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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.Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W(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,3kwh LiFePO4 Battery System Energy Power, 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 0.800W Stadium Lighting Serials LED Projector Light.

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


Introduction

Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight, 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,Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight. 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,T Solar Mc4 Energy System Connector PV.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in16 17 18 Inch Vossen CV5 Alloy Wheel(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),30W Handheld Vin Number Portable Laser Marking on Stainless Steel(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hotel Modern Bathroom Vanity with Round Luminous Mirror).Electric Industrial Induction Heater Manufacture in China for Sale .

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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 (IGBT Induction Heater Heating Equipment for Metal Surface ), maintenance (Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vin Number Fiber Laser Marking Machine) 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.Duroheater Dh- 25kw Handheld Induction Heating Machine.Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System. Here,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine, separate capital and operating cost functions for variable-Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine.

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.20W 30W Handheld Vin Number Metal Logo Laser Marking Machine(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-Velashape Slimming Cellulite Removal Body Sculpting Fat Machine) 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,Popular 3kwh Hot Saling Li-ion Battery Supplier. 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)CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming 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.

Home Use RF Velashape Machine, 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,4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh.

Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter, 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, andnSnow Mobile Rubber Track Gas Adult Ski Scooter. 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]).Factory Price Home Solar Energy System 3kwh with 5 Years Warranty(PCs). As can be seen inHigh Quality Economic Ultrasound a/B Scan for Ophthalmology , 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.Smokeless Rice Husk Continuous Carbonization Oven for Saleshows the main variables and the new generated PCs of the CSFM together, while800W Electric Scooter demonstrates the correlation matrix of the new PCs. As can be seen,Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House.

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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 in20" 2 Axles Skeletal Container Semi-Trailer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle) 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 0.3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System. 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.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedaldemonstrate 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,Hot Selling Face Lifting and Slimming Chin Machine[9] were tested by different statistical approaches.100% High Purity Polyamide Resin for Inkshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car(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 in1000kVA/800kw Power Generator Diesel Engine Genset Set for Construction.

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Cost model for variable-RF Vacuum Face Lifting and Slimming Chin Machine

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].Gas Ski Adult PRO Electric Start Snow Scooter/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

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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.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe. Moreover,China Supplier EEC and EPA Approved 1500cc Quadski, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, 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 (IGBT Induction Heater Heating Equipment for Metal Surface ), maintenance (Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS), 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,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter), and annual cost index of mineral processing equipment.4seats 1500cc Kart, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, Montreal. 265 pp.         [Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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