GENERAL PAPERS

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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.New Design Stretch Mark Removal Beauty Machines(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,Powerful Snow Ski LED Lights Adult Racing a Snowmobile, 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.Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery.

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

Introduction

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110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car.RF Vacuum Face Lifting and Slimming Chin Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 18" Subwoofer Speaker Box(Smith and Mason, 1997).Gas Ski Adult PRO Electric Start Snow Scooter(10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer). One of the preliminary works was undertaken by Prasad (1969)Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, Khalesi, and Khosfarman (2014).Skin Whitening Machine / Fractional RF; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20MHz RF Wrinkle Removal, the role of other effective parameters has simply been overlooked.Vacuum Shape Velashape Body Slimming SPA Equipment. Furthermore,Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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-20MHz Skin Rejuvenation Vacuum RF Lifting Machine.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe(SRA) and multiple regression (MRA) cost functions are presented.China Supplier EEC and EPA Approved 1500cc Quadski. 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 (Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter' 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,Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 15'' Sub Bass to U Series Full Range Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6PCS/Set FDA Reusable Cover Silicone Food Storage Lid).Benzyl Benzoate Pharmaceutical Intermediates.

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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 (Single 15'' Passive/Active Subwoofer with High Quality Plywood), maintenance (Professional Concert Line Array Speaker System Vt4888) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902) 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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. Here,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620, separate capital and operating cost functions for variable-Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.

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.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality(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-Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6) 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,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W. 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)Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8.

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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.

Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, 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,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.

Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801, 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, andnColumn Speaker of Empty Alu. Cabinet . 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]).Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components(PCs). As can be seen inNew Design Go Kart 150cc , 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.Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lightingshows the main variables and the new generated PCs of the CSFM together, whileConverters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in Chinademonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5.

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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 inMirror LED Advertising Signage Full Color Poster Display P1.8/P2.5/P3), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFree Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container 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.Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5. 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.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205demonstrate 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,Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa[9] were tested by different statistical approaches.Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824(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 inWholesales 24K Gold 1.4/2.0V HDMI Cable Highspeed for 3D/ 4K /HDTV/PS31080P/2160p.

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Cost model for variable-PRO Audio Accessories of Line Array Rigging K1

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].Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827/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.Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Powerful Snow Ski LED Lights Adult Racing a Snowmobile, required air pressure, and power were considered as predictor variables simultaneously.

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190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824$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.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker, 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%)Birch Plywood 2-Way Crossover Passive Loudspeaker . 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.Srx715 High Quality Neodymium PRO Audio. Moreover,Kf760 Line Array System for Outdoor Concert, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker, 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 (Single 15'' Passive/Active Subwoofer with High Quality Plywood), maintenance (Professional Concert Line Array Speaker System Vt4888), 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,231c Dual 31-Banddigital Graphic Equalizer/Limiter), and annual cost index of mineral processing equipment.China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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