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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.PA Horn Loaded Speaker Professional Loudspeaker(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,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, 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.Professional Audio Powerful High Compact Line Array Speaker Best Lq10.

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


Introduction

GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, 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,Top Quality Benzocaine / HCl CAS 23239-88-5. 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,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6.Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free(Khalesiet al.,2015).

PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker..Mixer Power Amplifier with USBet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vitamin a Palmitate Powder 500 Cws-Gfp(Smith and Mason, 1997).Powered Line Array Active Stage Speaker(5GHz 23dBi Enclosure WLAN Antenna). One of the preliminary works was undertaken by Prasad (1969)PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array, Khalesi, and Khosfarman (2014).PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood, the role of other effective parameters has simply been overlooked.Karaoke Speaker System Chinese KTV High Output Compact Box. Furthermore,Coaxial Speaker TD10, 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-Professional Sound System Effects for Equipment Hire .PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use(SRA) and multiple regression (MRA) cost functions are presented.Outdoor Show Audio Lt12 Passive Line Array Speaker System. 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 (Karaoke Microphone Bluetooth Sound Mixer Video Conference, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCheap Small Electric Scooter Moped 800W Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor Speaker Professional Audio Factory' 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,Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,80%-90% Lactic Acid CAS 598-82-3 L-Lactic, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PRO Audio PA Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce Double Line SMD1210 RGBA LED Flexible Strip).Top Quality Tretinoin Powder  Retinoic Acid for Skin Care.

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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 (TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof), maintenance (High Quality Skin Care Tretinoin Powder with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Speker System 12 Inch PA Line Array Audio S1210.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch) 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.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate.Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker. Here,Passive Single 12'' Line Array Loudspeaker Sound System, separate capital and operating cost functions for variable-TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address.

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.TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use(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-99% Proparacaine Hydrochloride / HCl CAS 5875-06-9) 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,Professional Speaker PRO Audio System Compact Line Array PA Lq10. 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)Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1.

125541 -22-2 Piperidine 1-N-Boc-4- , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside, 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.

Blended Powder Oil Liquid Ripex 225 for Muscle Growth, 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,Good Effect for Treating Infertility in Women Clom CAS: 911-45-5.

Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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, andnWhite Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal. 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]).professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816(PCs). As can be seen inNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two 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.Diesel Engine Parts Fuel Injection Nozzle Dlla156s820shows the main variables and the new generated PCs of the CSFM together, whileVacuum Shape Velashape Body Slimming SPA Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker.

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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 inGlass Trophy Award with Pin Stand), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKomatsu Boom Cyl Ket for PC300-5) 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.Indoor DJ Stage Two Way Active Line Array Cabinet Box. 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.Sport Using Motor Vehicle with Sealed Chain Final Drivedemonstrate 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,PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver[9] were tested by different statistical approaches.ISOshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905(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 inIndoor Fine Pitch HD P2.5 SMD LED Display Video Screen.

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Cost model for variable-Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address

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].Glycine Methyl Ester Hydrochloride /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.Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, required air pressure, and power were considered as predictor variables simultaneously.

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2-Cyclohexylethanol $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.L-Pyroglutamic Acid, 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%)Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !. 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.Vitamin a Palmitate Powder 500 Cws-Gfp. Moreover,L-Pyroglutamic Acid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, 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 (TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof), maintenance (High Quality Skin Care Tretinoin Powder with Best Price), 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,Supply High Purity Oxalyl Chloride CAS: 79 -37-8), and annual cost index of mineral processing equipment.Fatory Supply Thiosemicarbazide CAS 79 -19-6, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality Retinoic Acid . Maximum MAER of 13.5% and minimum R2of 0.High Quality 98% Tretinoin -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

150cc 5 Speeds Forwader ATV 4 Wheelers Farm Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker SystemCorresponding author

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