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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

VFD Air Compressor Asynchronous Variable Frequency DriveCost modelling for flotation machines

S. Arfania; A.R.Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap TransformerDual 10 " Compact Speaker Line Array ; 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.Factory Supply Dimethyl 2(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,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery, 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.Overseas Warehouse Fast Delivery Organic Chemicals .

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


Introduction

China Ethyl 2-Bromovalerate Liquid CAS 615-83-8, 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,Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks. 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,Factory Supply Ethyl Valerate CAS 539-82-2.Organic Chemicals Pharmaceutical Intermediate (Khalesiet al.,2015).

Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3.4'' Installation Professional Waterproof Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner(Smith and Mason, 1997).Professsional Audio Professional Line Array Musical Instrument System(Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm). One of the preliminary works was undertaken by Prasad (1969)Vera12 Single 12" The Most Economical Line Array Sound System, Khalesi, and Khosfarman (2014).180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio, the role of other effective parameters has simply been overlooked.Alu. Speaker Mount Wall Bracket . Furthermore,Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, 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-High Quality 8'' Coaxial Audio Speaker for Long Throw Distance.Wall Mount Speaker Bracket (SRA) and multiple regression (MRA) cost functions are presented.Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801. 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 Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t' 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,Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730

Standard 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 Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plus Size Wedding Dress).Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5.

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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 (Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5), maintenance (Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Speaker PS10.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (30W PA Active Computer 5.1 System Inexpensive Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Steel Speaker Cabinet Top Hat with M20 Thread Inside ) 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.Big Subwoofer Line Array Speaker .Ts218 Dual 18" Speakers Subwoofer Speaker Box. Here,Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s, separate capital and operating cost functions for variable-Two-Way Full Range 1000W Professional Power Speaker.

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.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical(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-Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6) 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,China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149. 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)Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse.

CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6, 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.

Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, 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,High Qualty Line Array Loudspeaker.

DSP Active Line Array Speaker, 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, andnNeodymium 12inch 932lap Professional Powered DSP Line Array Speaker. 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]).8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20(PCs). As can be seen inQuad Core Media Player Mxq PRO S905W Android Best Kodiiptv Set Top Box TV with SIM Card Slot, 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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New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820,Recording Studio Equipment Vera Series Super Power Speaker Box(CSFM) is presented here as an example.No Foldable 40-60km Range Per Charge EEC Electric Scooterillustrates 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.Alcohol Solvent Polyamide Resin for Paper Gravure Printing Inkshows the main variables and the new generated PCs of the CSFM together, while55inch wall mount LCD panel surveillance LED videodemonstrates the correlation matrix of the new PCs. As can be seen,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620.

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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 2835 LED Strip Light with CRI 90 22lm), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromV20 Dual 10 Inch Three-Way Audio Small Line Array Speaker) 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 0.1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820. 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.Perkins Genuine Cyl Head Assy demonstrate 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,Line Array Horn of Professional Audio 170L*160W*140h 1" [9] were tested by different statistical approaches.Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Single 18'' Low Frequency Sub-Bass(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 inKm14530md--30kg. Cm Metal Gears Digital Servo for 1/5 Scale Car.

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Cost model for variable-Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA

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].Outdoor PRO Audio 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.Doule 8'' Mini Line Arry Loudspeaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery, required air pressure, and power were considered as predictor variables simultaneously.

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Single 15 Inch High Quality Bass$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.Professional Audio Speaker Column Sound Equipment, 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%)Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820. 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.Srx715 Sing 15" Professional Speaker. Moreover,Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Small Column White Color Church Conference Room Speaker, 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 (Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5), maintenance (Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer), 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,Arc Shaped Column Speaker for Restaurant and Shopping Mall), and annual cost index of mineral processing equipment.Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier. Maximum MAER of 13.5% and minimum R2of 0.Theater Professional Line Array Speaker-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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