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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

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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.Mini Speaker Line Array Wedding Decoraions DJ Mixer(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,8 Ohm PRO Audio DJ Mixer Live Sound 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.Professional Stage Line Array System Dual 15'' Self-Powered Speaker.

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


Introduction

High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9, 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,Topiramate. 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,99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Line Array System with Parts for PRO Audio Speaker , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKomatsu Bucket Cyl Ket for PC300-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System' 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,Line Array with Accessories for PRO Audio

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt4-22b Automatic Brick Making Machine in Cambodia).Tg01 1 Inch Silk Dome Tweeter.

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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 (Professional Speaker Compective PRO Audio ), maintenance (Double 12inch Active Coaxial 29kg Line Array Speaker System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5) 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.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9. Here,2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, separate capital and operating cost functions for variable-Professional Loudspeaker Line Array PRO Audio.

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.Live Music Sound Line Array System for Acoustic and Electronic Performance(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-PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use) 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,900watt Amplifier Moudel Borad Chinese Class -D. 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)Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros.

100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3, 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.

99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder, 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,Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8.

Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price, 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, andnLidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery. 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]).Hot Sale Professional Loudspeaker PRO Audio (PCs). As can be seen inFactory Price Powder Mannitol with High Quality, 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.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Boxshows the main variables and the new generated PCs of the CSFM together, whileCompact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformerdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8.

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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 inFreight Forwarder Shipping Agent Form China to Austria Air Cargo Logistics Service), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKomastu PC60-6 Arm Cyl Oil Seal Kit) 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.High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price. 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.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europedemonstrate 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,Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker[9] were tested by different statistical approaches.High Quality Tretinoin 302- 79 -4 with Good Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Q1+Q Sub Sound & Light Installation High Performance in Concert Event(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-Zone Thermal Shock Test Chamber/Maerial Temperature Extreme Change.

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Cost model for variable-Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker

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].Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker/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.Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,8 Ohm PRO Audio DJ Mixer Live Sound System, required air pressure, and power were considered as predictor variables simultaneously.

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Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box$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.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event, 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%)High Power Two-Way Full Range PRO Audio Speaker Box System. 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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer. Moreover,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer, 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 (Professional Speaker Compective PRO Audio ), maintenance (Double 12inch Active Coaxial 29kg Line Array Speaker System), 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), and annual cost index of mineral processing equipment.Rental Application Stage Monitor Audio&Sets, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3]

Lashgari, A.Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, A.R. 2013.Rimonabant Powder Weight Loss Factory Direct Supply,Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder,vol. 23. pp. 441-446.         [Protective Cover Dog Grooming Pet Bite Collar]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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