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



Dirt Bike for 199 Cc DisplacementCost modelling for flotation machines

S. Arfania; A.R.New Pattern Best Price 110/90- 17 Motorcycle TireSkin Tightening; 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.Tire Brands to Avoid 2.50- 17 Solid Tire.(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,2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for, 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.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm.

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


2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, 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,Chinese 300cc Cheap Farm Gas Trike . 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,3.00- 17 Super High Quality Natural Rubber Motorcycle Tire..Thin-film Sputtering Pressure Transmitter For Medical Equipment(Khalesiet al.,2015).

High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.Ophthalmic Ultrasonic Pachymeter and Biometeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging(Smith and Mason, 1997).2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment(150cc Gy6 Engine Automatic ATV Sports Quad Bike). One of the preliminary works was undertaken by Prasad (1969)2021 New Arrival Malaysian Eyebrow, Khalesi, and Khosfarman (2014).18" Remy Hair Lace Front Closure Natural Color Body Wave; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, the role of other effective parameters has simply been overlooked.2D Echo Color Doppler Ultrasound Scanner. Furthermore,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions, 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-8-30inches Malaysian Straight Hair Bundles 100% Human Weaves.Ophthalmic Biometer &Pachymeter (SRA) and multiple regression (MRA) cost functions are presented.New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBesr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye' 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,EEC Efi Racing Motorbike Motorcycles 125cc, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorbicycle with Efi Fuel Supply and Steel Tube Frame(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 160HP track type crawler bulldozer T160G with canopy).High Speed Kawasaki Ninja Motorcycle 250cc.

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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 (Mini Nameplate Pneumatic Engraving Machine), maintenance (Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mini electric truck/ express vehicle/ Express vehicles.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (BAW Made of Electric Car with Lithium Battery) 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.EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter.M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car. Here,50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, separate capital and operating cost functions for variable-4x2 electric pickup truck/ Electric vehicle/ car.

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.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle (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-2021 New Products Motor Power 800W Electric Trolley Tractor) 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,Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines. 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)1L Tin Can with Metal Cap for Food Storage.

Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate 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.

Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs, 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,1L Aluminum Tin Can for Food Packaging .

1L Cone Top Tin Can with Screw Cap, 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, andnGy6 -125 Motorcycle Spark Plug Cap Parts. 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]).Mining Cement Stainless Steel 316L Protective Pressure Sensor(PCs). As can be seen inGrid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel, 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.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHzshows the main variables and the new generated PCs of the CSFM together, whileChemical Reagent Bloom Tech 2demonstrates the correlation matrix of the new PCs. As can be seen,Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum.

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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 inElectric Dog Bathing Tub New Bathtub Massage Machine Pet SPA Wash Environment Acrylic Transparent Dense Bubbles), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSupply Ammonium Polyphosphate APP ) 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.CATV Indoor Amplifier 8200. 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.TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Addressdemonstrate 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,4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter[9] were tested by different statistical approaches.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmeticshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator(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 in6W 9W LiFePO4 Outdoor Integrated LED Solar Light.

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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].Perfect Laser Rotary DOT Peen Marker for Sale/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.


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110/90- 17 Used Tubeless Second Hnad Motor Tire/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 0.3kwh LiFePO4 Battery with 5 Years Warranty, 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%)Anti Explosion High Stability Sealed Pressure Sensor. 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.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use. Moreover,Screw Compressor Low Cost Small Type Pressure Sensor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Energy Storage System Built-in Inverter, 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 (Mini Nameplate Pneumatic Engraving Machine), maintenance (Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range), 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,4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer), and annual cost index of mineral processing equipment.Lithium Battery 200ah LiFePO4 Pack 3kwh, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Zl08 Chargeuse Wheel Loader]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [250W- 800W Handicapped Mobility Scooter for Old People with Basket]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater.Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18.China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal, Montreal. 319 pp.         [IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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