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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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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.Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System(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,Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio, 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.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.

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


Introduction

China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, 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,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. 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,Safe Shipping Sarms Powder ACP-105.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price(Khalesiet al.,2015).

Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin .Shiny Fenacetin Crystal and Non Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Construction Equipment Mini Wheel Loader with Quick Hitch(Smith and Mason, 1997).Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1(250cc Three Wheel Cargo Motor Tricycle ). One of the preliminary works was undertaken by Prasad (1969)Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6, Khalesi, and Khosfarman (2014).BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, the role of other effective parameters has simply been overlooked.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1. Furthermore,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, 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 Sell Isopropyl Alcohol 99.9%.Speaker Wall Bracket White/Black (SRA) and multiple regression (MRA) cost functions are presented.High Security Door Peephole Eyes Viewer DV3828b . 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 (Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3' 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 Diethyl 2

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Free Samples Disposable Adult Diaper for Grown up).Factory Supply Dimethyl 2.

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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 (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery), maintenance (Overseas Warehouse Fast Delivery Organic Chemicals ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Ethyl 2-Bromovalerate Liquid CAS 615-83-8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply Ethyl Valerate CAS 539-82-2) 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.Organic Chemicals Pharmaceutical Intermediate .Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3. Here,4'' Installation Professional Waterproof Speaker, separate capital and operating cost functions for variable-Professsional Audio Professional Line Array Musical Instrument System.

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.Vera12 Single 12" The Most Economical Line Array Sound System(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-180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820) 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,4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio. 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)Alu. Speaker Mount Wall Bracket .

Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality 8'' Coaxial Audio Speaker for Long Throw Distance, 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.

Wall Mount Speaker Bracket , 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 Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801.

Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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, andnWaterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t. 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]).Wireless PA System for Classroom and Church(PCs). As can be seen inProfessional 10 " Aluminum Speaker Basket, 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.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTVshows the main variables and the new generated PCs of the CSFM together, while10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.demonstrates the correlation matrix of the new PCs. As can be seen,Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730.

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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 inBaby Diaper Design And Quility It's Up To You), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromIPTV Reseller Panel for Qhdtv Susbcription 1year Code Wholesale 1500+ Live & VOD Sports News Channels Arabic French Belgium African Andoird TV Box) 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.All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf. 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.New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/Hdemonstrate results for the machines modelled in this research.

Multiple regression results

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Cost model for variable-Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer

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].Speaker PS10/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.30W PA Active Computer 5.1 System Inexpensive Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio, required air pressure, and power were considered as predictor variables simultaneously.

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Ts218 Dual 18" Speakers Subwoofer Speaker Box$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.Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s, 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%)Two-Way Full Range 1000W Professional Power Speaker. 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.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical. Moreover,Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149, 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 (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery), maintenance (Overseas Warehouse Fast Delivery Organic Chemicals ), 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,Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse), and annual cost index of mineral processing equipment.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6. Maximum MAER of 13.5% and minimum R2of 0.Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820.Line Array Horn of Professional Audio 170L*160W*140h 1" .Single 18'' Low Frequency Sub-Bass, Montreal. 265 pp.         [China Factory Supply Good Quality Polyamide Resin PA]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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