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Proses Optimasi Masalah Penugasan One-Objective dan Two-Objective Menggunakan Metode Hungarian Diang Dewi Tamimi; Ika Purnamasari; Wasono Wasono
EKSPONENSIAL Vol 8 No 1 (2017)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Assignment problem is a situation where m workers are assigned to complete n tasks/jobs to minimize costs and time or maximize profits and quality by setting the proper task to each worker. Many researches have been focused to solve assignment problem, but most of them only consider one-objective such as minimizing the cost of operation. Two-objectiveassignment problem is the assignment problem that has two objectives optimization of some of the resources owned by each worker to complete every task/job which are cost and time for this case. Case in this research use primary data drawn from the interviews of Rattan furniture craftman in Rotan Sejati store, Samarinda. This research will optimize the one-objective and two-objective assignment problem by using Hungarian Method. The analysis result revealed that the optimization proccess of one-objective assignment problem only considering operation cost is Rp. 2.950.000,- with total time is 63 days. The optimization proccess of one-objective assignment problem only considering operation time is Rp. 3.290.000,- with total time is 52 days. The optimization proccess of one-objective assignment problem only considering quality is Rp. 3.550.000,- with total time is 59 days. The optimization proccess of two-objective assignment problem only considering operation cost and operation time is Rp. 3.170.000,- with total time is 52 days. The optimization proccess of two-objective assignment problem only considering operation cost and quality is Rp. 3.380.000,- with total time is 61 days. The optimization proccess of two-objective assignment problem only considering operation time and quality is Rp. 3.350.000,- with total time is 59 days.
Penerapan Metode Full-Profile Dalam Pengumpulan Data Untuk Analisis Konjoin Roy Tridoni Situmorang; Desi Yuniarti; Ika Purnamasari
EKSPONENSIAL Vol 9 No 2 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Conjoint analysis is an analytical technique that is used to examine the impact of attributes of goods or service. Conjoint analysis can be applied to know the attribute that become the main choice of student of Mulawarman University in choosing GSM prepaid card product. Where the attribute used are SMS tariff, phone tariff, internet package, signal and bonuses. The purpose of this study is to know the combination of attribute level which is most interested by student and relative importance value from each attribute. The result of this study is the combination of attributes of the GSM prepaid card that the student are interest in are the SMS package tarif with the utility value is 1,445, the phone tarif per minute with the utility value is 0,525, full 4G internet package with the utility value is 2,51, strong signal with the utility value is 1,895, SMS bonus with the utility value is 1,42. The attribute that become the student’s preferred choice in choosing GSM prepaid card is internet package with the relative importance value is 0,352.
Penentuan Besaran Premi Asuransi Jiwa Berjangka dengan Model True Fractional Premiums Muhammad Al-Firdaus Erdian; Ika Purnamasari; Wenny Kristina
EKSPONENSIAL Vol 9 No 1 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (451.092 KB) | DOI: 10.30872/eksponensial.v9i1.271

Abstract

The model of the payment of life insurance premium that can be paid more than once a year is called fractional premiums. This model consists of two types, namely true fractional premiums and apportionable premium. The true fractional premiums is divided into two models of payment of compensation, namely discrete payment model and continuous payment model. This study aims to find out the comparison of 20 years life insurance premium with true fractional premiums model based on gender and number of payments made in a year from both payment models. The data used in this research is the simulation data. Based on the research result, it is found that the amount of life insurance premium using discrete compensation payment model is cheaper than the one using the continuous payment model. While based on gender, the premium of male is more expensive than female. Based on the amount of payments made in one year, payments made each month are more expensive than the payments made each quarter and semester.
