scholarly journals SISTEM PENDUKUNG KEPUTUSAN PREDIKSI JUMLAH PENUMPANG UNTUK EVALUASI KAPASITAS HALTE BUS TRANS JOGJA DENGAN METODE EXPONENTIAL SMOOTHING DAN LEAST SQUARE

Compiler ◽  
2013 ◽  
Vol 2 (1) ◽  
Author(s):  
Dwi Prasetiyo ◽  
Anton Setiawan Honggowibowo ◽  
Yuliani Indrianingsih
Keyword(s):  
Time Series ◽  
Waiting Time ◽  
Exponential Smoothing ◽  
Small Error ◽  
Least Square ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Bus Stop ◽  
Trend Forecasting ◽  
Bus Stops

The increasing number o f passengers Trans Jogja bus stops can result in the existing capacity can not accommodate the number of passengers comfortably. Problems that often arise include delays resulting bus passenger waiting time is longer and there is a buildup of the number of passengers at stops. As a result of these problems, the capacity o f passenger stops can be full so that prospective passengers waiting outside the bus stop. Forecasting is one very important element in the decision. In this study using stationary and trend forecasting the data because the data are not significant changes between time and swell in certain periods and a normal in periods others. Time series methods for forecasting the number o f passengers on the Trans Jogja stop using exponential smoothing calculation and least square. From these calculations the value sought MAD (Mean Absolute Deviation) or least square error is exponential smoothing and forecasting results with small error. Forecasting will be better if it contains fewer possible errors.

scholarly journals COMPARISON OF SOME STATISTICAL FORECASTING TECHNIQUES WITH GMDH PREDICTOR: A CASE STUDY

2018 ◽  
Vol 47 (1) ◽  
pp. 16-21 ◽  
Author(s):  
Syed Misbah Uddin ◽  
Aminur Rahman ◽  
Emtiaz Uddin Ansari
Keyword(s):  
Time Series ◽  
Mean Square Error ◽  
Moving Average ◽  
Exponential Smoothing ◽  
Mean Absolute Percentage Error ◽  
Percentage Error ◽  
Mean Absolute Deviation ◽  
Mean Square ◽  
Absolute Deviation ◽  
Absolute Percentage Error

Demand forecasts are extremely important for manufacturing industry and also needed for all type of business and business suppliers for distribution of finish products to the consumer on time. This study is concerned with the determination of accurate models for forecasting cement demand. In this connection this paper presents results obtained by using a self-organizing model and compares them with those obtained by usual statistical techniques. For this purpose, Monthly sales data of a typical cement ranging from January, 2007 to February, 2016 were collected. A nonlinear modelling technique based on Group Method of Data Handling (GMDH) is considered here to derive forecasts. Forecast were also made by using various time series smoothing techniques such as exponential smoothing, double exponential smoothing, moving average, weightage moving average and regression method. The actual data were compared to the forecast generated by the time series model and GMDH model. The mean absolute deviation (MAD, mean absolute percentage error (MAPE) and mean square error (MSE) were also calculated for comparing the forecasting accuracy. The comparison of modelling results shows that the GMDH model perform better than other statistical models based on terms of mean absolute deviation (MAD), mean absolute percentage error (MAPE) and mean square error (MSE).

scholarly journals Intelligent Buses in a Loop Service: Emergence of No-Boarding and Holding Strategies

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-18 ◽  
Author(s):  
Vee-Liem Saw ◽  
Luca Vismara ◽  
Lock Yue Chew
Keyword(s):  
Reinforcement Learning ◽  
Phase Difference ◽  
Waiting Time ◽  
Learning Process ◽  
Average Waiting Time ◽  
Bus Stop ◽  
Emergent Behaviour ◽  
Reasonable Amount ◽  
Bus Stops ◽  
Simulation Time

We study how N intelligent buses serving a loop of M bus stops learn a no-boarding strategy and a holding strategy by reinforcement learning. The no-boarding and holding strategies emerge from the actions of stay or leave when a bus is at a bus stop and everyone who wishes to alight has done so. A reward that encourages the buses to strive towards a staggered phase difference amongst them whilst picking up passengers allows the reinforcement learning process to converge to an optimal Q-table within a reasonable amount of simulation time. It is remarkable that this emergent behaviour of intelligent buses turns out to minimise the average waiting time of commuters, in various setups where buses move with the same speed or different speeds, during busy as well as lull periods. Cooperative actions are also observed, e.g., the buses learn to unbunch.

