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.All Terrain Vehicle Tyres ATV Wheel(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,1L Plastic Trigger Sprayer Bottle with Spray, 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.Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for.

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

Introduction

20MHz RF Best Technology for Skin Tighten, 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,Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus. 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,20MHz Thermal RF Wrinkle Removal Beauty Machine.Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light(Khalesiet al.,2015).

Color Changing Swimming Pool Lights.Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatuset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip(Smith and Mason, 1997).Underwater Pool Light with Niche (Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use). One of the preliminary works was undertaken by Prasad (1969)Skin Tightening, Khalesi, and Khosfarman (2014).Globalipl RF Roller Vacuum Slimming Apparatus; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,portable Fiber Laser Marker Machine for Eyeglasses Case Accessories, the role of other effective parameters has simply been overlooked.New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty. Furthermore,IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, 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-China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18(SRA) and multiple regression (MRA) cost functions are presented.Motorcycle Spare Part Oil Switch for Gy6 150. 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 (20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inThiosemicarbazide CAS 79 -19-6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18' 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),Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Frozen Japanese Flying Pacific Squid for Sale).Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz.

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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 (Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter), maintenance (OEM Wheels for Kymco Gy6 125cc Scooter Body Parts) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorcycle Parts High Quality Cam ) 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.off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting.High Quality Motorcycle Parts Cam . Here,Manufacturer Solar Home System 3kwh LiFePO4 Battery, separate capital and operating cost functions for variable-New Model Solar Home System 3kwh with LiFePO4 Battery.

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.TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System(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 Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting) 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,3kwh Solar Energy System Home off Grid. 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)Suntree Solar Cable Connector Mc4 IP68 Yuv Approved.

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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.

800W Stadium Lighting Serials LED Projector Light, 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,Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight.

Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight, 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, andnT Solar Mc4 Energy System Connector PV. 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]).Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System(PCs). As can be seen inEverun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, 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.Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Useshows the main variables and the new generated PCs of the CSFM together, while110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Cardemonstrates the correlation matrix of the new PCs. As can be seen,Solar Combiner Box DC 550V System with Mc4 Connector.

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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 inHydraulic Lift Four Two-Story Parking Equipment), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine) 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.Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc. 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.1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Liddemonstrate 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,Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector[9] were tested by different statistical approaches.AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dsola Factory Customized High Efficient Solar Cable Connector Mc4(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 inWholesale OEM Custom Printing Insulated Cooler Bag Waterproof and Reusablable Picnic.

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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].LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light/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.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L Plastic Trigger Sprayer Bottle with Spray, required air pressure, and power were considered as predictor variables simultaneously.

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Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150$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.Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light, 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%)IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain. 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.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light. Moreover,Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel, 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 (Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter), maintenance (OEM Wheels for Kymco Gy6 125cc Scooter Body Parts), 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,30W Handheld Vin Number Portable Laser Marking on Stainless Steel), and annual cost index of mineral processing equipment.Electric Industrial Induction Heater Manufacture in China for Sale , 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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