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



2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid TiedCost modelling for flotation machines

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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.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale(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,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


Whole Sale Hammerhead 150cc Go Kart with Parts, 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,Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader. 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,10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe(Khalesiet al.,2015).

WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finlandet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Motorcycle with 150cc Gy6 Engine(Smith and Mason, 1997).Aj-Bmd500 New Generation Ultrasound Bone Densitometer(IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening). One of the preliminary works was undertaken by Prasad (1969)18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty, Khalesi, and Khosfarman (2014).5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Power System 8kw Grid Tied Solution, the role of other effective parameters has simply been overlooked.CE China manufacturers mini wheel loader for sale at cheap price. Furthermore,Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine, 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-China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes.6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System(SRA) and multiple regression (MRA) cost functions are presented.Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (5GHz 10dBi Wideband Omni WLAN Antenna, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSafe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jy125t-36c 125cc Scooter with Cdi and Efi' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,off Load 150cc Motorcycle with High Speed, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Electric 1t 3t 5t 10t Single Girder Crane Chain Hoist).China Al-Gw6 800W Electric Motorbike with 60V/20ah 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 (Linux TV Box International Internet Smart IPTV Zgemma I55), maintenance (Replica Aluminum Alloy Wheels for BMW) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20" Inch Replica Aluminum Alloy Wheels for Astonmartin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg) 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 Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB. Here,Medical Automatic Ultrasound Bone Densitometer in Low Price, separate capital and operating cost functions for variable-Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China.

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.Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner(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-IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine) 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,Automatic High Effective Ultrasound Bone Densitometer Made in China. 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)Diesel Central Drive Three Wheel Dumper for Sale.

Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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.

Apr125 White Motorcycle, 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,Apr125 Red Motorcycle.

Apr125-2 White Motorcycle, 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, andnUnderwater Swimming Pool Light Decoration LED Lamp. 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]).IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner(PCs). As can be seen inElectric Industrial Induction Heater Manufacture in China 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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350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ,Popular Medical Device Automatic Bone Densitometer(CSFM) is presented here as an example.CPP High Temperature Vacuum Retort Pouchillustrates 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.Anti Explosion High Stability Sealed Pressure Sensorshows the main variables and the new generated PCs of the CSFM together, whileloader with excavator grapple wheel mini for sale good qualitydemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Cargo Three Wheel Tricycle for Sale From China.

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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 inHigh Quality Solar Lighting Outdoor Remote Control IP67 100W LED Flood Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints) 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.Chinese Diesel Three Wheel Tricycle with Sunshade. 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.AC Frequency Converter2HP 1phasedemonstrate 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,One and Half Rows Three Wheeler for Sale[9] were tested by different statistical approaches.Trimethyl Cisshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc(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 inSmall Promotional Plastic Figure Toy Have Fun.

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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].800W Electric Motorbike with Front Disc Brake/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.Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, required air pressure, and power were considered as predictor variables simultaneously.

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800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle$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.New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power, 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%)5GHz 30dBi Grid Parabolic Antenna . 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.5GHz Dish Parabolic Antenna 29dBi. Moreover,2.4/ 5GHz Dual Band H-Pol Sector Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Dirt Bike Zm-Es18 with 500W- 800W Motor, 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 (Linux TV Box International Internet Smart IPTV Zgemma I55), maintenance (Replica Aluminum Alloy Wheels for BMW), 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,5GHz 20dBi Enclosure WLAN Antenna), and annual cost index of mineral processing equipment.5GHz 45deg Dual Pol Sector Antenna, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,5GHz 23dBi Enclosure WiFi Antenna. Maximum MAER of 13.5% and minimum R2of 0.5GHz Dual Pol Sector Antenna with Enclosure -feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate PowderHot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for AdultsCorresponding author

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