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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.Intelligent Power Saver for Industry Use(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,CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm, 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.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary.

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

Introduction

RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, 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,Made in China Strong Compact Mini Front Loader . 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,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals.Manufacture 20W Fiber Laser Marking Machine for Engraving(Khalesiet al.,2015).

3kw Air-Cooled UHF Digital TV Transmitter DTV.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reportset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Quality CAS: 97240- 79 -4 Topiramate Powder Price(Smith and Mason, 1997).Wholesale High Performance Metal Mc4 Connector(Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery). One of the preliminary works was undertaken by Prasad (1969)No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip, Khalesi, and Khosfarman (2014).1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, the role of other effective parameters has simply been overlooked.IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector. Furthermore,Portable Fiber Laser Marking Machine for Vin Code/Number, 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-1L Empty Round Edilbe Cooking Oil Metal Tin.2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K(SRA) and multiple regression (MRA) cost functions are presented.Max Source Fiber Machine Laser Marking for Vin Number. 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 (1L Custom Round Small Metal Empty Tin Cans with Lids, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty' 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,Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Printed Round Metal Paint Tin Can with Lid, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6m Length 100*38 100*40 100*42 Ms Mild Sktm18c Alloy Square Sev295 Steel Rectangular Pipe).38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad.

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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 (Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid), maintenance (High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Erbium-Doped Fiber Amplifier Optical Power Adjustable ) 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.Dirt Bike for 199 Cc Displacement.Sab-500 Ophthalmic a/B Scanner. Here,[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, separate capital and operating cost functions for variable-200cc Reverse Wholesale Motor Light Three Wheel Motorcycle .

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.Industrial Energy Saving Device Made in China(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-150cc Enclosed Gasoline Motorized Cargo Trike with Box ) 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,Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner. 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)Power Saver Box Energy.

Power Saver Energy Saving Device, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Power Saver for Industrial , 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.

Industry Saveing 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,Industry Saveing Box .

Motorcyle with Bore * Stroke 66*58.2 mm, 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, andnElectricity Saving Device 600amp . 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]).250cc Motor Cabin Tricycle Cargo with Canopy(PCs). As can be seen inHigh Stable Universal Pressure Transmitter, 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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Flexible Label Laser Marking Machine,Flying Laser Marking System Marker(CSFM) is presented here as an example.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farmillustrates 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.Gy6 Engine Gas Scootershows the main variables and the new generated PCs of the CSFM together, whileMoped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 demonstrates the correlation matrix of the new PCs. As can be seen,800W Color Fashion Electric Motorcycle.

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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 inAction Figure Miniature Toy Plastic Collectible Figurine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSectional Stanford Sofa) 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.Label Marking Equipment Laser Machine for Car Body Labels. 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.Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Boxdemonstrate 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,Electric Bike 800W ODM Mountain Ebike with Powerful Motor[9] were tested by different statistical approaches.2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Latest Electric Scooter 800W Citycoco(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 inRemote CCTV Camera Pipe Inspection Crawler Suitable for DN150-300.

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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].150cc Cheap Open Gas Reverse Trike /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.Sport Using Motor Vehicle with Sealed Chain Final Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm, 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.3ru 24 in 1 CATV Fixed Channel Modulator . Moreover,16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Satellite Ts Encryption HD Receiver with Multiplexing Function, 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 (Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid), maintenance (High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty), 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,Motor Tricycle Three Wheel Cargo Trike for Sale), and annual cost index of mineral processing equipment.Motorbicycle for Well Done Accessories, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,16 in 1 CATV Modulator Fixed Frequency. Maximum MAER of 13.5% and minimum R²of 0.8 Channels HDMI to DVB-T Modulator-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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