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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.Professional Line Array Speaker Single 10 Inch Full Range System(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,Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic, 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.Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808.

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

Introduction

96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902, 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,Professional Line Array System Single 10 Inch Neodymium Vr10. 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,Samsung LTI550HN16 1920X1080P monitor LCD video wall.Maunfacturing Price Sealed Food Packaging Vacuum Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Yineng Mini Wheel Front Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5' 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,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Peptide Cosmetics CAS 155149- 79 -4 Capixyl, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Good Quality Wood Carving CNC Router for Doors).100% Copper Wire St-1kw Single Phase Dynamo Factory Price.

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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 (China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9), maintenance (37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,49" 450nits LG panel advertising LCD screen .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (aluminium LCD wall panel surveillance flat display) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3X3 LCD wall panel surveillance digital display screen) 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.AV input LCD wall panel 49inch surveillance monitors.LG panel 49" advertising rack . Here,55inch wall mount LCD panel surveillance LED video, separate capital and operating cost functions for variable-Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn.

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.55 Inch LCD Video Wall Display with Controller(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-10inch Speaker for Music Bar PRO Audio Sound System) 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,10inch Professional Karaoke Speaker for Luxury Room. 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)Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel.

139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer, 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.

Professional Sound System 10'' PRO Neodymium Line Array PA Audio System., 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,10inch Loudspeaker PA Speaker PRO Audio.

10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power, 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, andn10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker. 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]).Single 10 Inch Active Speaker PS10r2 PA System(PCs). As can be seen inTitan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks, 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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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.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finlandshows the main variables and the new generated PCs of the CSFM together, whileAC Fan Frequency Inverter 3pH 7.5kwdemonstrates the correlation matrix of the new PCs. As can be seen,Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window.

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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 in10oz Blank Sublimation Bone China Mug), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic HDPE Pipe Production Line) 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.Food Packaging Bag. 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.Portable in-Ear Invisible Headphones with Charging Casedemonstrate 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,High Quality Coffee /Candy/Weed /Hemp Plastic Container[9] were tested by different statistical approaches.Empty Canister White Metal Round Packaging Cans Box Tea Tinsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Water Proof Child Coffee /Candy/Weed Plastic Container(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 inBreathable Disposable China Happy Baby Diapers Made in.

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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].Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts/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.Donbn Dz- 10 Two Way Full Range Professional KTV Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic, required air pressure, and power were considered as predictor variables simultaneously.

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4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9$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 0.55" HD 1080P Commercial LED Screen Video Wall LCD Display, 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%)A+ grade LCD wall panel surveillance high brightness screen. 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.Seamless 1920*1080 Pixel High Resolution LCD Monitor 49". Moreover,PA 10 -35W 5.25'' Sound Ceiling Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Samsung LTI550HN16 1920X1080P screen monitor LCD video wall, 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 (China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9), maintenance (37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display), 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,46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player), and annual cost index of mineral processing equipment.High Purity Amino Acid L-Arginine Powder, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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