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.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25(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,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, 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 0.80kw Grid Tied Solar System for Commercial or Industrial Use.

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

Introduction

Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, 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,Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type. 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,Ophthalmic Equipment Biometer Scan a.0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer(Khalesiet al.,2015).

860MHz CATV One Way Amplifiers.CATV Mini Line Extending 2-Way Ampliferet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Direct Sale Polyamide PA Resin for Ink(Smith and Mason, 1997).20MHz Probe Ophthalmology Ultrasound MD-2300S(China Reliable Supplier Portable Cement Silo Dust Collector). One of the preliminary works was undertaken by Prasad (1969)860MHz Two Way Amplifier , Khalesi, and Khosfarman (2014).Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ophthalmic a Scan Portable Handheld Biometer, the role of other effective parameters has simply been overlooked.Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life. Furthermore,Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power 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-500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV.10kw Cheap Solar Panels Complete Grid Tied System(SRA) and multiple regression (MRA) cost functions are presented.High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle. 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 (Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCertificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System' 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),Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Glitter UV Shining Long-Lasting 10ml 3D Super Diamond Nail Enamel Varnish Manicure Soak off Art Gel Polish).18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light.

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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 (Samll EPA 0.8ton Tractor Loader), maintenance (Closed Motorized China Cargo Tricycle with Box ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Covered Tricycle Carriage Closed Cargo Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel) 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.Metal Packing Chemical Round Tin Can.1 Liter Cans for Curing Agent. Here,Cone Top 1 Liter Glue Usage Tin Can, separate capital and operating cost functions for variable-High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket.

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.Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light(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-PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty) 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,50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover. 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)200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle.

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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.

Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, 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,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale.

Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty, 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, andn20watt Mopa Laser Marking Machine for Anodized Aluminum Black. 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]).Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips(PCs). As can be seen inHigh Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, 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.No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chipshows the main variables and the new generated PCs of the CSFM together, whileIP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountaindemonstrates the correlation matrix of the new PCs. As can be seen,1liter Empty Paint Tin Can with Lids Factory.

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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 inNatural Stone Yellow/Goldden Spider Jade Marble Slab for House Decoration), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect) 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 0.60V800W Electric Scooter with Highlight Rear Box. 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.Good Quality Pine Wood Core Block Board with Okume Filmdemonstrate 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,Empty Canister White Metal Round Packaging Cans Box Tea Tins[9] were tested by different statistical approaches.Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lightingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle(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 inDesigner Perfume.

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Cost model for variable-No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip

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].Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet/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.Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, required air pressure, and power were considered as predictor variables simultaneously.

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Electricity Power Saver for Industry $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.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, 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%)Malaysia Laser Marking Machines for Jewellery. 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.Enclosed Covered Tricycle with Wagon. Moreover,Color Marking 20W Fiber Laser Machine Price for Metal, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, 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 (Samll EPA 0.8ton Tractor Loader), maintenance (Closed Motorized China Cargo Tricycle with Box ), 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,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial), and annual cost index of mineral processing equipment.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Mountain Using Motorcycle with Strong Steel Tube Frame. Maximum MAER of 13.5% and minimum R²of 0.10W 20W 30W portable Fiber Laser Marking Machine-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Crystal Fertilizer Ammonium Sulphate for CoumpoundADSS Body Slimming Beauty Machine Corresponding author