algorithm
Karakteristik Distribusi Maxwell-Boltzmann Artina Puspita; Dewi Murni
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v3i1.4657

Abstract

Abstract­ – This study discusses the characteristics of Maxwell-Boltzmann distribution. Each distribution has its own characteristics. The characteristics can be seen in the parameters are mean, variance, skewness, kurtosis, moment generating function and characteristic function. The purpose of this study is to determine the characteristics of the Maxwell-Boltzmann distribution. The steps of this research are looking for the mean, variance, skewness, kurtosis, moment generating function, and characteristic function of the Maxwell-Boltzmann distribution. The results of this research were obtained the parameters of the Maxwell-Boltzmann distribution: mean variance, skewness, kurtosis, generating function of the momen and characteristic function.