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


China Supplier 1Cost modelling for flotation machines

S. Arfania; A.R.Everun 0.8ton Chinese Articulated Mini Wheel Loader4'' Installation Professional Waterproof Speaker; 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.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(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,500ml Round Resealable Tin Can with Easy Open Screw Top Lid, 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.Compact wheel loader snow pusher landscaping.

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


Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle, 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,Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse. 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,Frequency Drive Converter Solar Pump Inverter.China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle(Khalesiet al.,2015).

60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK.Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Line Array 10 Inchneodymiun PRO Audio Woofer(Smith and Mason, 1997).China Single Phase Variable Frequency Inverter AC 220V(2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration). One of the preliminary works was undertaken by Prasad (1969)Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China, Khalesi, and Khosfarman (2014).Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Drive Frequency Variable General Power Supply Solar Motor Pump, the role of other effective parameters has simply been overlooked.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC. Furthermore,500kw Solar Energy System Grid Tied 500kwatt Panel Station, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC(SRA) and multiple regression (MRA) cost functions are presented.Factory Price 7000W Home Solar Power Generator System Grid Tied. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIron Oxide Yellow for Pet Feeds(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader' 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,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, 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 City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Simple Style 120cm Small Shower Acrylic Drop-in Bathtub with Handles).Haolin Lithium Battery 60V/20ah.

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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 (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle), maintenance (Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Adult Electric Motorcycle with Lithium Battery China) 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.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery.Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle. Here,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults, separate capital and operating cost functions for variable-Solar Inverter Pump Inverters 5.5kw.

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.10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent(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-350ml Brake Fluid Glue Tin Bottle) 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,9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint. 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)Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD.

6000W Inverter Grid Tied Home Solar Energy System Without Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solar Pump Inverter DC/ AC Supplier, 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.

DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw, 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,Frequnce Converter AC Drive 380V 11kw.

Solar Inverter Pump 15kw, 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, andnChina Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost. 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]).TUV Ce Europe Popular 6000W Grid Tied Home Solar System(PCs). As can be seen inFood Grade L-Arginine with Best Price, 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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Yn725g Yineng Mini Front End Loader,China Everun Er408 Small Loader Compact with Pallet Forks(CSFM) is presented here as an example.Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PPillustrates 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.Customized Multi Birch Veneer Plywood Manufacturershows the main variables and the new generated PCs of the CSFM together, while5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gaindemonstrates the correlation matrix of the new PCs. As can be seen,Yn725g 18.5 Kw/2.

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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 in2014 New Antique Copper Rhinestone Inner Eye Shape Brooch), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGAS Wind Pressure Transmitter with Data Display) 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.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. 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.60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Displaydemonstrate 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,Yn725g Yineng Mini Wheel Loader[9] were tested by different statistical approaches.Single 10 Inch Two Way Professional Passive Coaxial Monitor Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader(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 in2021 Super Cheap Curved 4K Smart LED TV Great Original Panel.

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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].Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw/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.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,500ml Round Resealable Tin Can with Easy Open Screw Top Lid, required air pressure, and power were considered as predictor variables simultaneously.

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Yangtze Solar Power Grid Tied System Home 5kw 5K$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.Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, 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%)1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System. 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.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw. Moreover,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Metal Tin with Steel Handle for Paint, 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 (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle), maintenance (Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush), 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,Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps), and annual cost index of mineral processing equipment.Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale. Maximum MAER of 13.5% and minimum R2of 0.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.AC Fan Frequency Inverter VFD Vector Control 3pH 18kw.Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw,vol. 46, no.6. pp. 559-562.         [Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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