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.Replica Aluminum Alloy Wheels for Skoda(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,Best Price Sab-500 Ophtalmic Ab Scan, 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.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25.

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

Introduction

Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, 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,80kw Grid Tied Solar System for Commercial or Industrial Use. 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,Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type(Khalesiet al.,2015).

Ophthalmic Equipment Biometer Scan a.0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase(Smith and Mason, 1997).860MHz CATV One Way Amplifiers(Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag). One of the preliminary works was undertaken by Prasad (1969)CATV Mini Line Extending 2-Way Amplifer, Khalesi, and Khosfarman (2014).20MHz Probe Ophthalmology Ultrasound MD-2300S; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,860MHz Two Way Amplifier , the role of other effective parameters has simply been overlooked.Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle. Furthermore,Ophthalmic a Scan Portable Handheld Biometer, 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-Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System(SRA) and multiple regression (MRA) cost functions are presented.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV. 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 (10kw Cheap Solar Panels Complete Grid Tied System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Reliable Supplier Portable Cement Silo Dust Collector(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Everun Er08 CE Wheel Loader with Standard Bucket for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Cpm Zl08 Mini Wheel Loaders with Price List for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Pre- Dispersed Masterbatch Rubber Additives Accelerator M-80 for Tire).Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V.

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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 (Loader), maintenance (18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Samll EPA 0.8ton Tractor Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Closed Motorized China Cargo Tricycle with Box ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Covered Tricycle Carriage Closed Cargo Box) 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.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty.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. Here,Metal Packing Chemical Round Tin Can, separate capital and operating cost functions for variable-1 Liter Cans for Curing Agent.

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.Cone Top 1 Liter Glue Usage Tin Can(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-High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket) 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,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light. 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)PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty.

50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 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.

Tricycle with Wagon 3 Wheel Motorcycle Box, 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 Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips.

Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, 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, andnMotor Auto Hydraulic Open Three Wheel Motorcycle for Sale. 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 PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(PCs). As can be seen inEverun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade, 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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Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty(CSFM) is presented here as an example.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Lineillustrates 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.Best Price Bulk Powder Retinyl Palmitate 79 -81-2shows the main variables and the new generated PCs of the CSFM together, whileNo Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chipdemonstrates the correlation matrix of the new PCs. As can be seen,2021 New E Bike Best Mini Electric for Adults.

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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 inDisposable Best Quality Adult Diapers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMedical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner) 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 0.1liter Empty Paint Tin Can with Lids Factory. 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.Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Windowdemonstrate 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,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports[9] were tested by different statistical approaches.Good Quality Pine Wood Core Block Board with Okume Filmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.60V800W Electric Scooter with Highlight Rear Box(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 inPopular China Professional Manufacturer Best Quality 32AMP 240V Industry Waterproof Electrical Female Socket Industrial Sockets.

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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].2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle/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.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Best Price Sab-500 Ophtalmic Ab Scan, required air pressure, and power were considered as predictor variables simultaneously.

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Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery$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 0.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, 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%)Electricity Power Saver for Industry . 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.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike. Moreover,Malaysia Laser Marking Machines for Jewellery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Enclosed Covered Tricycle with Wagon, 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 (Loader), maintenance (18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light), 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,Color Marking 20W Fiber Laser Machine Price for Metal), and annual cost index of mineral processing equipment.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial. Maximum MAER of 13.5% and minimum R²of 0.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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