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



Natural Wood Sapele Veneer Plywood for Furniture GradeCost 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.on Grid Solar Panel System 30kw Tied Home Power(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,Tractor loader/ mini loader with four wheels for loading, 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 0.2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike.

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


Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale, 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,Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters. 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,Three Phase Frequency Inverter Made in China Hot Sale.0.8ton mini wheel loader with small bucket for multifunctional use(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPolyamide Fabric PA(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android' 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,Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM/ODM Accept Popular Perfumes with Good Price).VFD Frequency Converter Inverter for Constant Pressure Water Supply.

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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 (AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters), maintenance (7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,large cabin and powerful engine Customized 0.8ton mini wheel loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine) 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.AL908 0.8ton Wheel Loader Machinery for Sale.Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket. Here,800kg China Small Front High Quality Wheel Loader for Sale in Europe, separate capital and operating cost functions for variable-Melamine Glue WBP Commerical Plywood.

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.Decorative Pine Groove Plywood Veneer Fancy(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-E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated) 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,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork. 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)18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.

Filmfaced Plywood with High Quality and Cheap Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (9mm E1 Glue Bintangor Plywood Board, 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.

E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room, 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,E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W.

AC Drive, 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 Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle. 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]).Sell Well 800W 60V Electric Motorcycle for Daily Riding(PCs). As can be seen inDiesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed, 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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15kw Grid Tied Solar System,Rosen 8kw Grid Tied on Solar Panel System(CSFM) is presented here as an example.Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmideillustrates 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.BMW N63 S63 Camshaft Alignment Tool Set shows the main variables and the new generated PCs of the CSFM together, whileOxygen Absorbers Food Packaging Vacuum Packed Bag for Cookiesdemonstrates the correlation matrix of the new PCs. As can be seen,0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.

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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 inDigital Printing Polyester School Bag Students Book Shoulder Backpack), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Stage Line Array System Dual 10'' Speaker) 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 11kw Solar Panel System Home Commercial Power Supply. 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.Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner 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,5kw Grid Tied Solar Power System for Home Use[9] were tested by different statistical approaches.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adultshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.12kw Grid Tied Solar System(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 inWholesale Custom Logo Stamped Metal Tag Charms.

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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].200cc/300cc Adults Racing Go Kart for Sale Ce Certificate/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.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tractor loader/ mini loader with four wheels for loading, required air pressure, and power were considered as predictor variables simultaneously.

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China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible$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.Sporty Electric Scooter , 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%)SMD3014/2835 AC/DC Underwater LED Swimming Pool Light. 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.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box. Moreover,Best Selling 4X4 Farm ATV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao, 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 (AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters), maintenance (7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump), 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,Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery), and annual cost index of mineral processing equipment.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [China Ethyl 2-Bromovalerate Liquid CAS 615-83-8]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Diesel Engine Parts Fuel System Nozzle Dlla145pn574]

Khalesi, M. R., Zarei, M. J.,Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Hot-Sale Sporty Electric Motorcycle Mn5.Minerals Engineering,vol. 81. pp. 103-108.         [18" Remy Hair Lace Front Closure Natural Color Body Wave]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.18W Recessed IP68 PAR56 LED swimming Pool Underwater Light,vol. 115. pp. 789-797.         [Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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