Penerapan Metode Choice Based Conjoint Hidaya Annur; Desi Yuniarti; Ika Purnamasari
EKSPONENSIAL Vol 10 No 1 (2019)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Lecturer is an important factor in the process of teaching and learning process in universities. This study was conducted with the aim to know the characteristics of students of Statistics Program Department of Mathematics at FMIPA Mulawarman University on the characteristics of the expected lecturers. One method that can be used to know the options is the conjoint-based optional method. Choice Based Conjoint (CBC) is a conjoint analysis that measures preferences based on conceptual choices and is used to determine the concept of attributes of lecturer characteristics expected by students. Attributes used in this study are the background of lecturers, lecturer characters, learning methods and interaction in the class. The data analysis technique used in the conjoint-based optional method is the conditional logit model. The result of CBC analysis shows that the attribute that is considered most important by the respondents based on attribute importance value is classroom interaction with percentage of 48,41% and seen from the value of the utility of interaction in the class with a positive value is the interaction in the active class with a value of 1.331. The characteristics of lecturers that are expected to be possessed by lecturers are casual lecturer character, last doctoral education, creative teaching methods and active classroom interaction.
Penerapan Metode Projected Unit Credit dan Entry Age Normal pada Asuransi Dana Pensiun Bayu Nanda Permana; Yuki Purnamasari; Ika Purnamasari
EKSPONENSIAL Vol 7 No 2 (2016)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Actuarial calculation method in pension funding is divided into two major categories, namely Accrued Benefit Cost Method and Projected Benefit Cost Method. One example method which is included in Accrued Benefit Cost Method is the Projected Unit Credit Method, and one of the method which is included in Projected Benefit Cost Method is the Entry Age Normal Method. Both methods are used to determine the amount of normal cost and actuarial liabilitiy which are the basis in determining pension benefits. The purpose of this study was to compare the value of normal cost and actuarial liabilities of the two methods. The data used in this research is the employee data from PT. INHUTANI I Berau Branch. The result showed that normal cost using Projected Unit Credit method continued increases with the salary received, meanwhile if using the Entry Age Normal method the amount of normal cost is same for each year to an employee. On the other hand, actuarial liability using Projected Unit Credit Method is smaller than using Entry Age Normal for each employee in each year.
Deteksi Pencilan Spasial pada Data Kandungan Klorida di Sungai Mahakam Wilayah Samarinda Kalimantan Timur Muhammad Jainudin; Memi Nor Hayati; Ika Purnamasari
EKSPONENSIAL Vol 10 No 2 (2019): Jurnal Eksponensial
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Spatial data is data presented in the geographical position of an object, relating to the location in the space of the earth. In spatial data often have conditions that are not reasonable because the existence of outlier. Outlier referred to are spatial outlier that are defined as local instability or spatial objects that describe relatively extreme non-spatial attributes or differ significantly from other objects. The existence of outlier can have an impact on the results of model parameter estimates for example, which causes the estimation results to be biased. One method of outlier detection is spatial statistic Z test. This research aims to detect outlier chloride level data in seven locations on the Mahakam River of Samarinda area using spatial statistic Z test method. Based on the calculations with a significance level of 5% from the seven locations, there is one location which is outlier at the location IPA Tirta Kencana value equal to Zhit is 1.997.
Prediksi Data Curah Hujan Dengan Menggunakan Statistika Non Parametrik Gracia Indah Fajarini; Ika Purnamasari; Sri Wahyuningsih
EKSPONENSIAL Vol 9 No 2 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Rainfall data analysis is the first stage of a water resource planning. One of rainfall data analysis method is using rain frequency analysis. In this research, rainfall frequency analysis is used to prediction the probability of occurrence from hydrological event. The maximum monthly rainfall frequency distribution is affects to rainfall during high repeat periods. Rainfall is the amount of water that falls on a flat surface during certain repetitive periods. Secondary data is got from Temindung Station of Samarinda City on 2007 to 2016. The type of distribution are used Normal, Gumbel, Log Pearson Type III, and Log Normal. Compatibility test of Non Parametric Statistics using Chi Square method. The results showed if the estimated rainfall at the highest repeating period of 2, 5, 10, 25, 50, and 100 years is Log Normal distribution. The distribution that requirement of qualify criteria is Log Normal and Gumbel distribution. The distribution that fit from Chi Square test is Gumbel distribution is 3,5177 and Log Normal distribution is 6,8945. From Kolmogorov Smirnov test the value of Gumbel distribution is 0, and Log Normal distribution is 0,0805. Rainfall patterns for Normal distribution, Gumbel distribution, Pearson Log distribution Type III and Log Normal distribution are horizontal patterns.
