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KARAKTERISTIK FUNGSI DISTRIBUSI FOUR-PARAMETER GENERALIZED-t Cahyadi, Rahman; ., Warsono; Usman, Mustofa; Kurniasari, Dian
JURNAL E-DUMATH Vol 2, No 1 (2016)
Publisher : JURNAL E-DUMATH

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research is about the characteristic function of four-parameter generalized tdistribution. Four-parameter generalized t distribution has four parameters whichare μ as a location parameter, σ as a scale parameter, p and q as a shapeparameter, and B as a function of beta. The characteristic function are retrievedfrom the expectation of e itx , where i as a imaginary number. Then, the characteristicfunction of four-parameter generalized t distribution was able to be determined byusing definition and trigonometric expansions. Based on those two methods thisstudy got the same results and then will be continued proving the fundamentalproperties of the characteristic function of four-parameter generalized t distribution.Furthermore, it needs graph simulation on a characteristic function of four-parameter generalized t distribution. Graph simulation result on the characteristicfunction of four- parameter generalized t distribution was formed a closed curve(circle) are smooth.Keywords: four-parameter generalized t distribution, characteristic function,graph simulation
IMPLEMENTASI ALGORITMA BACKTRACK UNTUK PENCARIAN SOLUSI KNIGHT’S TOUR PROBLEM PADA PAPAN CATUR m x n Wamiliana, Wamiliana; Kurniasari, Dian; Yudhistira, Dolly
Jurnal Komputasi Vol 1, No 1 (2013)
Publisher : Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/komputasi.v1i1.397

Abstract

This research discusses about finding all solutions of The Knight's Tour Problem. The steps done by a knight on a chess board forms a path. If the track is able to pass through all points (boxes)  and can return to the original point (box)  is called as Hamilton Cycle, that produces Closed Knight's Tour;  if the path can pass through all the points but can not return to the original point of the track is called as Open Knight's Tour. There are various ways to solve the Knight's Tour Problem, one of which is to use the Backtrack algorithm. In this paper we will discuss of finding all solutions of Knight’s Tour Problem vary from 3x3 up to 8x8 chessboards.Keywords: knight’s tour problem, backtrack algorithm, open and closed knight’s tour
IMPLEMENTASI METODE DYNAMIC PROGRAMMING PADA APLIKASI PENENTUAN JARAK MINIMUM Wamiliana Wamiliana; Dian Kurniasari; Fatkur Rokhman
Jurnal Komputasi Vol 1, No 1 (2013)
Publisher : Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/komputasi.v1i1.393

Abstract

Mathematics and Computer Science are closely related. Many problems that appear in Computer Science’s problems can be solved by using mathematical techniques or concepts; for example, finding the nearest distance, minimum fares, or minimum time. The determination of the minimum value can be found by using of mathematical programming, namely dynamic programming. Nevertheless, there are several another consideration factors such as security roads impassable, the vehicle used, comfortability road infrastructure, and others. Dynamic programming is one of the methods in mathematics which is useful to create a sequence of interrelated decisions, and provides a systematic procedure to determine the optimal combination of a decision. This paper will discuss about dynamic programming that applied in the determination of the minimum distance. Determination of the minimum distance will use an application to make it easier for calculation.Keywords: mathematics, dynamic programming, minimum distance, application
DEVELOPMENT OF INFORMATION DISSEMINATION SYSTEM THROUGH SMS GATEWAY FOR COMMUNITY SERVICE (LPM) OF UNIVERSITY OF LAMPUNG Dian Kurniasari; Kurnia Muludi; Evita Fitriasari
Jurnal Komputasi Vol 3, No 1 (2015)
Publisher : Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/komputasi.v3i1.520

Abstract

Community service programs is one of the three core services (Tri Darma) which is coordinated by LPM of the University of Lampung. Since there are large number of lectures who follow LPM Program, it is needed to have a special strategy for  providing a means of dissemination of information to them. One of the technologies that are very popular among cell phone users is SMS (Short Message Service). The natures of SMS are practical, economical, and efficient to deliver information. SMS is a technology that is used by many people. It is also relatively cheap for message delivery. In this research, Information dissemination system with SMS Gateway is implemented using Gammu and is combined with PHP programming language and MySQL database. The results of the implementation of the system is helpful and easy for lectureres to obtain information about the program of community service where they are joined to.Keywords: Gammu, LPM, MySQL, PHP, SMS (Short  Message Service), SMS Gateway.
Approximations of the Generalized Log-Logistic Distribution to the Chi-Square Distribution Kartika Candra Buana; Warsono Warsono; Dian Kurniasari
IPTEK The Journal for Technology and Science Vol 25, No 1 (2014)
Publisher : IPTEK, LPPM, Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j20882033.v25i1.478

