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Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Chrome Quadrant Shower Enclosure with Plastic Double Roller(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Frame Quadrant Glass Curved Shower Cubicle for Sale Price, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Quadrant Framed Shower Enclosure/ Cabin / Cubicle , sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Imiprothrin 93%TC. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide.Deltamethrin 2.5% Wp of Insecticide Pesticide(Khalesiet al.,2015).

Insecticide Deltamethrin 2.5% Ec.PVC 16-32mm Four Pipes Extrusion Lineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional 10 " Aluminum Speaker Basket(Smith and Mason, 1997).High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine(800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments). One of the preliminary works was undertaken by Prasad (1969)Komatsu Boom Cyl Ket for PC300-5, Khalesi, and Khosfarman (2014).PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Komatsu Boom Cyl Ket for PC400-6, the role of other effective parameters has simply been overlooked.Komatsu Bucket Cyl Ket for PC300-5. Furthermore,Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi.Factory Direct Sale Polyamide PA Resin for Ink and Adhesives(SRA) and multiple regression (MRA) cost functions are presented.Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (China Factory Supply Good Quality Polyamide Resin PA, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBloom Tech Chemical Material Topiramate CAS 97240- 79 -4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Nylon Plated Classical Guitar Accessory Strings

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Senior Electric Guitar , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (55-Inch 3G 32GB Memory 4K Ultra-HD Ultra-Thin Smart LCD TV).High Quality Classical Guitar Nylon Strings.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (4 Stringed Wrapped Electric Bass Guitar Strings), maintenance (Lp Electric Guitar on-on-on Control Switch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Digital Tuner ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Metronome and Tuner) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Creative Caline Cp-09 Tuner Power Pedal Guitar.Digital Tuner for Guitar . Here,Newest Hot Sell Guitar Machine Head Tuner, separate capital and operating cost functions for variable-10W 4" Inchs LED Dimmable Downlight for Room.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Super Power LED Lighting 100W Flicker Free Ceiling Lamp(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Bluetooth Speaker WiFi RGB+WY LED Ceiling Lamp) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,60W LED High Power Bluetooth Speaker Ceiling Light. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light.

24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Most Popular Cheapest Price Guitar Capo for Acoustic Guitar, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Guitar / Bass Tuner , R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stick.

11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnWLAN/WiFi 2X2 Mimo Airx Engine. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding(PCs). As can be seen inPower Mini Electric Scooter for Lady 60V800W, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Ruijie Rg-Ap220-E ,2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1(CSFM) is presented here as an example.Professional Loudspeaker Column Speaker Line Array with L7illustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.High Quality Electric Motorbike with 800W Motorshows the main variables and the new generated PCs of the CSFM together, while350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Modeldemonstrates the correlation matrix of the new PCs. As can be seen,5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inLandscape House Decoration Lights Laser Garden Light RGB Twinkling Firefly), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Printed Food Grade Ziplock Packing Bag) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Good Quality CAS: 97240- 79 -4 Topiramate Powder Pricedemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner[9] were tested by different statistical approaches.K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New X96 Mini Android Set Top Box 4K S905W 1GB(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inPretty Cake Decoration with Plastic Holder.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Stylish Yellow Two-Seater Children's Sofa; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frame Quadrant Glass Curved Shower Cubicle for Sale Price, required air pressure, and power were considered as predictor variables simultaneously.

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Velvet Office Sofa Chair Modern 0302$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna. Moreover,Modern Green Velvet Lounge New Style Chester Sofa, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Set Top Box Android 9.0 X96 Mini TV S905W, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (4 Stringed Wrapped Electric Bass Guitar Strings), maintenance (Lp Electric Guitar on-on-on Control Switch), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,2021 Android TV Box H96 WiFi Set Internet), and annual cost index of mineral processing equipment.Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Media Player Android 6.0 2g+16g Internet Smart TV Box. Maximum MAER of 13.5% and minimum R²of 0.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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