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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.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array SpeakerWaterproof Dual 10 " Three Way Line Array Professional Audio Speaker System; 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.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker(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 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, 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 Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.

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


Introduction

Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer, 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,Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box. 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,Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event.High Power Two-Way Full Range PRO Audio Speaker Box System(Khalesiet al.,2015).

Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dust Proof Steel Shackle Padlocks with Master Key(Smith and Mason, 1997).Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer(Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture). One of the preliminary works was undertaken by Prasad (1969)Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, Khalesi, and Khosfarman (2014).Rental Application Stage Monitor Audio&Sets; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2, the role of other effective parameters has simply been overlooked.Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic. Furthermore,White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2, 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-Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample.Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK(SRA) and multiple regression (MRA) cost functions are presented.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock. 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 (Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNo Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rimonabant Powder Weight Loss Factory Direct Supply' 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,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club

Standard 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 Powerful High Compact Line Array Speaker Best Lq10, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Silver with Gemstone Customizable Pattern High Quality Badge).Top Quality Benzocaine / HCl CAS 23239-88-5.

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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 (Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6), maintenance (Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mixer Power Amplifier with USB) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Powered Line Array Active Stage Speaker) 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.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array.PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array. Here,PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood, separate capital and operating cost functions for variable-Karaoke Speaker System Chinese KTV High Output Compact Box.

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.Coaxial Speaker TD10(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-Professional Sound System Effects for Equipment Hire ) 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 System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use. 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)Outdoor Show Audio Lt12 Passive Line Array Speaker System.

Karaoke Microphone Bluetooth Sound Mixer Video Conference, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Outdoor Speaker Professional Audio Factory, 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.

Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, 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,Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9.

1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, 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, andn2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7. 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]).Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory(PCs). As can be seen inFood Grade L Selenomethionine Powder/L-Selenomethionine, 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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PRO Audio PA Speaker ,Top Quality Tretinoin Powder  Retinoic Acid for Skin Care(CSFM) is presented here as an example.High Quality Karaoke Loudspeaker with B&C Compression Driverillustrates 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 Cooled Diesel Engine Used for Electric Power Generator Setshows the main variables and the new generated PCs of the CSFM together, while10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scannerdemonstrates the correlation matrix of the new PCs. As can be seen,TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof.

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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 inWell Sold Long Span Cheap Price Metal Roofing Sheet for Sale), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCosmetic Material 99% Purity Tretinoin Powder) 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.Professional Speker System 12 Inch PA Line Array Audio S1210. 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.43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise Systemdemonstrate 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,Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36[9] were tested by different statistical approaches.Textile Crane Centrifugal 380V Variable Frequency Drive VFDshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch(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 inFashion Hip Hop Silver or Brass Jewelry 14K Gold Plated Ruby Iced out Ring for Girls.

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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].Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker/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.Passive Single 12'' Line Array Loudspeaker Sound System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, 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.125541 -22-2 Piperidine 1-N-Boc-4- . Moreover,CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Blended Powder Oil Liquid Ripex 225 for Muscle Growth, 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 (Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6), maintenance (Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free), 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,Good Effect for Treating Infertility in Women Clom CAS: 911-45-5), and annual cost index of mineral processing equipment.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal. Maximum MAER of 13.5% and minimum R2of 0.professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Vitreous Hemorrhage Dual 10inch Powerful Line Array Speaker Ds210Corresponding author

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