Abstract

The main purpose of this article is to do approximations graphically and mathematically the four-parameter generalized log-logistic distribution, denoted by G4LL(α,β,m_1,m_2), to the one-parameter Chi-square distribution with υ degrees of freedom. In order to achieve this purpose, this article creates graphically the probability density functions of both distribution and derives mathematically the MGF of the both distributions. To prove the MGF of Chi-square as a special case of the MGF of G4LL distribution, we utilized an expansion of the MacLaurin series. The results show that graphically, the Chi-square distribution can be approximated by the generalized log-logistic distribution. Moreover, by letting α=1,β=-ln⁡(2m_2 ),m_1=v/2 and m_2→∞, the MGF of the G4LL distribution can be written in the form of the MGF of the Chi-square distribution. Thus, the Chi-square distribution is a limiting or special case distribution of the generalized log-logistic distribution.The main purpose of this article is to do approximations graphically and mathematically the four-parameter generalized log-logistic distribution, denoted by G4LL(α,β,m_1,m_2), to the one-parameter Chi-square distribution with υ degrees of freedom. In order to achieve this purpose, this article creates graphically the probability density functions of both distribution and derives mathematically the MGF of the both distributions. To prove the MGF of Chi-square as a special case of the MGF of G4LL distribution, we utilized an expansion of the MacLaurin series. The results show that graphically, the Chi-square distribution can be approximated by the generalized log-logistic distribution. Moreover, by letting α=1,β=-ln⁡(2m_2 ),m_1=v/2 and m_2→∞, the MGF of the G4LL distribution can be written in the form of the MGF of the Chi-square distribution. Thus, the Chi-square distribution is a limiting or special case distribution of the generalized log-logistic distribution.
On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution Dian Ekawati; Warsono Warsono; Dian Kurniasari
IPTEK The Journal for Technology and Science Vol 25, No 3 (2014)
Publisher : IPTEK, LPPM, Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j20882033.v25i3.574

Abstract

This research examine about the moments, cumulants, and characteristic function of the log-logistic distribution. Therefore, the purposes of this article are (1) finding moments of the log-logistic distribution by using moment generating function and by definition of expected values of the log-logistic random variable and (2) finding the cumulants and characteristic function of the log-logistic distribution. Log-logistic distribution has two parameters: the shape parameter α and β as a parameter scale. Moments of the log-logistic distribution can be determined by using the moment generating function or the definition of expected value. Cumulants determined by the moments that have been found previously. Furthermore, skewness and kurtosis can be determined from the log-logistic distribution. While the characteristic function is the expected value of e^itx, which I as an imaginary number
PEMBUATAN MEDIA PEMBELAJARAN PENGENALAN TATA SURYA DAN EXOPLANET DENGAN MENGGUNAKAN UNITY UNTUK SEKOLAH MENENGAH PERTAMA Wamiliana Wamiliana; Dian Kurniasari; Jevri Setia Nugraha
Jurnal Komputasi Vol 1, No 1 (2013)
Publisher : Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/komputasi.v1i1.412

Abstract

Technology development currently making human life be more practical. There are many ways to use technology like for entertainment, business, and education. The use of technology in education is still not optimal so that the educational process is still using the old system where students listen and the teachers explain. One of the education technology is to do the process of learning using the  multimedia interactive. Subjects about the solar system is one of the subjects taught in junior high school, but the topics about exoplanets or planets which are outside the solar system are seldom given by the teacher. Most junior high school used the interactive multimedia to help learning process but it is still 2D-based and only gave topics about the solar system. Therefore, in this paper we discused about the design and development of an interactive multimedia which contains topics about solar system and exoplanets with animated interactive multimedia in 3D-based. This application will be more attractive, and the users can use it interactively.Keywords: 3D-based interactive multimedia, education, solar system and exoplanet, technology development.
Pendugaan Parameter Model Produksi Constant Elasticity of Subtitutions (CES) dengan Metode Kuadrat Terkecil Nonlinear Dian Kurniasari; Noferdis Setiawan; Warsono Warsono; Yeftanus Antonio
Prosiding Seminar Nasional Teknoka Vol 2 (2017): Prosiding Seminar Nasional Teknoka ke - 2
Publisher : Fakultas Teknik, Universitas Muhammadiyah Prof. Dr. Hamka, Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (261.463 KB)

