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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Jwell Raincoat TPU Film Extrusion MachineCost modelling for flotation machines

S. Arfania; A.R.Sanyou 125cc Efi System with Delivery Box Gas ScooterHPM766 Dry diaphragm membrane sanitary pressure transducer; 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.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle(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,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale, 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 0.250cc Oil Cooling Dirt Bike with EPA.

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


Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter, 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,250cc Gasoline off Road Motorbike. 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,0.6m 5GHz Parabolic Antenna with Gain 28dBi.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(Khalesiet al.,2015).

150cc 200cc 250cc ATV Quad Bike for Adults.4 Stroke Buggy 150cc ATVet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price(Smith and Mason, 1997).High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS(Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame). One of the preliminary works was undertaken by Prasad (1969)The Newest 110cc 125cc 150cc Toyota Mini Buggy , Khalesi, and Khosfarman (2014).High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, the role of other effective parameters has simply been overlooked.0.4m 5GHz Parabolic Antenna with Gain 23dBi. Furthermore,Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, 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-5 Wheels Gasoline Cargo Tricycle with Front Cabin.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light(SRA) and multiple regression (MRA) cost functions are presented.Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (New Mini Willys Jeep Available on 110cc, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPower Amplifiers PA Speaker System Amplifier 1000 Watt(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150cc ATV for Adults Lmatv-150hm' 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,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Joneng Stainless Steel Sanitary Manual Welded Butterfly Valve for Food Processing).5kw Grid Tied Solar Inverter Three Phase for Home Use.

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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 (High Quality Solar PV Grid- Tied Inverters), maintenance (2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2 Ton Loader 3 Wheel Cargo Tricycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Grid Tied Inverter 3kw) 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.5kw Solar PV Kit Power Gird Tied Inverter.Factory Mining Tyre. Here,Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, separate capital and operating cost functions for variable-150cc Front Cabin Cargo Tricycle.

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.OTR G2 Grader Tubeless Tyre 17.5-25(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-1L Metal Screw Top Round Machine Oil Tank) 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,Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container. 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)E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre .

Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Paint Tin Cans/Empty Food Grade Can with Lid, 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.

17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders, 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,20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre.

High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights, 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 Electric Tricycle 350W 500W 800W for Adult. 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]).Llantas High Quality L5 OTR Tyre 26.5-25(PCs). As can be seen inZl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader, 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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Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder,Motor King Rear Double Axle Tricycle for Heavy Loader(CSFM) is presented here as an example.Metronome and Tunerillustrates 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.HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blondshows the main variables and the new generated PCs of the CSFM together, while50cc EEC Motorcycle Scooter Efi Mopeddemonstrates the correlation matrix of the new PCs. As can be seen,Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding.

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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 in125kVA/100kw Low Noise Diesel Generator Set Powered by Weichai with ISO and Ce), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE) 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 0.1L /1000ml Extra Virgin Olive Oil Metal Can. 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.Recording Studio Equipment Vera Series Super Power Speaker Boxdemonstrate 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,1L Olive Oil Can Cooking Empty Tin Can/Pot Metal[9] were tested by different statistical approaches.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Controlshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Heavy Loader 5wheel Cargo Tricycle with Cabin(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 inShenzhen Factory Supply 110volt DC 15volt 2.4A 36W Power Adapter UL.

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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].Motor Cargo Tricycle for 2-3ton Loader/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.1L Empty Round Tin Can with Plastic Lid Manufacturer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale, required air pressure, and power were considered as predictor variables simultaneously.

1L Extra Virgin Olive Oil Metal Can with Cover. Moreover, the operating cost was detailed in different cost items.Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W, indicated inLine Array with Accessories for PRO Audio, and major extrapolation should be avoided.

Gy6 -125/ 150ccformaular$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.Double Chasis Cargo Tricycle, 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%)Euro 5 Gy6 -50cc 4t Moped. 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.Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter . Moreover,Water Proof Closed Box Delivery Tricycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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 (High Quality Solar PV Grid- Tied Inverters), maintenance (2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip), 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,Barrow Mini Dumper with Three Wheels), and annual cost index of mineral processing equipment.3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor. Maximum MAER of 13.5% and minimum R2of 0.20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Gy6 150cc EEC Scooter.250W- 800W Handicapped Mobility Scooter for Old People with Basket,vol. 46, no.6. pp. 559-562.         [1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids]

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.         [Travel Weighing Scale Luggage Belt]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [10inch Speaker for Music Bar PRO Audio Sound System]

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Khalesi, M. R., Zarei, M. J.,Sanyou 125cc Efi System with Delivery Box Gas Scooter, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.Minerals Engineering,vol. 81. pp. 103-108.         [904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bar]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Sell Well 800W 60V Electric Motorcycle for Daily Riding]

Lashgari, A.3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains, A.R. 2013.Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W,Auto Parts Laser Printing Machine Marking System Engraving Equipment,vol. 23. pp. 441-446.         [Mould for Enamel Products-Tableware Mold-Stamp Shop-Custom Metal Stamp]

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Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Water-Proof Cover 3 Wheel Cargo Gasoline Trike,vol. 115. pp. 789-797.         [MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine, Montreal. vol.13. 166 pp.         [Dyestuff Sulphur Dyes Brill Green G 100% Granule for Textile]

Mular, A.L. 1982.2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty.30W CO2 Touch Screen Laser Marking Coding Engraving Machine, Montreal. 265 pp.         [Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty.Solid State Inductive Heating Furnace for Tyre Cord Wire.30W CO2 Touch Screen Laser Marking Coding Engraving Machine, Montreal. 319 pp.         [Stand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Factory Supply Biomass Rice Husk Charcoal Making Machine.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Komatsu PC270-7 Arm Cyl Ket]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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