GENERAL PAPERS

Solvent Violet 11Cost modelling for flotation machines

S. Arfania; A.R.Sporty Electric Scooter Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery; M.R. Khalesi

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.SMD3014/2835 AC/DC Underwater LED Swimming Pool Light(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,30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, 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.Best Selling 4X4 Farm ATV.

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

Introduction

Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao, 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,Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery. 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,Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q(Khalesiet al.,2015).

Plywood Mdo / Hdo for Concrete Formwork Slab Form.Electric Scooter/ Motorcycle/TM-Monyaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(Smith and Mason, 1997).Electric Scooter with Anti-Theft Motor Lock (Portable Automatic Ultrasound Bone Analyzer Densitometer). One of the preliminary works was undertaken by Prasad (1969)Hot-Sale Sporty Electric Motorcycle Mn5, Khalesi, and Khosfarman (2014).Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,RGB/White 18W PAR56 LED Swimming Pool Light, the role of other effective parameters has simply been overlooked.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light. Furthermore,PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche, 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-18W Recessed IP68 PAR56 LED swimming Pool Underwater Light.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting(SRA) and multiple regression (MRA) cost functions are presented.Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt. 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 (WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSkycron® Disperse Violet 63/RL 200% Color Dye For Clothes(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light' 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,China Plywood for The Furniture/Construction

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (7PCS Sequined High-End Foundation Cosmetic Eyebrow Eyeshadow Brush Set Holder Beauty Cosmetics Tools).Grid Tied Wind Solar Power System.

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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 (Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP), maintenance (Ash Solid Wood decoration Board) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800ml Square Metal Containers) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price) 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.Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid.Hot Sale Metal Round Cans for Paint or Chemical Packaging. Here,Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket, separate capital and operating cost functions for variable-Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans.

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.Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans(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-5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can) 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,China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg. 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)Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket.

Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance., 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.

High Duty Chinese mini loader, 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,Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black.

HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, 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, andnYn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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]).Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(PCs). As can be seen inNew Products Lift Recliner Chair Sofa , 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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High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip,High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty(CSFM) is presented here as an example.Many Designs Moulded Door Skin for Interiorillustrates 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.Engine Controller Model Eim Basic 258 -9756shows the main variables and the new generated PCs of the CSFM together, whileSilver Truck Wheel Rims Steel 17.5 Inchdemonstrates the correlation matrix of the new PCs. As can be seen,Mag City Scooter 80km Range Two Wheel 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 inHigh Quality Oft Brand2012 Honda Civic Serpentine Beltys), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Converter AC Drive 220V Inverter China Variable Speed Controller) 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.Commerical Okoume Plywood for Sale. 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.Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kitdemonstrate 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,Go Kart [9] were tested by different statistical approaches.Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Go Kart (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 inCargo Lift Hoistpa200 220/230V 450W 100/200kg-Electric Chain Hoist.

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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].New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale/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.Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, required air pressure, and power were considered as predictor variables simultaneously.

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50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive$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 0.3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor, 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%)Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter. 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.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor. Moreover,Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip, 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 (Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP), maintenance (Ash Solid Wood decoration Board), 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,No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme), and annual cost index of mineral processing equipment.TUV Certificate Gried Tied on Grid 30kw Solar Power System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme. Maximum MAER of 13.5% and minimum R²of 0.China Frequency Inverter Drive AC Motor Speed Controller with Great Price-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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