Abstract

Tujuan dari penelitian ini adalah memperoleh nilai dugaan dari model produksi Constant Elasticity Subtitutions (CES) secara intrinsik nonlinear. Model produksi CES didefinisikan dengan -. Metode kuadrat terkecil nonlinear digunakan untuk menduga model produksi CES. Persamaan yang diperoleh dengan metode kuadrat terkecil nonlinear tidak dapat diselesaikan secara analitik. Untuk menyelesaikan masalah tersebut digunakan metode iteratif Newton Raphson. Model produksi CES yang diperoleh dari hasil studi dengan menggunakan data adalah - . Simulasi yang dilakukan dengan metode ini menunjukan bias untuk masing-masing parameter adalah =-1.021, = -0.0054, = 0.0675 dan = 0.0955. Hasil tersebut menunjukan metode kuadrat terkecil nonlinear cekup baik untuk menduga parameter pada model produksi CES.
Peramalan Data Time Series Seasonal Menggunakan Metode Analisis Spektral Anis Mahfud Al’afi; Widiarti Widiarti; Dian Kurniasari; Mustofa Usman
Jurnal Siger Matematika Vol 1, No 1 (2020): Jurnal Siger Matematika
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (310.565 KB) | DOI: 10.23960/jsm.v1i1.2484

Abstract

Air transportation is now a mode of transportation that is often the first choice. Although the transportation costs are relatively expensive, it can save a lot of time to get to the destination. Therefore, predicting the number of aircraft passengers is an interesting thing to study. In this study forecasting the number of aircraft passengers at Raden Intan II Airport using spectral analysis methods. Spectral analysis is used to obtain more complete information about the time series data characteristics to examine the periodicity. After getting the periodicity the data is modeled using the ARIMA Seasonal Method. Based on the analysis results it is known that the best model for forecasting aircraft passengers at Raden Intan II Airport is Seasonal ARIMA (0,1,1) (0,1,1)3
PERAMALAN JUMLAH KLAIM DI BPJS KESEHATAN CABANG METRO MENGGUNAKAN METODE DOUBLE EXPONENTIAL SMOOTHING Anisa Fitriyani; Mustofa Usman; Muhammad Taufiq Sofrizal; Dian Kurniasari
Jurnal Siger Matematika Vol 3, No 1 (2022): Volume 3 No 1
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (522.147 KB) | DOI: 10.23960/jsm.v3i1.2969

Abstract

Peramalan merupakan suatu proses atau metode dalam  meramal suatu peristiwa yang akan terjadi pada masa yang akan datang. Exponensial smoothing adalah suatu metode peramalan rata-rata bergerak yang melakukan pembobotan menurun secara eksponensial terhadap nilai observasi yang lebih lama. Pada penelitian ini membahas tentang metode yang lebih baik dalam peramalan yaitu antara metode double exponential smoothing satu parameter dari Brown dan double exponential smoothing dua parameter dari Holt dalam meramalkan jumlah klaim pasien rawat inap RS Islam Metro yang diajukan ke BPJS Kesehatan cabang Metro. Melalui trial and error dihasilkan untuk double exponential smooting satu parameter dari Brown yaitu α = 0,11dengan nilai MAPE sebesar 19.89. Sedangkan metode double exponential smooting dua parameter dari Holt dengan α = 0,1 dan g= 0.1 menghasilkan nilai MAPE sebesar 19.60, sehingga metode double exponential smooting dua parameter dari Holt  menjadi metode terbaik yang digunakan dalam meramalkan jumlah kasus rawat inap RS Islam Metro karena memiliki nilai MAPE yang lebih kecil. Setelah dilakukan peramalan menggunakan metode double exponential smooting dua parameter dari Holtmenghasilkan ramalan jumlah peserta pada bulan Desember 2021 adalah 91 kasus, bulan Januari 2022 adalah 83, bulan Februari 2022 adalah 75, bulan Maret 2022 adalah 68, dan April 2022 adalah 60.Double Exponential Smoothing Dua Parameter dari Holt, Double Exponential Smoothing Satu Parameter dari Brown, MAPE