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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.Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801(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 Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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.Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t.

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


Introduction

Wireless PA System for Classroom and Church, 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf. 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,Steel PRO Audio Speaker Back Plate .Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(Khalesiet al.,2015).

Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730.Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Converter(Smith and Mason, 1997).All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf(New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO). One of the preliminary works was undertaken by Prasad (1969)Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5, Khalesi, and Khosfarman (2014).Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, the role of other effective parameters has simply been overlooked.Speaker PS10. Furthermore,30W PA Active Computer 5.1 System Inexpensive Speaker, 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-Steel Speaker Cabinet Top Hat with M20 Thread Inside .Big Subwoofer Line Array Speaker (SRA) and multiple regression (MRA) cost functions are presented.Ts218 Dual 18" Speakers Subwoofer Speaker Box. 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 (Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSapele Veneer Plywood Sheet for Wood Furniture and Decoration(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Two-Way Full Range 1000W Professional Power 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,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Stuffed Animals Puppy Dog with Unicorn Clothes & Hat).High Qualty Line Array Loudspeaker.

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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 (DSP Active Line Array Speaker), maintenance (Neodymium 12inch 932lap Professional Powered DSP 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,8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820) 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.Recording Studio Equipment Vera Series Super Power Speaker Box.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620. Here,Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine, separate capital and operating cost functions for variable-1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820.

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.Line Array Horn of Professional Audio 170L*160W*140h 1" (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-Single 18'' Low Frequency Sub-Bass) 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,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA. 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 PRO Audio Loudspeaker.

Doule 8'' Mini Line Arry Loudspeaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp, 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.

Vera12 New Design 800watts 12" Audio System Line Array, 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,Single 15 Inch High Quality Bass.

Professional Audio Speaker Column Sound Equipment, 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, andnProfessional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820. 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]).Srx715 Sing 15" Professional Speaker(PCs). As can be seen inHot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle, 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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Small Column White Color Church Conference Room Speaker,Arc Shaped Column Speaker for Restaurant and Shopping Mall(CSFM) is presented here as an example.China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Driveillustrates 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.Powered Concert Theater High Performance PA System Power Sub Bassshows the main variables and the new generated PCs of the CSFM together, whilePerkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Enginesdemonstrates the correlation matrix of the new PCs. As can be seen,Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer.

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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 inHigh Quality Bright Color Self Grippiing Hook & Loop Strap with Plastic Buckle), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale 10kw 10000W off Grid Solar Power System Home Use) 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.Theater Professional Line Array Speaker. 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.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brushdemonstrate 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,15' Water-Proof Installation Long-Throw Speaker with 100V Transformer[9] were tested by different statistical approaches.30W Bird Rings Machine Laser Marker with Rotation Working Tableshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer(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 inLED Light Recessed Installation Glass Display Case with T8 Tube.

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Cost model for variable-Double 6inch Powered 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].Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price/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.Free Clearance Surface Anesthesia of Eyes; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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.Srx715 Single 15" Speaker Cabinet PRO Audio System. Moreover,Vera 12 Loudspeaker Line Array Speaker System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Loudspeaker Column Speaker Line Array with L7, 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 (DSP Active Line Array Speaker), maintenance (Neodymium 12inch 932lap Professional Powered DSP 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,Single 15" Plastic Powered Speaker), and annual cost index of mineral processing equipment.Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pharmaceutical Intermediate 1Professional Speaker PRO Audio System Compact Line Array PA Lq10Corresponding author

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