scholarly journals Penerapan Single Exponential Smoothing (SES) dalam Perhitungan Jumlah Permintaan Air Mineral Pada PT. Akasha Wira International

2020 ◽  
Vol 3 (2) ◽  
pp. 87
Author(s):  
Lolyka Dewi Indrasari
Keyword(s):  
Mineral Water ◽  
Forecast Error ◽  
Exponential Smoothing ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Forecasting Error ◽  
Data Value ◽  
Forecast Data ◽  
Projection Error ◽  
Single Exponential

Daily needs that are priceless but useful for health one of which is mineral water. The need for mineral water increases with the high demand in the market. The purpose of this study was to determine the forecasting of the number of requests for 330 ml shortneck mineral water products in the future using the Single Exponential Smoothing (SES) method. Limitation of the problem is discussing the number of requests in the first half of 2020, the data used were obtained from PT. Akasha Wira International from January 2014 to December 2019. The analytical method is to calculate the forecast error value of the different 𝛼 values to find one value that produces the smallest error with the calculation method Mean Absolute Deviation (MAD) and Single Exponential Smoothing (SES) can interpreted based on the calculation stage where the forecast data value in the period 𝑡 + 1 is the actual value in the period t plus the adjustment derived from forecasting error that occurred in the period t. The results obtained on the value of Mean Absolute Deviation (MAD) are taken at a = 0.9 because it produces the smallest value of the projected data projection error of 1860 units. Whereas in forecasting requests using Single Exponential Smoothing (SES), 330 ml shortneck mineral water in the first half of 2020 amounted to 2177634 units. Keyword : Mean Absolute Deviation, Single Exponential Smoothing, shortneck.Kebutuhan sehari – hari yang tidak ternilai harganya tapi berguna bagi kesehatan salah satunya adalah air mineral. Kebutuhan air mineral meningkat seiring dengan tingginya permintaan pada pasar. Tujuan penelitian ini, yaitu untuk mengetahui peramalan jumlah permintaan pada produk air mineral 330 ml shortneck dimasa mendatang menggunakan metode Single Exponential Smoothing (SES). Batasan masalah yaitu membahas jumlah permintaan dimasa mendatang semester I 2020, data yang digunakan diperoleh dari PT. Akasha Wira International pada Januari 2014 sampai dengan Desember 2019. Metode analisis yaitu Menghitung nilai kesalahan peramalan terhadap nilai 𝛼 yang berbeda beda untuk menemukan satu nilai 𝛼 yang menghasilkan kesalahan terkecil dengan metode perhitungan Mean Absolute Deviation (MAD) dan Single Exponential Smoothing (SES) dapat diartikan berdasarkan tahapan perhitungannya dimana nilai data ramalan pada periode 𝑡 + 1 merupakan nilai actual pada periode t ditambah dengan penyesuaian yang berasal dari kesalahan nilai peramalan yang terjadi pada periode t. Didapatkan hasil pada nilai Mean Absolute Deviation (MAD) diambil pada a = 0,9 karena menghasilkan nilai kesalahan proyeksi data pemrintaan paling kecil yaitu 1860 unit. Sedangkan pada peramalan permintaan menggunakan Single Exponential Smoothing (SES), air mineral 330 ml shortneck pada semester I tahun 2020 sebesar 2177634 unit.  Kata Kunci: Mean Absolute Deviation, Single Exponential Smoothing, shortneck 

scholarly journals Aplikasi Triple Exponential Smoothing Untuk Forecasting Jumlah Penduduk Miskin

2020 ◽  
Vol 3 (2) ◽  
pp. 76-82
Author(s):  
Padrul Jana
Keyword(s):  
Poverty Reduction ◽  
Mean Squared Error ◽  
Exponential Smoothing ◽  
Mean Absolute Percentage Error ◽  
Percentage Error ◽  
Poor People ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Absolute Percentage Error ◽  
The Government

