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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.Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine(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,Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine, 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 0.20W 30W Handheld Vin Number Metal Logo Laser Marking Machine.

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

Introduction

Velashape Slimming Cellulite Removal Body Sculpting Fat Machine, 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,Popular 3kwh Hot Saling Li-ion Battery Supplier. 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,CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine.EEC EPA Extreme Adult RC Snowmobile(Khalesiet al.,2015).

Skin Renew Thermal RF & Fractional 2 in 1 Machine.Home Use RF Velashape Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate(Smith and Mason, 1997).4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh(Solvent Violet 10b 9). One of the preliminary works was undertaken by Prasad (1969)Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter, Khalesi, and Khosfarman (2014).Snow Mobile Rubber Track Gas Adult Ski Scooter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, the role of other effective parameters has simply been overlooked.New Design Stretch Mark Removal Beauty Machines. Furthermore,Powerful Snow Ski LED Lights Adult Racing a Snowmobile, 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-Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery.Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House(SRA) and multiple regression (MRA) cost functions are presented.RF Skin Tightening Face Lifting Machine. 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 (3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 99% CAS 16595-80-5 Levamisole Hydrochloride(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Selling Face Lifting and Slimming Chin Machine' 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,Skin Whitening Machine / Fractional RF

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,20MHz RF Wrinkle Removal, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Vacuum Shape Velashape Body Slimming SPA Equipment(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Vandal Proof IR Speed Dome Infrared Thermal CCTV Camera).Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.

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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 (20MHz Skin Rejuvenation Vacuum RF Lifting Machine), maintenance (China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Supplier EEC and EPA Approved 1500cc Quadski.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Globalipl Body Face Slimming Fine Jaw Line 20MHz Device) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter) 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.4seats 1500cc Kart.Fangpower 400cc 4seat Side by Dune Buggy UTV. Here,China Hot Selling 1500cc Amphibious Watercraft, separate capital and operating cost functions for variable-Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W.

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.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(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-Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220) 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,Single 15'' Sub Bass to U Series Full Range Speaker. 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)Benzyl Benzoate Pharmaceutical Intermediates.

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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.

Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, 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,High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock.

95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, 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, andnDibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti. 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]).Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(PCs). As can be seen inHo-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, 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.Hot Selling Electric Race Vietnam Motorcycle Tire shows the main variables and the new generated PCs of the CSFM together, while7.5HP Three Phase Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.

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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 inDHD Serious and DTH Hammer), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromElectric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter) 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.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8. 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.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Enginesdemonstrate 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,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826[9] were tested by different statistical approaches.3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificateshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid(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 inOEM Corrugated Shipping Mailer Paper Box Packaging.

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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].OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W/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.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine, required air pressure, and power were considered as predictor variables simultaneously.

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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.Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5. Moreover,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, 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 (20MHz Skin Rejuvenation Vacuum RF Lifting Machine), maintenance (China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe), 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,Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa), and annual cost index of mineral processing equipment.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824, and over- extrapolation could result in misguiding estimates.

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References

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, Montreal. 319 pp.         [Dry diaphragm membrane sanitary pressure transducer]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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