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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

Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module Cost modelling for flotation machines

S. Arfania; A.R.Factory Supply BMK Powder Glycidate CAS: 5413-05-8High Security Door Peephole Eyes Viewer DV3828b ; 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.China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone(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,Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder, 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 0.99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8.

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


Introduction

High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price, 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,Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5. 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% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5.99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs(Khalesiet al.,2015).

62442 Shiny and Non Phena Powder 62 44 2.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory-Engineer White Oak Veneer in 0.25mm(Smith and Mason, 1997).Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder(Food Grade Metal Tin Can with Printing Logo for Cooking Oil). One of the preliminary works was undertaken by Prasad (1969)100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5, Khalesi, and Khosfarman (2014).Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, the role of other effective parameters has simply been overlooked.Portable 15inch PA Speaker F15+. Furthermore,Pharmaceutical Chemical CAS 236117-38-7, 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-Speaker 12 Inch SA-212 Professional Sound Box Portable Passive.Speaker Tcx- 10(SRA) and multiple regression (MRA) cost functions are presented.PA Woofer Speaker T- 10 12 15. 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 (Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSilo Top Pulse Jet Dust Collectors Collector Hopper for Cement(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10inch Professional PRO Audio Speaker 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,Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker

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 Powered Line Array Selfpowered Speakers Active System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),MBN1503 PA Woofer (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Economic Price Overnight Disposabl Sanitary Napkins).Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price.

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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 (Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array), maintenance (Light and Durable Mixing Console Mg124cx Audio Mixer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chassis/Dolphin/Powerful Speaker for Stadium.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array with Accessories for PRO Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery) 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.Kara Line Array Speakers Double 8 Inch Concert.Top Quality Isopropyl Alcohol . Here,Disco Sound+ PA System Speaker, separate capital and operating cost functions for variable-99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery.

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.High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier(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-High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride) 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,N- . 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)Kara Double 8 Inch Liner Speaker System Professional Audio Equipment.

Raw Material Anti Epilepsy Topiramate Powder with Best Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 12 Inch Powered Line Array Active Sound System W-210bp, 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.

High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl, 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,Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5.

Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, 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, andnKas DJ Speaker Dual Line Array 18 Inch Subwoofer. 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]).Mini Speaker Line Array Wedding Decoraions DJ Mixer(PCs). As can be seen inQsn Professional Audio Dual 10 "Power Speaker Xt10, 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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Professional Stage Line Array System Dual 15'' Self-Powered Speaker,High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9(CSFM) is presented here as an example.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceuticalillustrates 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.1.2mm White Poplar Veneer From Factory for Exportingshows the main variables and the new generated PCs of the CSFM together, while2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adultdemonstrates the correlation matrix of the new PCs. As can be seen,Topiramate.

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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 inAlgainp/ Ingan SMD Chip LED 1615 Tri-Color RGB Strip Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromL18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer) 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.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3. 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.Electric Motorcycles 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,Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5[9] were tested by different statistical approaches.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price(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 in80cm Length 8000W Electrical Extension Socket Outlet with USB Universal P4-80/U3.

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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].High Quality Nootropics Noopept CAS 157115-85-0 Best 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.China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder, required air pressure, and power were considered as predictor variables simultaneously.

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Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array$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 Reliability DSP Active Professional Line Array Speaker , 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%)Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker. 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 Line Array Speaker Neodymium Crossover System. Moreover,Line Array System with Parts for PRO Audio Speaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System, 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 (Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array), maintenance (Light and Durable Mixing Console Mg124cx Audio Mixer), 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,Power Amplifier Module Board + Made in China 400 Watt AMP), and annual cost index of mineral processing equipment.Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Tp01 Piezo Electric Dome Tweeter. Maximum MAER of 13.5% and minimum R2of 0.Line Array of Parts for PRO Audio Speaker -feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,Factory Supply BMK Powder Glycidate CAS: 5413-05-8, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2.Minerals Engineering,vol. 81. pp. 103-108.         [D&B Q1 Style Dual 10 Inch Professional Speaker ]

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Mular, A.L. 1982.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, Montreal. 265 pp.         [Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Professional Loudspeaker Line Array PRO Audio.Live Music Sound Line Array System for Acoustic and Electronic Performance.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, Montreal. 319 pp.         [High Purity and Good Price Glycolic Acid ]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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