This study aims to predict the number of poor in Indonesia for the next few years using a triple exponential smoothing method.The purpose of this research is the result of the forecast number of poor people in Indonesia accurate forecast results are used as an alternative data the government for consideration of government to determine the direction of national poverty reduction policies. This research includes the study of literature research, by applying the theory of forecasting to generate predictions of poor people for coming year. Furthermore, analyzing the mistakes of the methods used in terms of the count: Mean Absolute Deviation (MAD), Mean Square Error (MSE), Mean absolute percentage error (MAPE) and Mean Percentage Error (MPE). The function of this error analysis is to measure the accuracy of forecasting results that have been conducted.These results indicate that the number of poor people in 2017 amounted to 24,741,871 inhabitants, in 2018 amounted to 24,702,928 inhabitants, in 2019 amounted to 24,638,022 inhabitants and in 2020 amounted to 24,547,155 people. The forecasting results show an average reduction in the number of poor people in Indonesia last five years (2016-2020 years) ranges from 0.16 million. Analysis forecasting model obtained an mean absolute deviation (MAD) obtained by 0.246047. Mean squared error (MSE) of forecasting results with the original data by 1.693277. Mean absolute percentage error (MAPE) of 3.040307% and the final Mean percentage error (MPE) of 0.888134%.Kata Kunci: Forecasting, Triple Exponential Smoothing

scholarly journals SISTEM PENDUKUNG KEPUTUSAN DALAM PEMILIHAN MODEL DENGAN MENGGUNAKAN METODE TIME SERIES

2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Noer Chamid ◽  
Muhammad Ainul Yaqin ◽  
Nailul Izzah
Keyword(s):  
Time Series ◽  
Moving Average ◽  
Mean Absolute Percentage Error ◽  
Percentage Error ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Trend Line ◽  
Absolute Percentage Error

Analisis time series antara lain memahami dan menjelaskan mekanisme tertentu, meramalkan suatu nilai di masa depan dan mengoptimalkan sistem kendali. Dalam pengambilan keputusan yang menggunakan analisis time series tersebut perlu menggunakan software yang prabayar seperti Minitab, SPSS dan SAS sehingga perlu pembuatan sistem informasi yang mendukung keputusan dalam analisis tersebut. Sistem informasi yang dibuat tersebut akan dilakukan uji coba terhadap kehandalan dan diimplementasikan dalam pengambilan keputusan untuk menentukan penyusunan target pendapatan asli daerah di pemerintah daerah atau data lainnya. Model yang digunakan dalam menduga adalah dengan menggunakan 4 (empat) metode, yaitu : Metode Moving Average, Metode Eksponential Smooting, Metode Linier Trend Line dan Seasonal Adjusment. Dari 4 (empat) metode tersebut, dapat dipilih model yang terbaik dengan menggunakan kriteria menentukan nilai Mean Absolute Deviation (MAD) dan Mean Absolute Percentage Error (MAPE) yang terkecil. Sistem informasi yang dibuat tersebut sudah dilakukan uji coba terhadap kehandalan dan diimplementasikan dalam pengambilan keputusan untuk menentukan penyusunan target pendapatan asli daerah di pemerintah daerah. Sistem Pendukung Keputusan ini dapat dijadikan sebagai tool dalam membuat rekomendasi sebuah keputusan.Kata Kunci: Time Series, Sistem Pendukung Keputusan, Pendapatan Asli Daerah                                                                       

ANALISIS PERENCANAAN PENJUALAN DENGAN METODE TIME SERIES (STUDI KASUS PADA PD. SUMBER JAYA ALUMINIUM)

2019 ◽  
Vol 3 (7) ◽  
pp. 780-789
Author(s):  
Lingga Yuliana
Keyword(s):  
Time Series ◽  
Mean Square Error ◽  
Mean Absolute Deviation ◽  
Mean Square ◽  
Absolute Deviation

Penjualan dan produksi adalah dua hal yang saling berkaitan dan tidak dapat terpisahkan didalam suatu pengoperasian perusahaan, didalam memproduksi suatu produk perusahaan harus melihat tersedia dalam gudang / penyimpanan serta beberapa jumlah yang akan dijual. Disebabkan dengan hal tersebut maka perusahaan perlu melakukan peramalan penjualan (sales forecasting). Tujuan dalam penelitian ini menentukan metode peramalan yang tepat berdasarkan tingkat kesalahan terkecil berdasarkan nilai Mean Absolute Deviation (MAD), Mean Square Error (MSE) dan Mean Absolute Procentage Error (MAPE). Penelitian ini menunjukkan bahwa plot data peramalan penjualan rak piring menunjukkan kecenderungan naik (trend). Metode peramalan yang dianggap terbaik terdapat pada metode winter multiplikatif, karena tiga nilai kesalahan (error) yang diuji yaitu MAD, MSE dan MAPE menunjukkan tingkat kesalahan yang paling kecil dengan metode tersebut. Nilai kesalahan yang ditunjukkan dalam penelitian ini, dimana nilai MAD sebesar 73,5, nilai MSE sebesar 10137,7 dannilai MAPE sebesar 4,9.

