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.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming 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,20W 30W Handheld Vin Number Metal Logo Laser Marking 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.Velashape Slimming Cellulite Removal Body Sculpting Fat Machine.

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

Introduction

Popular 3kwh Hot Saling Li-ion Battery Supplier, 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,CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine. 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,EEC EPA Extreme Adult RC Snowmobile.Skin Renew Thermal RF & Fractional 2 in 1 Machine(Khalesiet al.,2015).

Home Use RF Velashape Machine.4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwhet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725 G Ce Approved Hot Sale Mini Wheel Loader(Smith and Mason, 1997).Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter(20MHz Probe Ophthalmology Ultrasound MD-2300S). One of the preliminary works was undertaken by Prasad (1969)Snow Mobile Rubber Track Gas Adult Ski Scooter, Khalesi, and Khosfarman (2014).Factory Price Home Solar Energy System 3kwh with 5 Years Warranty; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Design Stretch Mark Removal Beauty Machines, the role of other effective parameters has simply been overlooked.Powerful Snow Ski LED Lights Adult Racing a Snowmobile. Furthermore,Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery, 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-Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House.RF Skin Tightening Face Lifting Machine(SRA) and multiple regression (MRA) cost functions are presented.3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System. 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 (Hot Selling Face Lifting and Slimming Chin Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3kwh Rechargeable Battery Solar Energy Power System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car' 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,20MHz RF Wrinkle Removal

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Vacuum Shape Velashape Body Slimming SPA Equipment, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Gantry Type Single Crank Power Press).20MHz Skin Rejuvenation Vacuum RF Lifting Machine.

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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 Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe), maintenance (China Supplier EEC and EPA Approved 1500cc Quadski) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Globalipl Body Face Slimming Fine Jaw Line 20MHz Device.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4seats 1500cc Kart) 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.Fangpower 400cc 4seat Side by Dune Buggy UTV.China Hot Selling 1500cc Amphibious Watercraft. Here,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, separate capital and operating cost functions for variable-Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array.

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.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220(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-Single 15'' Sub Bass to U Series Full Range Speaker) 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,Benzyl Benzoate Pharmaceutical Intermediates. 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)Single 15'' Passive/Active Subwoofer with High Quality Plywood.

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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.

High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock, 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,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902.

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whereC_eis the estimated cost,C_athe actual cost, andnUlipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. 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]).Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620(PCs). As can be seen inFrequency Converter, 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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Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6(CSFM) is presented here as an example.High Quality Procainamide Hydrochloride 614-39-1illustrates 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.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofershows the main variables and the new generated PCs of the CSFM together, while3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Callsdemonstrates the correlation matrix of the new PCs. As can be seen,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W.

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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 inColors Glass Lid), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAlloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.) 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 0.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826. 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 Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lightingdemonstrate 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,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid[9] were tested by different statistical approaches.Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse(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 inHigh Quality Carbon Steel Black Slotted Nut Castle Cap Castellated Flower.

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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].Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801/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.Column Speaker of Empty Alu. Cabinet ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20W 30W Handheld Vin Number Metal Logo Laser Marking 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.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806. Moreover,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, 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 Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe), maintenance (China Supplier EEC and EPA Approved 1500cc Quadski), 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,320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824), and annual cost index of mineral processing equipment.PRO Audio Accessories of Line Array Rigging K1 , and over- extrapolation could result in misguiding estimates.

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References

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio, Montreal. 319 pp.         [Sw-1000p Ophthalmic Pachymeter]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array ]

Noakes, M. and Lanz, T. 1993.Safe Shipping Sarms Powder ACP-105.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price, Carlton, victoria. 412 pp.         [Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules]

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Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Hot Selling High Quality Fashion Nail Polish]

Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply]

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USBM. 1987.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Hexagonal Aluminum Pop up Folding Tent for Car Trade Show]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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