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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

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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.110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car(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,RF Vacuum Face Lifting and Slimming Chin 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.Gas Ski Adult PRO Electric Start Snow Scooter.

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


Introduction

Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, 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,Skin Whitening Machine / Fractional RF. 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,20MHz RF Wrinkle Removal.Vacuum Shape Velashape Body Slimming SPA Equipment(Khalesiet al.,2015).

Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.20MHz Skin Rejuvenation Vacuum RF Lifting Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2(Smith and Mason, 1997).China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe(Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter). One of the preliminary works was undertaken by Prasad (1969)China Supplier EEC and EPA Approved 1500cc Quadski, Khalesi, and Khosfarman (2014).Globalipl Body Face Slimming Fine Jaw Line 20MHz Device; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter, the role of other effective parameters has simply been overlooked.4seats 1500cc Kart. Furthermore,Fangpower 400cc 4seat Side by Dune Buggy UTV, 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-China Hot Selling 1500cc Amphibious Watercraft.Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W(SRA) and multiple regression (MRA) cost functions are presented.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array. 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 (Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 15'' Sub Bass to U Series Full Range Speaker' 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),Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Round Shape Epoxy Logo Retractable Pull  Badge  Reel).Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.

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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 (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620), maintenance (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W) 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.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826. Here,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid, separate capital and operating cost functions for variable-Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse.

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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W(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 All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801) 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,Column Speaker of Empty Alu. Cabinet . 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)Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components.

High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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.

Factory Supply Diclofenac Sodium Powder, 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,Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5.

Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, 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, andnChinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5. 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]).Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa(PCs). As can be seen in3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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.500W EEC Electric scootershows the main variables and the new generated PCs of the CSFM together, whileClinical Equipment Portable Ultrasound Bone Densitometer for Hospitaldemonstrates the correlation matrix of the new PCs. As can be seen,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.

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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 inPLA Pbat Corn Starch 100% Biodegradable and Compostable Apparel Package on En 13432 Stanard), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAnti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7) 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.Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6. 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.CAS 79 -14-1 70% Glycolic Acid Powderdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Srx715 High Quality Neodymium PRO Audio/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.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6. Moreover,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, 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 (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620), maintenance (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock), 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,Safe Shipping Sarms Powder ACP-105), and annual cost index of mineral processing equipment.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Hot Selling Face Lifting and Slimming Chin Machine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5.Minerals Engineering,vol. 81. pp. 103-108.         [Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Disperse Violet 63]

Lashgari, A.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, A.R. 2013.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5,Hot Sell Isopropyl Alcohol 99.9%,vol. 23. pp. 441-446.         [Crystal Figurine with Horse Image]

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Mular, A.L. 1982.Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, Montreal. 265 pp.         [Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, Montreal. 319 pp.         [Amino Acid L-Arginine 99% CAS 74- 79 -3]

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Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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.         [Cold Storage Room for Salmon]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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