scholarly journals Peramalan Penerbitan Ijin Mendirikan Bangunan Dengan Single Moving Average Dan Exponential Smoothing

2019 ◽  
Vol 18 (2) ◽  
Author(s):  
Yogha Pramana ◽  
Rukmi Sari Hartati ◽  
Komang Oka Saputra
Keyword(s):  
Mean Square Error ◽  
Moving Average ◽  
Exponential Smoothing ◽  
Mean Absolute Deviation ◽  
Mean Square ◽  
Absolute Deviation ◽  
Percent Error ◽  
Mean Absolute Percent Error ◽  
Mean Error ◽  
Absolute Percent Error

Ijin Mendirikan Bangunan adalah ijin yang diberikan oleh Kepala Daerah pada pemilik bangunan untuk mendirikan bangunan, mengubah, memperluas, mengurangi atau merawat bangunan sesuai dengan persyaratan administratif dan persyaratan teknis yang berlaku. Peramalan adalah merupakan perkiraan mengenai terjadinya suatu kejadian pada masa depan. Peramalan merupakan sebuah alat bantu yang penting dalam perencanaan yang efesien dan efektif. Prosesnya untuk mengetahui kebutuhan di masa datang antara lain kebutuhan ukuran kuantitas, kualitas, waktu dan lokasi untuk pemenuhan permintaan barang ataupun jasa. Peramalan merupakan bagian awal dari pengambilan suatu keputusan akhir. Data Ijin Mendirikan Bangunan (IMB) di hitung dengan metode Simple Moving Average dan Exponential Smoothing untuk mengetahui nilai dari Mean Error, Mean Absolute Deviation, Mean Square Error, Standar Error, Mean Absolute Percent Error.

scholarly journals Peramalan Perencanaan Produksi Batu Tela Dengan Metode Exponential Smoothing (Studi Kasus Pada CV. Sinar Sowi Kabupaten Manokwari)

2019 ◽  
Vol 2 (2) ◽  
pp. 54-59
Author(s):  
Suwoko ◽  
Dirarini Sudarwadi ◽  
Nurwidianto
Keyword(s):  
Mean Square Error ◽  
Exponential Smoothing ◽  
Smoothing Method ◽  
Mean Absolute Deviation ◽  
Mean Square ◽  
Absolute Deviation ◽  
Forecasting Error ◽  
Alpha Models ◽  
The Mean ◽  
Exponential Smoothing Method

This study aims to find out how much forecasting the production of concrete brick at CV. Sinar Sowi. The data analysis method used is the Exponential Smoothing method by using forecasting error measurements namely Mean Square Error (MSE) and Mean Absolute Deviation (MAD). From the data that has been analyzed, the writer can conclude that the use of alpha model 0.1 Exponential Smoothing method, the value of the Exponential Smoothing method, the value of Mean Square Error is 11,114,950 and the value of Mean Absolute Deviation is 962. The use of alpha 0.5 model Exponential Smoothing method, the value of Mean Square Error is 1,114,776 and the value of Mean Absolute Deviation is 305. While the use of the alpha 0.9 model is Exponential Smoothing, the Mean Square Error value is -9.374 and the Mean Absolute Deviation value is -28. Of the three existing alpha models, namely 0.1; 0.5 and 0.9, then what will be used in forecasting is alpha 0.9 because the error value is the lowest, namely the Mean Square Error of -9,374 and Mean Absolute Deviation is -28. From the calculation of concrete brick forecasting at CV. Sinar Sowi in Manokwari Regency, the forecasting results were 39,698 units.

scholarly journals Metode Peramalan moving Average, 1000 ANALISIS PERBANDINGAN PERAMALAN PERMINTAAN PELUMAS PT XYZ DENGAN METODE MOVING AVERAGE, EXPONENTIAL SMOOTHING DAN NAIVE METHOD

2021 ◽  
Vol 2020 (1) ◽  
pp. 1000-1010
Author(s):  
Destia Anisya Ramdani ◽  
Fahriza Nurul Azizah
Keyword(s):  
Root Mean Square Error ◽  
Mean Square Error ◽  
Root Mean Square ◽  
Moving Average ◽  
Exponential Smoothing ◽  
Mean Absolute Deviation ◽  
Mean Square ◽  
Absolute Deviation ◽  
Naive Method

