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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.Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-218mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood; 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.Tg01 1 Inch Silk Dome Tweeter(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,Professional Speaker Compective PRO 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.Double 12inch Active Coaxial 29kg Line Array Speaker System.

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


Introduction

Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, 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,Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant. 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,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2(Khalesiet al.,2015).

High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Premium quality and very competitive price for Permethrin 25% EC(Smith and Mason, 1997).Professional Loudspeaker Line Array PRO Audio(Professional Audio Powerful High Compact Line Array Speaker Best Lq10). One of the preliminary works was undertaken by Prasad (1969)Live Music Sound Line Array System for Acoustic and Electronic Performance, Khalesi, and Khosfarman (2014).PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,900watt Amplifier Moudel Borad Chinese Class -D, the role of other effective parameters has simply been overlooked.Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros. Furthermore,100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, 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-Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3.99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder(SRA) and multiple regression (MRA) cost functions are presented.Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8. 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 (Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Purity 99.0%Min. Ademetionine Disulfate Tosylate (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery' 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,Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Super Absorption Breathable Baby Diaper Soft Diapers).Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker.

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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 (Q1+Q Sub Sound & Light Installation High Performance in Concert Event), maintenance (Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer) 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.Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box. Here,Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event, separate capital and operating cost functions for variable-High Power Two-Way Full Range PRO Audio Speaker Box 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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer(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-30W Dante Wall Speaker with External 24V DC Power Supply Dp 430) 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,Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer. 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)Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.

Rental Application Stage Monitor Audio&Sets, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2, 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.

Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic, 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,White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2.

Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample, 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, andnTop Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK. 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]).99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock(PCs). As can be seen inFood Saver High Transparent Vacuum Plastic Bag, 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.Manufacture High Quality PLA Silk Color Masterbatchshows the main variables and the new generated PCs of the CSFM together, whileManufacturers Supply demonstrates the correlation matrix of the new PCs. As can be seen,High Quality Procainamide Hydrochloride 614-39-1.

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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 inETL CE FCC RoHS SAA C-tick Approved AC/DC Adapter 5V 3A 1.7mm X 4mm), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10 " Woofer with 3" Voice Coil) 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.PA Horn Loaded Speaker Professional Loudspeaker. 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.300cc New Classic Cheap Cargo Tricycle demonstrate 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,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club[9] were tested by different statistical approaches.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Powerful High Compact Line Array Speaker Best Lq10(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 inStainless Steel Ss 316/304 Food Grade in-Line Straight Sight Glass Welded End.

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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].Top Quality Benzocaine / HCl CAS 23239-88-5/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.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker Compective PRO Audio , required air pressure, and power were considered as predictor variables simultaneously.

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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.PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array. Moreover,PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Karaoke Speaker System Chinese KTV High Output Compact Box, 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 (Q1+Q Sub Sound & Light Installation High Performance in Concert Event), maintenance (Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker), 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,Coaxial Speaker TD10), and annual cost index of mineral processing equipment.Professional Sound System Effects for Equipment Hire , and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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