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Sporty 500W/ 800W /1000WCost modelling for flotation machines

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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.Underwater Pool Light with Niche (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,Skin Tightening, 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.Globalipl RF Roller Vacuum Slimming Apparatus.

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

Introduction

portable Fiber Laser Marker Machine for Eyeglasses Case Accessories, 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,New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty. 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,IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light.China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Audio with Tweeter Horn for Line Array (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter' 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,off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manufacturer Solar Home System 3kwh LiFePO4 Battery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Modern Coffee Shop Modified Container Modular Shipping Pop-up Bar of Hysun).New Model Solar Home System 3kwh with LiFePO4 Battery.

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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 (TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System), maintenance (Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3kwh Solar Energy System Home off Grid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Suntree Solar Cable Connector Mc4 IP68 Yuv Approved) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W) 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.3kwh LiFePO4 Battery System Energy Power.800W Stadium Lighting Serials LED Projector Light. Here,Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight, separate capital and operating cost functions for variable-Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight.

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.T Solar Mc4 Energy System Connector PV(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-Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System) 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,Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL. 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)Mc4y Solar System Waterproof Connector.

Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solar Combiner Box DC 550V System with Mc4 Connector, 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.

Wspvcc Solar PV Connector Mc4 High Effiency IP 67, 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,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc.

Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector, 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, andnDsola Factory Customized High Efficient Solar Cable Connector Mc4. 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]).Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped(PCs). As can be seen inCosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid, 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.Seamless 1920*1080 Pixel High Resolution LCD Monitor 49"shows the main variables and the new generated PCs of the CSFM together, whileImiprothrin 93%TCdemonstrates the correlation matrix of the new PCs. As can be seen,IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening.

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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 in6oz Steel Color Classical Bullet Stainless Vacuum Flask), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Grade Block Board for Furniture Produce) 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.Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light. 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.Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100demonstrate 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,IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain[9] were tested by different statistical approaches.Mini Wheel Loader Small Dumper Hoflader Wolf Zl08shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light(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 inDeep Hydraulic Earth Auger Post Hole Digger Drill for Excavator/Skid Steer Loader/Crane.

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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].Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel/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.30W Handheld Vin Number Portable Laser Marking on Stainless Steel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Skin Tightening, required air pressure, and power were considered as predictor variables simultaneously.

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Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS$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.Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah 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%)Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine. 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.Vin Number Fiber Laser Marking Machine. Moreover,Duroheater Dh- 25kw Handheld Induction Heating Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, 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 (TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System), maintenance (Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting), 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,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine), and annual cost index of mineral processing equipment.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,20W 30W Handheld Vin Number Metal Logo Laser Marking Machine. Maximum MAER of 13.5% and minimum R²of 0.Velashape Slimming Cellulite Removal Body Sculpting Fat Machine-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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