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


Non Standard Eco Friendly Rubber Seal O-RingCost modelling for flotation machines

S. Arfania; A.R.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price; 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.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650(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,80kw Grid Tied Solar System for Commercial or Industrial Use, 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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System.

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


Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type, 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,Ophthalmic Equipment Biometer Scan a. 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,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer.860MHz CATV One Way Amplifiers(Khalesiet al.,2015).

CATV Mini Line Extending 2-Way Amplifer.20MHz Probe Ophthalmology Ultrasound MD-2300Set al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 7.5kw MPPT with High Efficiency Solar Water Pump Controller(Smith and Mason, 1997).860MHz Two Way Amplifier (Polyamide Resin). One of the preliminary works was undertaken by Prasad (1969)Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle, Khalesi, and Khosfarman (2014).Ophthalmic a Scan Portable Handheld Biometer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life, the role of other effective parameters has simply been overlooked.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System. Furthermore,500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-10kw Cheap Solar Panels Complete Grid Tied System.High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle(SRA) and multiple regression (MRA) cost functions are presented.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSofa Set Fabric Velvet Furniture(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power' 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,Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bias 29 Inch off Road Tyre OTR Tires 29.5-29 33.25-29).Samll EPA 0.8ton Tractor Loader.

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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 (Closed Motorized China Cargo Tricycle with Box ), maintenance (Covered Tricycle Carriage Closed Cargo Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Metal Packing Chemical Round Tin Can) 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.1 Liter Cans for Curing Agent.Cone Top 1 Liter Glue Usage Tin Can. Here,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, separate capital and operating cost functions for variable-Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light.

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.PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty(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-50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover) 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,200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle. 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)Tricycle with Wagon 3 Wheel Motorcycle Box.

High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, 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.

Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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,Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty.

20watt Mopa Laser Marking Machine for Anodized Aluminum Black, 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, andnHot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips. 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]).No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty(PCs). As can be seen in180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820, 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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Power Saver Device ,1liter Empty Paint Tin Can with Lids Factory(CSFM) is presented here as an example.Digital Display Hygienic Pressure Indicator Transmitterillustrates 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.50cc Monkey Bike Gasoline Motorcycle Euro4 Efishows the main variables and the new generated PCs of the CSFM together, whileDouble 10inch Line Array System Box demonstrates the correlation matrix of the new PCs. As can be seen,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.

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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 inEasy Sight WiFi Connection Drain Inspection Camera), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot-Sale Sporty Electric Motorcycle Mn5) 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.Empty Canister White Metal Round Packaging Cans Box Tea Tins. 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.5GHz 30dBi Grid Parabolic Antenna demonstrate 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,2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle[9] were tested by different statistical approaches.Er08 Farm Mini Loader with Standard Bucket for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip(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 inHigh Quality Environmental RTV2 Liquid Silicone Rubber for Medical Teaching.

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Cost model for variable-Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet

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].Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped/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.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,80kw Grid Tied Solar System for Commercial or Industrial Use, required air pressure, and power were considered as predictor variables simultaneously.

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Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike$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.Malaysia Laser Marking Machines for Jewellery, 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%)Enclosed Covered Tricycle with Wagon. 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.Color Marking 20W Fiber Laser Machine Price for Metal. Moreover,Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, 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 (Closed Motorized China Cargo Tricycle with Box ), maintenance (Covered Tricycle Carriage Closed Cargo Box), 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,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle ), and annual cost index of mineral processing equipment.Mountain Using Motorcycle with Strong Steel Tube Frame, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10W 20W 30W portable Fiber Laser Marking Machine. Maximum MAER of 13.5% and minimum R2of 0.CATV 860MHz One Way Amplifier-feasibility and even feasibility study level of projects.


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Khalesi, M. R., Zarei, M. J.,Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-High Efficiency SIM Card Fiber Laser Marking Machine.Minerals Engineering,vol. 81. pp. 103-108.         [Cone Top 1 Liter Glue Usage Tin Can]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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