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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.T Solar Mc4 Energy System Connector PV(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,Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, 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.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL.

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


Introduction

Mc4y Solar System Waterproof Connector, 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,Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel. 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,Solar Combiner Box DC 550V System with Mc4 Connector.Wspvcc Solar PV Connector Mc4 High Effiency IP 67(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal' 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),Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Textured Vegetable Soya Protein Chunk Food Extruder Machine).Vin Number Fiber Laser Marking Machine.

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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 (Duroheater Dh- 25kw Handheld Induction Heating Machine), maintenance (Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20W 30W Handheld Vin Number Metal Logo 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.Velashape Slimming Cellulite Removal Body Sculpting Fat Machine.Popular 3kwh Hot Saling Li-ion Battery Supplier. Here,CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine, separate capital and operating cost functions for variable-EEC EPA Extreme Adult RC Snowmobile.

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.Skin Renew Thermal RF & Fractional 2 in 1 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-Home Use RF Velashape 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).

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whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter.

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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.

New Design Stretch Mark Removal Beauty Machines, 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,Powerful Snow Ski LED Lights Adult Racing a Snowmobile.

Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery, 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, andnAllsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House. 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]).RF Skin Tightening Face Lifting Machine(PCs). As can be seen inStylish Yellow Two-Seater Children's Sofa, 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.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificateshows the main variables and the new generated PCs of the CSFM together, whileHot Sale High Performance Vector Frequency Converter 380V 45/55kwdemonstrates the correlation matrix of the new PCs. As can be seen,RF Vacuum Face Lifting and Slimming Chin Machine.

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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 inQiyun 6000kg 8000kg Dock Leveler Warehouse Loading Ramp Bay Area Hydraulic for Logistics), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPopular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/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.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus. 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.Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packagingdemonstrate 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,Skin Whitening Machine / Fractional RF[9] were tested by different statistical approaches.Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20MHz RF Wrinkle Removal(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 inHeavy Duty Warehouse.

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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].Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6/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.20MHz Skin Rejuvenation Vacuum RF Lifting Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, required air pressure, and power were considered as predictor variables simultaneously.

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Globalipl Body Face Slimming Fine Jaw Line 20MHz Device$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.Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad 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%)4seats 1500cc Kart. 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.Fangpower 400cc 4seat Side by Dune Buggy UTV. Moreover,China Hot Selling 1500cc Amphibious Watercraft, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, 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 (Duroheater Dh- 25kw Handheld Induction Heating Machine), maintenance (Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System), 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,Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array), and annual cost index of mineral processing equipment.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, and over- extrapolation could result in misguiding estimates.

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Lashgari, A.95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, A.R. 2013.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,vol. 23. pp. 441-446.         [Ransheng Best Sale Nail Art Factory Supplies OEM Logo Free Sample 240 Color Gel Lacquer Varnish Enamel Wholesale UV Polish]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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