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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



Indoor DJ Stage Two Way Active Line Array Cabinet BoxCost 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.for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000(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,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter, 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.Best Selling Electric Scooter Mini 800W .

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


150cc Automatic Racing Sports Exclusive Design ATV , 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,High Quality Cheap 200cc and 150cc Farm Utility ATV. 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,1GHz Outdoor Bi-Directional CATV Amplifier.New Mini Willys Jeep Available on 110cc(Khalesiet al.,2015).

Hot Sell 800W Delivery City Electric Scooter for Take-out Business.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electricet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike(Smith and Mason, 1997).My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe(Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz). One of the preliminary works was undertaken by Prasad (1969)3kw Liquid Cooling UHF Digital TV Transmitter DTV, Khalesi, and Khosfarman (2014).He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner, the role of other effective parameters has simply been overlooked.Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module . Furthermore,Bi-Directional Transmission Distribution Amplifier SA822, 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-Encryption Ts Satellite IRD.Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods(SRA) and multiple regression (MRA) cost functions are presented.Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Closed Canvas Box 2 Ton Cargo Tricycle' 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,Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,250cc Gasoline off Road Motorbike, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0.6m 5GHz Parabolic Antenna with Gain 28dBi(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stuffed Plush Animals Midnight The Owl Soft Toy Doll 15cm).Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart.

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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 (150cc 200cc 250cc ATV Quad Bike for Adults), maintenance (4 Stroke Buggy 150cc ATV) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (The Newest 110cc 125cc 150cc Toyota Mini Buggy ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS) 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.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty.0.4m 5GHz Parabolic Antenna with Gain 23dBi. Here,Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, separate capital and operating cost functions for variable-5 Wheels Gasoline Cargo Tricycle with Front Cabin.

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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light(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-Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on) 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,New Mini Willys Jeep Available on 110cc. 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)150cc ATV for Adults Lmatv-150hm.

12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip, 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.

L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, 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,150cc Quad 4WD ATV for Adults.

Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 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, andnIP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip. 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]).2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty(PCs). As can be seen inCheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult, 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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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.Frequency Inverter Converter 50Hz 60Hzshows the main variables and the new generated PCs of the CSFM together, whileGlycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyaceticdemonstrates the correlation matrix of the new PCs. As can be seen,Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P.

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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 inMedical Level Stabilization Oxygen Supply 3L Concentrator), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDual 10 Inch 600W High-End Stage Line Array 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.Grid Tied Inverter 3kw. 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.Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4demonstrate 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,5kw Solar PV Kit Power Gird Tied Inverter[9] were tested by different statistical approaches.Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Mining Tyre(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 inEtt Original Chips Desktop RAM DDR3 4GB 1333 MHz.

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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].150cc Front Cabin Cargo Tricycle/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.OTR G2 Grader Tubeless Tyre 17.5-25; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter, required air pressure, and power were considered as predictor variables simultaneously.

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E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre $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.Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , 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%)1L Paint Tin Cans/Empty Food Grade Can with Lid. 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.17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders. Moreover,20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights, 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 (150cc 200cc 250cc ATV Quad Bike for Adults), maintenance (4 Stroke Buggy 150cc ATV), 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 Electric Tricycle 350W 500W 800W for Adult), and annual cost index of mineral processing equipment.Llantas High Quality L5 OTR Tyre 26.5-25, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Motor King Rear Double Axle Tricycle for Heavy Loader.Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding,vol. 46, no.6. pp. 559-562.         [Senior Electric Guitar ]

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.         [Yishan 160HP hydraulic dozer TY160G with u-blade]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Zongshen 150cc Cargo Tricycle with Top Cover]

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Khalesi, M. R., Zarei, M. J.,20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent.Minerals Engineering,vol. 81. pp. 103-108.         [Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker]

Kim, G.H., An, S.H., and Kang, K.I. 2004.1L /1000ml Extra Virgin Olive Oil Metal Can, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [125cc Retro Scooter Motorcycle]

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.         [500ml Round Resealable Tin Can with Easy Open Screw Top Lid]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Motor Cargo Tricycle for 2-3ton Loader,vol. 115. pp. 789-797.         [Asapp-II Ammonium Polyphosphate for Intumescent Paints ]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [High-Performance Variable Frequency Inverter 3-Phase 380V]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.1L Empty Round Tin Can with Plastic Lid Manufacturer, Montreal. vol.13. 166 pp.         [3X2m 200 LED Solar Powered Window Curtain/Net/Icicle String Light 8 Modes Working Outdoor Garden Patio Christmas Garland Fairy]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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