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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.
Penyelesaian Assignment Problem Dengan Menggunakan Metode Program Dinamis Franklin Peter Anton Karundeng; Ika Purnamasari; Desi Yuniarti
EKSPONENSIAL Vol 12 No 2 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (590.358 KB) | DOI: 10.30872/eksponensial.v12i2.806

Abstract

Assignment problem that maximize profits or minimize time, distance and cost by placing the appropiate workforce with ability. Solving the assignment problem can be done by dynamic program method. To apply the dynamic program method the number of sources assigned should be equal to the number of tasks to be completed.Otherwise each source should be assigned only for one task. The purpose of this study is to determine the minimum total time of completion of work and know the assignment of employees has been optimal. The data used is the time of assignment of employees completing the work on the worksop in showroom CV. Sinar Utama of Samarinda. From the analysis result using dynamic program method obtained by total completion time of 85 minutes and by looking at the comparison before and after using dynamic program method that total employee assignment time by using dynamic program method equal to 257 minutes and before using dynamic program method that is equal to 530 minutes. It can be concluded that the total minimum work completion time of 85 minutes and based on the comparison before and after using the dynamic program method idicates that the assignment of employee has been optimal.
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.
Penentuan Rute Terpendek dengan Menggunakan Metode Algoritma Clarke and Wright Savings Dwi Kartika Damayanti; Ika Purnamasari; Wasono Wasono
EKSPONENSIAL Vol 12 No 1 (2021): Jurnal Eksponensial
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Operations research is a method regarding retrieval optimal decisions in the modeling of systems, both deterministic or probabilistic orginating from real life. One of the operations research methods is The Clarke and Wright savings algorithm, which is an exchange procedure, where a set of route at each step is exchange to get a better set of routes. This method is often referred to as a method. In this research, the Clarke and Wright savings algorithm is used to find out the distribution route and the minimum costs incurred on saving. On distribution of Bottled Water (AMDK) to determine how large savings that occur on the distribution route AMDK. Bottled Water (AMDK) is drinking water that is ready to be consumed directly without having to go through the heating process first. To determine the distribution route using the Clarke and wright savings method, a depot distance matrix is made to customer and from the customer to the customer and then continues to make the clarke and wright savings matrix. After searching for the shortest route using the clarke and wright savings method, the savings value is obtained to determine the customer’s route by sorting from the largest to the smallest value. In region 1 there were 5 trips with a total distance of 210.21 km, in region 2 there were 4 trips with a total distance of 191.35 km, in region 3 there were 5 trips with a total distance of 143.85 km, in region 4 there were 5 routes with a total distance 108.24 km, and in region 5 6 trips were obtained with a total distance of 113.95 km. The total distance travelled to deliver gallons to all routes is 767.59 km.
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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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.
Penerapan Latent Class Regression Analysis dalam Segmentasi Pasar Musmirani Musmirani; Ika Purnamasari; Suyitno Suyitno
EKSPONENSIAL Vol 11 No 1 (2020): Jurnal Eksponensial
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Cluster analysis is a method of grouping observation objects into several classes. One method of mixed-scale data grouping is Latent Class Regression Analysis (LCRA). The purpose of this research is to classify the opinion of Wardah's product consumers on marketing strategies (product aspects, price aspects, location aspects, and promotion aspects) PT. Paragon Technology and Innovation Regional Samarinda in 2017 with covariate variables arelength of subscription, type of work and age of consumers. Estimation of LCRA using the Expectation Maximization (EM) method, solved by the Newton-Raphson method. The result of LCRA analysis that based on consumer opinion on market segmentation, consumers are grouped into two classes.The first class is 31 consumers that strongly agrees the aspects of product, price, promotion and position are appropriate market segmentation, and the second class is 69 that quite agrees product aspects, prices, promotion and position is the appropriate market segmentation.
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.
Penentuan Jalur Terpendek dengan Metode Heuristik Menggunakan Algoritma Sarang Semut (Ant Colony) Alfian Hidayat; Ika Purnamasari; Meiliyani Siringoringo
EKSPONENSIAL Vol 11 No 1 (2020): Jurnal Eksponensial
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

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Abstract

Ant Colony algorithm was adopted from the behavior of ant colonies, known as the system of ants, ant colonies are naturally able to find the shortest route on their way from nest to food source places. Colony of ants can find shortest route between the nest and food sources based on the trajectory of footprints that have been passed. The density of ant footprints on the path is always updating because of the evaporation of the footprints and the determination of ant pathways using probability calculations. This study aims to determine the results of determining the shortest path using the ant colony algorithm as the best route from the Samarinda City secondary arterial road with the route starts from Slamet Riyadi road to DI Panjaitan road. Based on the results of the study using the ant colony algorithm obtained the shortest path of 8.307 kilometers with footprint density of 1.005.