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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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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light(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,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, 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.Beverage Water Packing Equipment .

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


Introduction

Automatic Shrink Wrapping Machine 0-20package/Min, 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,Automatic Bottle PE Film Shrink Wrapping Packing Machine . 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,Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching.IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany' 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,Portable-Rorary Type DOT Peen Marking Machine for Metal

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Underwater Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (SMD LED Mlt-SMD-5730-03150scg).WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater.

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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 (20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals), maintenance (Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light) 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.150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery.8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light. Here,10W Tabletop Series Fiber Laser Marking Machine, separate capital and operating cost functions for variable-Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery.

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.Shrink Wrapping Machine for Water Packing (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-IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light) 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,3kwh Rechargeable Battery Solar Energy Power System. 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)55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17.

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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.

Professional Factory Motorcycle Tyre and Motorbike , 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,High Quality Motorcycle Parts Tyre .

Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing, 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, andnHigh Speed Bottles Shrink Wrapping Machine/Group Packing Machine. 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]).Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line(PCs). As can be seen inTopstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment, 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.Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passatshows the main variables and the new generated PCs of the CSFM together, while2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MWdemonstrates the correlation matrix of the new PCs. As can be seen,Excellent Motorcycle Cylinder for Gy6 -100 .

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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 inDrop Shipping Custom It Was Always You LED Neon Words Light Sign for Home Party Wedding), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0.4m 5GHz Parabolic Antenna with Gain 23dBi) 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 0.25kw Electromagnetic Induction Heater for Tools Welding. 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.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystallinedemonstrate 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,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light[9] were tested by different statistical approaches.Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDFshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565(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 Magnetic Printed Paper Book Mark Beautiful Folding Custom Bookmarks.

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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].Professional Manufacture Y Solar Mc4 Energy System Connector PV/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, required air pressure, and power were considered as predictor variables simultaneously.

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1L High End Glass Vodka Wine Bottle with Matte Black Finish$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.Mc4y Solar Connector, 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%)1000V Solar Mc4 Energy System Connector IP67 PV. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.RF Wrinkle Removal Beauty Machine. Moreover,Thermal RF & Fractional Wrinkle Removal, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles, 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 (20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals), maintenance (Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic), 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,Wrinkle Removal Super RF Beauty Machine), and annual cost index of mineral processing equipment.Glass Bottle 1L Empty 1000ml Milk, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Mc4y Tyco Solar Connector. Maximum MAER of 13.5% and minimum R2of 0.Mc4 Electronic Connector-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Thiosemicarbazide CAS 79 -19-6White Truck Wheel 17.5X6.00 Steel RimsCorresponding author

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