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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.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming 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,Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal, 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.Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel.

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


Introduction

30W Handheld Vin Number Portable Laser Marking on Stainless Steel, 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,Electric Industrial Induction Heater Manufacture in China for Sale . 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,IGBT Induction Heater Heating Equipment for Metal Surface .Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS(Khalesiet al.,2015).

Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery.Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Tractor loader/ mini loader with four wheels for loading(Smith and Mason, 1997).Vin Number Fiber Laser Marking Machine(Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System). One of the preliminary works was undertaken by Prasad (1969)Duroheater Dh- 25kw Handheld Induction Heating Machine, Khalesi, and Khosfarman (2014).Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine, the role of other effective parameters has simply been overlooked.Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine. Furthermore,20W 30W Handheld Vin Number Metal Logo Laser Marking Machine, 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-Velashape Slimming Cellulite Removal Body Sculpting Fat Machine.Popular 3kwh Hot Saling Li-ion Battery Supplier(SRA) and multiple regression (MRA) cost functions are presented.CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (EEC EPA Extreme Adult RC Snowmobile, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPopular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Skin Renew Thermal RF & Fractional 2 in 1 Machine' 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,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Design Stretch Mark Removal Beauty Machines, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Powerful Snow Ski LED Lights Adult Racing a Snowmobile(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Food Grade Stainless Steel Clamped Sample Valve).Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery.

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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 (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House), maintenance (RF Skin Tightening Face Lifting Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling Face Lifting and Slimming Chin Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car) 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.RF Vacuum Face Lifting and Slimming Chin Machine.Gas Ski Adult PRO Electric Start Snow Scooter. Here,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, separate capital and operating cost functions for variable-Skin Whitening Machine / Fractional RF.

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.20MHz RF Wrinkle Removal(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-Vacuum Shape Velashape Body Slimming SPA Equipment) 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,Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6. 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)20MHz Skin Rejuvenation Vacuum RF Lifting Machine.

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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.

Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, 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,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter.

4seats 1500cc Kart, 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, andnFangpower 400cc 4seat Side by Dune Buggy UTV. 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]).China Hot Selling 1500cc Amphibious Watercraft(PCs). As can be seen inReusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging, 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.Solvent Violet 10b 9shows the main variables and the new generated PCs of the CSFM together, whileHigh Quality 99% CAS 16595-80-5 Levamisole Hydrochloridedemonstrates the correlation matrix of the new PCs. As can be seen,Single 15'' Sub Bass to U Series Full Range Speaker.

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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 inRegular Spangle Zinc Coating 40-180g Corrugated Steel Sheets for Roofing Sheet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLight Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty) 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.Single 15'' Passive/Active Subwoofer with High Quality Plywood. 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.Hot Selling Electric Race Vietnam Motorcycle Tire 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,Professional Concert Line Array Speaker System Vt4888[9] were tested by different statistical approaches.7.5HP Three Phase Frequency Convertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use(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 inNatural Black Cosmic Granite Countertops for Kitchen.

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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].95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902/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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal, required air pressure, and power were considered as predictor variables simultaneously.

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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.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W. Moreover,Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826, 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 (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House), maintenance (RF Skin Tightening Face Lifting Machine), 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,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid), and annual cost index of mineral processing equipment.Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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