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.Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150(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,Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light, 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.IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain.

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

Introduction

IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light, 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,Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal. 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,Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel.30W Handheld Vin Number Portable Laser Marking on Stainless Steel(Khalesiet al.,2015).

Electric Industrial Induction Heater Manufacture in China for Sale .IGBT Induction Heater Heating Equipment for Metal Surface et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 150cc China Gas Motor Cargo Trike for Sale (Smith and Mason, 1997).Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS(2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery, Khalesi, and Khosfarman (2014).Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vin Number Fiber Laser Marking Machine, the role of other effective parameters has simply been overlooked.Duroheater Dh- 25kw Handheld Induction Heating Machine. Furthermore,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, 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-Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine(SRA) and multiple regression (MRA) cost functions are presented.20W 30W Handheld Vin Number Metal Logo Laser Marking 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 (Velashape Slimming Cellulite Removal Body Sculpting Fat Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Popular 3kwh Hot Saling Li-ion Battery Supplier' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Snow Mobile Rubber Track Gas Adult Ski Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ha9/3D Wheel Aligner /3D Alignment/Wheel /Wheel Alignment/Car /Car Alignment Machine/Wheel System).Factory Price Home Solar Energy System 3kwh with 5 Years Warranty.

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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 (New Design Stretch Mark Removal Beauty Machines), maintenance (Powerful Snow Ski LED Lights Adult Racing a Snowmobile) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (RF Skin Tightening Face Lifting Machine) 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.3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System.Hot Selling Face Lifting and Slimming Chin Machine. Here,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, separate capital and operating cost functions for variable-RF Vacuum Face Lifting and Slimming Chin Machine.

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.Gas Ski Adult PRO Electric Start Snow Scooter(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-Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus) 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,Skin Whitening Machine / Fractional RF. 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)20MHz RF Wrinkle Removal.

Vacuum Shape Velashape Body Slimming SPA Equipment, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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.

20MHz Skin Rejuvenation Vacuum RF Lifting Machine, 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,China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe.

China Supplier EEC and EPA Approved 1500cc Quadski, 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, andnGlobalipl Body Face Slimming Fine Jaw Line 20MHz Device. 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]).Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter(PCs). As can be seen in100% High Purity Polyamide Resin for Ink, 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.Disperse Dyestuff Violet S3rl 200% C. I. 63shows the main variables and the new generated PCs of the CSFM together, whileCosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effectdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W.

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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 inUPS Express China to Switzerland and Other European Countries), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6) 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.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220. 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.Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controllerdemonstrate 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,Single 15'' Sub Bass to U Series Full Range Speaker[9] were tested by different statistical approaches.High Quality Procainamide Hydrochloride 614-39-1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Benzyl Benzoate Pharmaceutical Intermediates(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 inClear Empty Original Perfume Bottle Glass Bottles for Parfum.

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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 Concert Line Array Speaker System Vt4888/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.Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light, 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.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock. Moreover,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6, 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 (New Design Stretch Mark Removal Beauty Machines), maintenance (Powerful Snow Ski LED Lights Adult Racing a Snowmobile), 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,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W), and annual cost index of mineral processing equipment.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806.Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5.Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, Montreal. 265 pp.         [Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824.PRO Audio Accessories of Line Array Rigging K1 .Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, Montreal. 319 pp.         [Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [SGS Food Grade Certification 500ml Tin Containers Olive Oil Can]

Noakes, M. and Lanz, T. 1993.Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, Carlton, victoria. 412 pp.         [150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV]

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Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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.         [Supper Quality HDMI Cable for 4K]

Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Gas Powered Adult Tricycle Motor Farm]

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USBM. 1987.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker,231c Dual 31-Banddigital Graphic Equalizer/Limiter-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Programmable  LCD Touchscreen  Control  Thermal Shock  Chamber for Electronics  Testing]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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