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


Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED FloodlightCost modelling for flotation machines

S. Arfania; A.R.Digital ATSC Receiver Internet TV Set Top Box7.5kw MPPT with High Efficiency Solar Water Pump Controller; 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.Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W(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,High Quality Aluminum Alloy Wheels Rims, 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.Truck Rim Steel Polished 17.5 Inch Wheel.

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


Sunpal 150kw Solar Grid Tied System Low Price, 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,5GHz 19dBi Enclosure WLAN Antenna. 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,16 17 18 Inch Vossen CV5 Alloy Wheel.VFD Air Compressor Asynchronous Variable Frequency Drive(Khalesiet al.,2015).

Tubeless Steel Wheel .Home Application on Grid Tied Solar Power System 3kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dyed Skateboard Veneer(Smith and Mason, 1997).Home Use Cheap Solar Panel System 10kw Grid Tied Kit(15'' Coaxial Speaker ). One of the preliminary works was undertaken by Prasad (1969)2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, Khalesi, and Khosfarman (2014).5GHz Antenna High Gain 32dBi; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5GHz Dual Polarization Enclosure WLAN Antenna, the role of other effective parameters has simply been overlooked.32dBi 5GHz WLAN Antenna. Furthermore,Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights(SRA) and multiple regression (MRA) cost functions are presented.2.5A 0.4kw IP20 Jarol Variable Frequency Drive. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Underwater Swimming Pool Light Decoration LED Lamp' 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,Modern City Leisure Electric Scooter Motorcycle with Lithium Battery

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,White Truck Wheel 17.5X6.00 Steel Rims, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),7.5kw MPPT with High Efficiency Solar Water Pump Controller(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (5mm Color Glass Patterned Glass/Patterned).Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood.

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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 (AC Variable Frequency Drive Single Phase), maintenance (17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Triple Phase Variable Frequency Inverter AC Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (White Steel Wheel for Truck 17.5X6.00) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Carb Grade 18mm Commercial Plywood) 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.Highlighted LED Electric Motorcycle with 60V 800W Power System.AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V. Here,High Speed Full Size Adult 800W Z1000 Electric Motorcycle, separate capital and operating cost functions for variable-AC Drives Frequency Inverter for Dyeing Machine.

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.1220*2440*18mm Birch Plywood with Carb P2 Standard Quality(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-Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China) 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 Wholesales Wheel Loader HR912 with Pallet Forks. 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 Frequency Speed Controller 7.5kw VFD Drives.

Carb P2 Bleached White Poplar Plywood for Furniture, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Mini Wheel Loader for Sale with Low Price, 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.

New Model Chinese Small Loader Front End Wheel for Sale, 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,Mimo Antenna 13dBi CPE.

1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture, 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, andn5GHz 25dBi Dual Pol Enclosure Antenna. 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]).Bleached Poplar/Birch Carb Plywood(PCs). As can be seen inMini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, 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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Newest Kids Pedal Electric Drift Crazy Kart Go,Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader(CSFM) is presented here as an example.China 150cc Gy6 Gasoline Scooterillustrates 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kwshows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle Dlla155p273demonstrates the correlation matrix of the new PCs. As can be seen,IN-A7 handheld color doppler linear probe hip bone ultrasound scanner.

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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 inNew Technology Samll Watt Solar Energy Moon Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromQ1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio) 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 0.7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment. 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.Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25demonstrate 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin[9] were tested by different statistical approaches.High Temperature Vacuum Retort Pouch for Food Packagingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Whole Sale Hammerhead 150cc Go Kart with Parts(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 inFactory Price Good Scent Natural Perfume.

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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].10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner/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.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Aluminum Alloy Wheels Rims, required air pressure, and power were considered as predictor variables simultaneously.

WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound. Moreover, the operating cost was detailed in different cost items.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, indicated inPA Column Speaker Empty Alu. Cabinet 4.5" , and major extrapolation should be avoided.

Aj-Bmd500 New Generation Ultrasound Bone Densitometer$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 0.18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty, 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%)5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home. 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.Solar Power System 8kw Grid Tied Solution. Moreover,CE China manufacturers mini wheel loader for sale at cheap price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine, 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 (AC Variable Frequency Drive Single Phase), maintenance (17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim), 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,China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes), and annual cost index of mineral processing equipment.6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer . Maximum MAER of 13.5% and minimum R2of 0.5GHz 10dBi Wideband Omni WLAN Antenna-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Trimethyl CisNitrogen Chemical Fertilizer Ammonium Sulfate 21%MinCorresponding author

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