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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

Super Popular Endless Swimming Pool with Jacuzzi SPA for MarketCost modelling for flotation machines

S. Arfania; A.R.Best Quality Valerophenone CAS 1009-14-9 UkraineTopiramate; 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.Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5(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,Vrx932la Compact Line Array Speaker System, 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.Vrx932la Dual Voice Coil Line Array Speaker Box.

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


Introduction

Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112, 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,Aluminum Speaker Box for 3" Column . 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,Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS.Single 12" Plastic Waterproof Speaker(Khalesiet al.,2015).

800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio.Powered Concert Theater High Performance PA System Power Sub Basset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Supply Alcohol Soluble Polyamide Resin for Ink(Smith and Mason, 1997).2way Indoor Club Party Wedding Line Array 15inch Sound System(Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut). One of the preliminary works was undertaken by Prasad (1969)12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS, Khalesi, and Khosfarman (2014).Professional Active Powered Line Array Speaker Mini 5 Inch Audio; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Dual 15" Multi-Purpose Speaker, the role of other effective parameters has simply been overlooked.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca. Furthermore,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO, 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-Srx725 Dual 15" PRO Audio Speaker Box.3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36(SRA) and multiple regression (MRA) cost functions are presented.Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15. 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 (Double 12'' Line Array Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12' 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,Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4

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 Quality and Best Price for Isopropyl Alcohol 99.9%, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bp Grade Benzyl Benzoate 99% Min(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheap Price LED Backlight Smart TV 55 Inch 1920*1080P Full HD Super Slim Widescreen Television Support WiFi for Shopping).Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping.

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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 (White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic), maintenance (Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Purity Ethylamine HCl.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Steel Circle for PA Speaker Parts 16*3h ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA Speaker Cabinet Accessories ) 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.Professional Audio Loudspeaker PA Stage Active Line Array.PA Speaker Accessories and Parts . Here,PA System with Rigging Shackle Hardware Parts M25 , separate capital and operating cost functions for variable-New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci.

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 Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA(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-Power Column Speaker PA System) 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,Speaker Wall Mounting Bracket . 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)Single 18'' High Power Speaker Subwoofer.

Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl, 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.

Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9, 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,Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine.

The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, 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, andnSafe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock. 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]).67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(PCs). As can be seen inProfessional Speaker PRO Audio System Compact Line Array PA Lq10, 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.UV Birch Plywood with Poplar Core Carb E0 Glue From Factoryshows the main variables and the new generated PCs of the CSFM together, whileAicrowe L- demonstrates the correlation matrix of the new PCs. As can be seen,Active Compact Column PA Speaker Powered Loudspeaker Point Source.

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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 inNew Plastic Toy Gun with The Character of Ninja Cartoon), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer) 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.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control. 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.Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20demonstrate 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,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments[9] were tested by different statistical approaches.Bike Hidden Folding Mountain Ebike Suspension Bicycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PRO Audio with Tweeter Horn for 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 in3 Ton Lever Block & Manual Chain Hoist.

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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].Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder/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.GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vrx932la Compact Line Array Speaker System, required air pressure, and power were considered as predictor variables simultaneously.

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Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5$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.High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales, 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%)Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse. 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.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5. Moreover,Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, 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 (White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic), maintenance (Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2), 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,New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi), and annual cost index of mineral processing equipment.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118. Maximum MAER of 13.5% and minimum R2of 0.Home Theater PA PRO Audio Speaker-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Single 18" Subwoofer Speaker BoxZhejiang Province Acrylic Standing Alone BathtubsCorresponding author

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