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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.High Quality Karaoke Loudspeaker with B&C Compression Driver(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% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0, 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.Factory Supply BMK Powder Glycidate CAS: 5413-05-8.

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


Introduction

China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone, 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,Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder. 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,99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8.High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price(Khalesiet al.,2015).

Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult(Smith and Mason, 1997).99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs(2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty). One of the preliminary works was undertaken by Prasad (1969)62442 Shiny and Non Phena Powder 62 44 2, Khalesi, and Khosfarman (2014).Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder, the role of other effective parameters has simply been overlooked.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5. Furthermore,Trolley Large Audio Loudspeaker Box Professional Stage Active PA 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-BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.Portable 15inch PA Speaker F15+(SRA) and multiple regression (MRA) cost functions are presented.Pharmaceutical Chemical CAS 236117-38-7. 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 (Speaker 12 Inch SA-212 Professional Sound Box Portable Passive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in150cc Automatic Racing Sports Exclusive Design ATV (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Speaker Tcx- 10' 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,Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Manufacture Control Back to Hook & Loop One Wrap Cable Strap).Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker.

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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 Powered Line Array Selfpowered Speakers Active System), maintenance (MBN1503 PA Woofer ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Light and Durable Mixing Console Mg124cx Audio Mixer) 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.Chassis/Dolphin/Powerful Speaker for Stadium.Line Array with Accessories for PRO Audio. Here,Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, separate capital and operating cost functions for variable-Kara Line Array Speakers Double 8 Inch Concert.

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.Top Quality Isopropyl Alcohol (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-Disco Sound+ PA System Speaker) 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,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery. 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)High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier.

High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (N- , 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.

Kara Double 8 Inch Liner Speaker System Professional Audio Equipment, 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,Raw Material Anti Epilepsy Topiramate Powder with Best Price.

Dual 12 Inch Powered Line Array Active Sound System W-210bp, 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, andnHigh Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl. 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]).Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5(PCs). As can be seen in65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk, 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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Kas DJ Speaker Dual Line Array 18 Inch Subwoofer,Mini Speaker Line Array Wedding Decoraions DJ Mixer(CSFM) is presented here as an example.Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cansillustrates 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.55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Informationshows the main variables and the new generated PCs of the CSFM together, whileGood Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adultdemonstrates the correlation matrix of the new PCs. As can be seen,8 Ohm PRO Audio DJ Mixer Live Sound System.

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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 inDrip Coffee Bag Packing Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W) 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 Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9. 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.Professional Audio Speaker Dual 10 Inch 3 Way Line Array Systemdemonstrate 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,Topiramate[9] were tested by different statistical approaches.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3(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 inLPV-250 250W waterproof single output switching power supply.

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Cost model for variable-Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3

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].Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5/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.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0, required air pressure, and power were considered as predictor variables simultaneously.

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China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5$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 0.2021 Hot-Sale Lt12 Dual 12" Concert Line Array System, 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%)Line Array of Parts for 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.Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array. Moreover,High Reliability DSP Active Professional Line Array Speaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio 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 (Professional Powered Line Array Selfpowered Speakers Active System), maintenance (MBN1503 PA Woofer ), 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 Line Array Speaker Neodymium Crossover System), and annual cost index of mineral processing equipment.Line Array System with Parts for PRO Audio Speaker , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System. Maximum MAER of 13.5% and minimum R2of 0.Power Amplifier Module Board + Made in China 400 Watt AMP-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant.Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, Montreal. 265 pp.         [Komatsu Bucket Cyl Ket for PC300-5]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box]

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N- , A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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