Pelumas merupakan produk dari PT XYZ yang digunakan untuk kendaraan dan mesin-mesin industri. Peramalan umumnya dilakukan untuk meramalkan jumlah produksi di masa mendatang dengan menggunakan data historis atau data-data pada permintaan sebelumnya terhadap produk perusahaan. Penelitian ini dilakukan untuk menguji enam metode peramalan agar dapat mengetahui metode mana yang tepat untuk diterapkan pada PT XYZ. Peramalan pada PT XYZ ini menggunakan data historis permintaan tahun 2019 dari bulan januari hingga bulan desember yang telah merepresentasikan pola permintaan setiap tahun di PT XYZ. Data ini digunakan untuk meramalkan setahun kedepan.Penelitian kali ini akan membandingkan enam metode peramalan diantaranya metode moving average 3 bulanan, moving average 5 bulanan, exponential smoothing dengan α=0,1, exponential smoothing dengan α=0,5, exponential smoothing dengan α=0,9 dan naive method. Untuk bahan perbandingan dari keenam metode yang telah disebutkan maka diberikan peramalan yaitu dengan metode penyimpangan Mean Absolute Deviation (MAD), Mean Square Error (MSE), Root Mean Square Error (RMSE), dan Absolute Presentage Error (MAPE).Hasil penelitian ini menunjukkan metode peramalan exponential smoothing dengan α=0,9 dengan nilai penyimpangan MAD 2.364,50, MSE 12.448.875,06, RMSE 3.528,30 dan MAPE 0,60 dapat dikatakan metode yang lebih optimal untuk diterapkan di PT XYZ karena memiliki nilai penyimpangan paling rendah dari metode moving average 3 bulanan, moving average 5 bulanan, exponential smoothing dengan α=0,1, exponential smoothing dengan α=0,5 dan naive method.Sehingga PT XYZ untuk menentukan tingkat permintaan konsumen dapat menggunakan metode exponential smoothing dengan α=0,9, karena setelah dilakukan perbandingan dari hasil penyimpangan setiap metode dan telah terbukti bahwasannya metode exponential smoothing dengan α=0,9 memiliki nilai penyimpangan MAD 2.364,60, MSE 12.448.875,06, RMSE 3.528,30 dan MAPE 0,60 yang artinya merupakan nilai penyimpangan terkecil dari metode moving average 3 bulanan, moving average 5 bulanan, exponential smoothing dengan α=0,1, exponential smoothing dengan α=0,5, dan naive method.

Optimal Production Inventory Policies for Operations: A Case Study of PVC Pipes Production

2013 ◽  
Vol 824 ◽  
pp. 536-543
Author(s):  
Harold C. Godwin ◽  
Uchendu O. Onwurah
Keyword(s):  
Time Series ◽  
Linear Regression ◽  
Multiple Linear Regression ◽  
Manufacturing Sector ◽  
Moving Average ◽  
Mean Absolute Deviation ◽  
Absolute Deviation ◽  
Independent Variables ◽  
Production Inventory ◽  
F Distribution

This study focuses on solving the problem of overstocking and under stocking of production inventory in manufacturing sector. To ensure effective management of inventory in manufacturing sector, three years production data were gathered and properly analyzed using multiple linear regression analysis and time series forecasting methods. A multiple linear regression model was developed in MINITAB software to make prediction for inventory requirements. From the result, the coefficient of determination (R2) is 1.00, the adjusted R2 is 1.00, F-distribution is 4.212 x 107 which is greater than any value in F-distribution table, and all these show a very strong relationship between the dependent variable and the independent variables. Also, a Time series analysis was done to make forecast of monthly inventory requirements for both raw materials and finished products. Trend analysis and Moving Average method were used in Time series forecasting, and lower Mean Absolute Percent Error (MAPE) and Mean Absolute Deviation (MAD) were used as criteria for selecting the method that gives the best forecast. From the results obtained, Trend analysis gave MAPE 13% and MAD 2350, while Moving Average gave MAPE 14% and MAD 2574. This work adds to growing body of literatures on data driven inventory management by utilizing historical data in customized software for generation of models that can effectively make forecast of inventory requirements in manufacturing sector. Nomenclature: a = Value of yt at t = 0; b = Trend Value; MA= Moving Average; MAD = Mean Absolute Deviation MAPE =Mean Absolute Percentage Error; N = Number of periods; t = Period Yt = Forecast for period t y = Monthly Quantity of Product Produced α=regression constant β1-βk=Coefficients of the independent variables

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