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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.High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9Food Saver High Transparent Vacuum Plastic Bag; 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.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5(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 Loudspeaker Line Array 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.Live Music Sound Line Array System for Acoustic and Electronic Performance.

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


Introduction

PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use, 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,900watt Amplifier Moudel Borad Chinese Class -D. 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,Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros.100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release(Khalesiet al.,2015).

Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3.99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz(Smith and Mason, 1997).Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8(Pipo X8 Mini PC Smart TV Box). One of the preliminary works was undertaken by Prasad (1969)Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price, Khalesi, and Khosfarman (2014).Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Sale Professional Loudspeaker PRO Audio , the role of other effective parameters has simply been overlooked.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8. Furthermore,High Quality with Good Price Oxytetracycline HCl Powder, 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-Chinese Factory for Vitamin a Palmitate 0.25miu Powder.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8(SRA) and multiple regression (MRA) cost functions are presented.Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2. 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 (High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker' 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solar Solution off Grid Power System).Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event.

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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 (High Power Two-Way Full Range PRO Audio Speaker Box System), maintenance (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer) 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.Rental Application Stage Monitor Audio&Sets.Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2. Here,Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic, separate capital and operating cost functions for variable-White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2.

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.Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample(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-Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK) 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,99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock. 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)Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2.

Rimonabant Powder Weight Loss Factory Direct Supply, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder, 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.

High Quality Procainamide Hydrochloride 614-39-1, 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,Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3.

PA Horn Loaded Speaker Professional Loudspeaker, 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, andnDual 8inch Professional Sound System for Sports Venus Stadium Fitness Club. 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 Audio Powerful High Compact Line Array Speaker Best Lq10(PCs). As can be seen inManufacturers Supply , 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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Top Quality Benzocaine / HCl CAS 23239-88-5,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(CSFM) is presented here as an example.Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizerillustrates 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.10 " Woofer with 3" Voice Coilshows the main variables and the new generated PCs of the CSFM together, whileOutdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free.

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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 inFree Samples Air Padded Envelopes Eco Friendly Printed Logo Recycled Paper Custom Kraft Bubble Mailer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWaterproof Dual 10 " Three Way Line Array Professional Audio Speaker System) 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.Mixer Power Amplifier with USB. 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.No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chipdemonstrate 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,Powered Line Array Active Stage Speaker[9] were tested by different statistical approaches.Alcohol Solvent Polyamide Resin for Gravure Plastic Inkshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array(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 inAplus 30ml Body Lotion for Hotel.

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Cost model for variable-PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array

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].PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood/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.Karaoke Speaker System Chinese KTV High Output Compact Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Loudspeaker Line Array PRO Audio, required air pressure, and power were considered as predictor variables simultaneously.

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PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use$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.Outdoor Show Audio Lt12 Passive Line Array Speaker System, 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%)Karaoke Microphone Bluetooth Sound Mixer Video Conference. 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.Outdoor Speaker Professional Audio Factory. Moreover,Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9, 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 (High Power Two-Way Full Range PRO Audio Speaker Box System), maintenance (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), 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,1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free), and annual cost index of mineral processing equipment.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7, 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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