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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

GENERAL PAPERS

Solvent Violet 10b 9Cost modelling for flotation machines

S. Arfania; A.R.Velashape Slimming Cellulite Removal Body Sculpting Fat MachineHigh Quality 99% CAS 16595-80-5 Levamisole Hydrochloride; M.R. Khalesi

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.Popular 3kwh Hot Saling Li-ion Battery Supplier(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,CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming 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.EEC EPA Extreme Adult RC Snowmobile.

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


Introduction

Skin Renew Thermal RF & Fractional 2 in 1 Machine, 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,Home Use RF Velashape 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,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(Khalesiet al.,2015).

Snow Mobile Rubber Track Gas Adult Ski Scooter.Factory Price Home Solar Energy System 3kwh with 5 Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Sophisticated Price of Polyamide Resin for Whosale(Smith and Mason, 1997).New Design Stretch Mark Removal Beauty Machines(Polyamide Resin). One of the preliminary works was undertaken by Prasad (1969)Powerful Snow Ski LED Lights Adult Racing a Snowmobile, Khalesi, and Khosfarman (2014).Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House, the role of other effective parameters has simply been overlooked.RF Skin Tightening Face Lifting Machine. Furthermore,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System, 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-Hot Selling Face Lifting and Slimming Chin Machine.110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car(SRA) and multiple regression (MRA) cost functions are presented.RF Vacuum Face Lifting and Slimming Chin 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 (Gas Ski Adult PRO Electric Start Snow Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHo-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus' 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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Supplier EEC and EPA Approved 1500cc Quadski(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 180HP reliable hydraulic bulldozer TY180 with Komatsu technology).Globalipl Body Face Slimming Fine Jaw Line 20MHz Device.

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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 (Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter), maintenance (4seats 1500cc Kart) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fangpower 400cc 4seat Side by Dune Buggy UTV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Hot Selling 1500cc Amphibious Watercraft) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W) 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.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220. Here,Single 15'' Sub Bass to U Series Full Range Speaker, separate capital and operating cost functions for variable-Benzyl Benzoate Pharmaceutical Intermediates.

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.Single 15'' Passive/Active Subwoofer with High Quality Plywood(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-Professional Concert Line Array Speaker System Vt4888) 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,Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use. 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)High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock.

95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, 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.

Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, 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,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620.

Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock, 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, andnPopular Speaker/ Compact Passive Speaker /PRO Audio with High Quality. 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]).Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6(PCs). As can be seen inwith Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty, 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.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loadershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.

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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 in3D Wheel Aligner /Wheel Alignment Machine Price with Pure Aluminum Alloy Beam and Column Ss-3D-A2), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines) 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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W. 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.K05/K10/ K20 /K30/K40 Tungsten Carbide Flatdemonstrate 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 All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801[9] were tested by different statistical approaches.China Electric Tricycle 350W 500W 800W for Adultshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Column Speaker of Empty Alu. Cabinet (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 inProtective Surgical Medical Face Mask.

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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].High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806$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 Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5, 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%)Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa. 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.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824. Moreover,PRO Audio Accessories of Line Array Rigging K1 , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827, 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 (Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter), maintenance (4seats 1500cc Kart), 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,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System), and annual cost index of mineral processing equipment.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6. Maximum MAER of 13.5% and minimum R2of 0.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Safe Shipping Sarms Powder ACP-105.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, Montreal. 319 pp.         [30W Handheld Vin Number Portable Laser Marking on Stainless Steel]

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Prasad, L. 1969.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging]

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Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [4MP HD WDR Network Vandal-Proof IR Dome Camera {Ipc-Hdbw5421e-Z}]

Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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