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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar PlywoodCost modelling for flotation machines

S. Arfania; A.R.Carb E0 Cabinet Grade 18mm Plywood in High QualityHot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor(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,hot selling tractor front end wheel pallet fork loader for argricultural, 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.Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate.

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


Carb Bleach White Poplar Plywood LVL 12mm 18mm, 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,Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light. 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,Wolf Loader Wl80 Zl08 Radlader Mini Wheel.2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(Khalesiet al.,2015).

High Quality Carb Certified Birch Faced Furniture Plywood.UV Birch Plywood with Poplar Core Carb E0 Glue From Factoryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L /1.5L Glass Juice Bottle/Beverage Bottle(Smith and Mason, 1997).17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim(Electric Scooter with Anti-Theft Motor Lock ). One of the preliminary works was undertaken by Prasad (1969)China Wolf Wl80 Articulated Mini Loader, Khalesi, and Khosfarman (2014).Digital ATSC Receiver Internet TV Set Top Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W, the role of other effective parameters has simply been overlooked.High Quality Aluminum Alloy Wheels Rims. Furthermore,Truck Rim Steel Polished 17.5 Inch Wheel, 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-Sunpal 150kw Solar Grid Tied System Low Price.5GHz 19dBi Enclosure WLAN Antenna(SRA) and multiple regression (MRA) cost functions are presented.16 17 18 Inch Vossen CV5 Alloy Wheel. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (VFD Air Compressor Asynchronous Variable Frequency Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in200cc Racing Go Kart for Sale Cheap(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tubeless Steel Wheel ' 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,5GHz Dual Polarization Enclosure WLAN Antenna

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,32dBi 5GHz WLAN Antenna, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Women Fashion Knitted Sweater with Long Sleeve).High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty.

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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 (Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights), maintenance (2.5A 0.4kw IP20 Jarol Variable Frequency Drive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Underwater Swimming Pool Light Decoration LED Lamp) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (17 Inch Machined Aftermarket Alloy 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.2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty.New Electric Beatiful on Road 800W Scooter E-Motorcycle. Here,5GHz 15dBi Dual Polarization Enclosure WiFi Antenna, separate capital and operating cost functions for variable-Modern City Leisure Electric Scooter Motorcycle with Lithium Battery .

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.White Truck Wheel 17.5X6.00 Steel Rims(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-7.5kw MPPT with High Efficiency Solar Water Pump Controller) 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,Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood. 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)AC Variable Frequency Drive Single Phase.

17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Triple Phase Variable Frequency Inverter AC Drive, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

White Steel Wheel for Truck 17.5X6.00, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Carb Grade 18mm Commercial Plywood.

Highlighted LED Electric Motorcycle with 60V 800W Power System, 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).

whereCeis the estimated cost,Cathe actual cost, andnAC 3 Phase 380V Compact Vectorial Inverter Frequency 220V. 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]).High Speed Full Size Adult 800W Z1000 Electric Motorcycle(PCs). As can be seen inFdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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1220*2440*18mm Birch Plywood with Carb P2 Standard Quality,Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China(CSFM) is presented here as an example.7.5kw MPPT with High Efficiency Solar Water Pump Controllerillustrates 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.15'' Coaxial Speaker shows the main variables and the new generated PCs of the CSFM together, whileHot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,China Wholesales Wheel Loader HR912 with Pallet Forks.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inPlastic Buckle Hook & Loop Strap), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCAS: 13553- 79 -2; Rifamycin S) 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.Carb P2 Bleached White Poplar Plywood for Furniture. 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kwdemonstrate 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,Professional Mini Wheel Loader for Sale with Low Price[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle Dlla155p273shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Model Chinese Small Loader Front End Wheel for Sale(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 inHigh Quality SMD3528 120LED 9.6W Ra80 LED Strip DC24 3000K Light.

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Cost model for variable-Mimo Antenna 13dBi CPE

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].1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture/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.


Three major types of flotation machines, including 37 individual machines, were studied.5GHz 25dBi Dual Pol Enclosure Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,hot selling tractor front end wheel pallet fork loader for argricultural, required air pressure, and power were considered as predictor variables simultaneously.

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Newest Kids Pedal Electric Drift Crazy Kart Go$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.Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader, 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%)IN-A7 handheld color doppler linear probe hip bone ultrasound scanner. In the MRA cases, this property is owed to the SFM (3.05%).


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.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale. Moreover,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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 (Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights), maintenance (2.5A 0.4kw IP20 Jarol Variable Frequency Drive), 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,Whole Sale Hammerhead 150cc Go Kart with Parts), and annual cost index of mineral processing equipment.Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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