Penjadwalan Proyek Dengan Metode Program Evaluation and Review Technique (PERT) Nur Annisa Roziya; Ika Purnamasari; Wasono Wasono
EKSPONENSIAL Vol 9 No 2 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (541.805 KB) | DOI: 10.30872/eksponensial.v9i2.305

Abstract

Project scheduling is one of the techniques developed in operations research to solve management problems to obtain optimal solutions. One of the methods used for project scheduling is the method of Program Evaluation and Review Technique (PERT). In PERT method, three time estimates are used, that is optimistic time (a), pessimistic (b), and realistic (m). In this study, PERT method is used to determine the optimal duration and probability value of the completion of the Grand Sangatta housing project on house type 36 which is sourced from CV Miftah Collection. The data obtained are primary data and interview. Based on the results of the analysis, it can be know the activities that are on the critical path are the activities of making the foundation (B), concrete (D), wall (E), roof (H), ceiling (I), and painting (L). The minimum time duration of completion of type 36 homes is 34 days with a 50% confidence level which was originally scheduled for 60 days.
Perbandingan Hasil Klasifikasi Menggunakan Regresi logistik dan Analisis Diskriminan Kuadratik Pada Kasus Pengklasifikasian Jurusan Di SMA Negeri 8 Samarinda Tahun Ajaran 2014/2015 Cristine Uli Artha; Yuki Novia Nasution; Ika Purnamasari
EKSPONENSIAL Vol 7 No 2 (2016)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Logistic Regression Analysis and Discriminant Analysis represent the statistical method for the classification of a number of object. In the case of classification especially if there's only two response categories, logistic regression is used more precisely if the assumption of multivariate normality in data cannot be fullfiled. The assumption of normality multivariate distribution and equality of variance covariance matrices represent the important matter in discriminant analysis for getting of high accuracy of classification. Discriminant analysis method that is used in inequality of variance covariance matrices is called quadratic discriminant analysis. The purpose of this study was to determine the classification results by using Logistic Regression and Quadratic Discriminant Analysis and compares the classification accuracy. The data that is used in the study is the average raport of the first and second semester of the class X at SMA Negeri 8 Samarinda academic year 2014/2015. Data consists of 190 students with two independent variables and four dependent variables. Based on research results, obtained results for the value of class accuracy is Logistic Regression 83.16% and Quadratic Discriminant Analysis 84.21%.
Penerapan Metode Vogel’s Approximation Method (VAM) dan Modified Distribution (MODI) Dalam Penyelesaian Transshipment Problem Aisyah Aisyah; Ika Purnamasari; Yuki Novia Nasution
EKSPONENSIAL Vol 9 No 2 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Transshipment method is an extension of the transportation method. The method of transhipment itself can not be directly to the destination becausethe goodstransported must experience transit, while the method of transporting direct shipment from factory to destination. The data used in this study is data that has been obtained from PT. Nestle Balikpapan Where the data is processed by using the VAM method as a method of initial solution and MODI Method as a Final solution, the data aims to find out whether by using both of methods can reduce operational cost of PT. Nestle Balikpapan and the difference of operational cost before application and after using both of that method. Based on the results of the research can be obtained that by using the Initial Solution Solution with VAM can minimize the cost of 43,54% of the initial cost and continued with the final Solution Method that is MODI for the optimality testing by reduced 44,14%