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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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S. Arfania; A.R.Hot Sale Professional Loudspeaker PRO Audio Edible Oil Can Manufacturer Square Food Grade Metal Tin; 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.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8(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,High Quality with Good Price Oxytetracycline HCl Powder, 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.Chinese Factory for Vitamin a Palmitate 0.25miu Powder.

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


Introduction

Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, 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 Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2. 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,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker(Khalesiet al.,2015).

Q1+Q Sub Sound & Light Installation High Performance in Concert Event.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush(Smith and Mason, 1997).Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker(Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9). One of the preliminary works was undertaken by Prasad (1969)Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, Khalesi, and Khosfarman (2014).Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer, the role of other effective parameters has simply been overlooked.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box. Furthermore,Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event, 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-High Power Two-Way Full Range PRO Audio Speaker Box System.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer(SRA) and multiple regression (MRA) cost functions are presented.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430. 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 (Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer' 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),99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Modern Minimalist Living Room Dining Hall Pendant Lamp).Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2.

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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 (Rimonabant Powder Weight Loss Factory Direct Supply), maintenance (Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Procainamide Hydrochloride 614-39-1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA Horn Loaded Speaker Professional Loudspeaker) 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.Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club.Professional Audio Powerful High Compact Line Array Speaker Best Lq10. Here,GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, separate capital and operating cost functions for variable-Top Quality Benzocaine / HCl CAS 23239-88-5.

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.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(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-Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free) 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,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.. 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)Mixer Power Amplifier with USB.

Powered Line Array Active Stage Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array, 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.

PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array, 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,PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood.

Karaoke Speaker System Chinese KTV High Output Compact Box, 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, andnCoaxial Speaker TD10. 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 Sound System Effects for Equipment Hire (PCs). As can be seen inBenzene Soluble Polyamide Resin for Flexo Printing Ink, 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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Outdoor Show Audio Lt12 Passive Line Array Speaker System,Karaoke Microphone Bluetooth Sound Mixer Video Conference(CSFM) is presented here as an example.Line Arrays Speaker Dual 10 Inch Powered Sound systemillustrates the high correlation between predictor variables for the CSFM.

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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.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Priceshows the main variables and the new generated PCs of the CSFM together, whilePP Corrugated Roofing Sheet Extrusion Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Outdoor Speaker Professional Audio Factory.

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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 inIPL RF ND YAG Laser 3 in 1/ E-Light RF Opt Shr Hair Tattoo Removal Multifunction Beauty Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0) 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 CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9. 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.Act CNG LPG Fuel System 2568cyl ECU Kitsdemonstrate 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,1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free[9] were tested by different statistical approaches.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electricshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7(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 inCustomize All Types of Spring Nut Special.

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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].80%-90% Lactic Acid CAS 598-82-3 L-Lactic/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.PRO Audio PA Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality with Good Price Oxytetracycline HCl Powder, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Skin Care Tretinoin Powder with Best Price$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 Speker System 12 Inch PA Line Array Audio S1210, 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%)Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36. 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.Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch. Moreover,Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker, 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 (Rimonabant Powder Weight Loss Factory Direct Supply), maintenance (Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder), 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,Passive Single 12'' Line Array Loudspeaker Sound System), and annual cost index of mineral processing equipment.TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use. Maximum MAER of 13.5% and minimum R2of 0.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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