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



AC Frequency Converter2HP 1phaseCost modelling for flotation machines

S. Arfania; A.R.China Al-Gw6 800W Electric Motorbike with 60V/20ah BatteryTrimethyl Cis; 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.Linux TV Box International Internet Smart IPTV Zgemma I55(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,Replica Aluminum Alloy Wheels for BMW, 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 0.20" Inch Replica Aluminum Alloy Wheels for Astonmartin.

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


2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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,Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg. 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,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(Khalesiet al.,2015).

Medical Automatic Ultrasound Bone Densitometer in Low Price.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in Chinaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper(Smith and Mason, 1997).Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner(Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min). One of the preliminary works was undertaken by Prasad (1969)IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, Khalesi, and Khosfarman (2014).Automatic High Effective Ultrasound Bone Densitometer Made in China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Central Drive Three Wheel Dumper for Sale, the role of other effective parameters has simply been overlooked.Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner. Furthermore,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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-Apr125 White Motorcycle.Apr125 Red Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Apr125-2 White Motorcycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Underwater Swimming Pool Light Decoration LED Lamp, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectric Motorcycle (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner' 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,Diesel Dump Central Steering Drive Three Wheeler From China for Sale

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Diesel Three Wheel Tricycle with Sunshade, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),One and Half Rows Three Wheeler for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Silicone Cold Shrink Tubing for Communication Tower).Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc.

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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 (Adult 800W Power Electric Scooter Suit for Woman), maintenance (800W Electric Motorbike with Front Disc Brake) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model) 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.800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle.New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power. Here,5GHz 30dBi Grid Parabolic Antenna , separate capital and operating cost functions for variable-5GHz Dish Parabolic Antenna 29dBi.

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.2.4/ 5GHz Dual Band H-Pol Sector Antenna(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-Electric Dirt Bike Zm-Es18 with 500W- 800W Motor) 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,5GHz 20dBi Enclosure WLAN Antenna. 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)5GHz 45deg Dual Pol Sector Antenna.

5GHz 23dBi Enclosure WiFi Antenna, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz Dual Pol Sector Antenna with Enclosure , 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.

5GHz 34dBi Dish WLAN Antenna, 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,5GHz 18dBi Dual Polarization Sector WiFi Antenna.

18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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, andnPoplar Film Faced Plywood Board with Carb Certificate. 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]).18W 12V IP68 Waterproof LED Swimming Pool Lamps(PCs). As can be seen inGas Ski Adult PRO Electric Start Snow Scooter, 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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E1 Glue Malamine Mositure-Proof MDF with Carb Certification,High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports(CSFM) is presented here as an example.Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Containerillustrates 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.3HP Frequency Converter Vector Three Phaseshows the main variables and the new generated PCs of the CSFM together, while2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adultsdemonstrates the correlation matrix of the new PCs. As can be seen,Quality 18mm Carb Birch Okoumen Plywood.

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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 inSolar Home Bulb LED Light Lamp System New Patented), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Power Horn Speaker H3) 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 0.30kw Grid Tied Solar Power System Home Popular in Philippines. 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.China Supplier Ammonium Sulphate Compound Fertilizerdemonstrate 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,New Condition Large Capacity Mini Truck Dumper[9] were tested by different statistical approaches.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty(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 inDrop Shipping No MOQ Popular Customized Acrylic Treble Clef Neon LED Advertising Sign for Music.

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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].2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip/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.150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Replica Aluminum Alloy Wheels for BMW, required air pressure, and power were considered as predictor variables simultaneously.

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300cc Cargo Tricycle of Asia Market$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.Building Material Commercial Plywood with Carb to Europe, 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%)AL908 800kg Rated Load Wheel Loader with CE Approved for Sale. 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.China Jiaxing Jarol Frequency Inverter 0.75kw/220V New. Moreover,Portable Laptop Digital Automatic Ultrasound Bone Densitometer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Haiqin Brand 0.8ton Mini Loader , 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 (Adult 800W Power Electric Scooter Suit for Woman), maintenance (800W Electric Motorbike with Front Disc Brake), 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,Jarol Solar Inverter 5.5kw 3 Phase), and annual cost index of mineral processing equipment.Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Textile Crane Centrifugal 380V Variable Frequency Drive VFD. Maximum MAER of 13.5% and minimum R2of 0.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports-feasibility and even feasibility study level of projects.


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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Hot Sale 150ml Round Clear Honey Glass Jar]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60]

Khalesi, M. R., Zarei, M. J.,China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.Minerals Engineering,vol. 81. pp. 103-108.         [Frequency Drive Converter Solar Pump Inverter]

Kim, G.H., An, S.H., and Kang, K.I. 2004.12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [2004-10 for Volkswagen]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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