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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801Cost modelling for flotation machines

S. Arfania; A.R.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in outActive 10 " Line Array with Calss-D Amplifier and Built-in DSP; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Best Price Diclofenac Sodium with High Quality(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,40wx2 10 " Portable PS Series Party Speaker, 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 0.100% CAS 79 -57-2 Oxytetracycline Powder.

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


New Arrival Mr Series Audio Mixer with DSP Mr-12fx, 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,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality. 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,Powered Speaker System for Home Theater.Cosmetic Grade L-Arginine with High Quality(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Outdoor Line Array PA System Loudspeaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Karaoke Wireless Portable Wooden Bluetooth PA 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,High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Spts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Power DJ Sound Equipment System Line Array PA Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CE&ISO Approved PE Jaw Crusher).2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array.

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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 (Best Price Medicine Grade Lanosterol Powder), maintenance (Outdoor Professional Audio Loudspeaker PA Stage Active Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cosmetic Grade L-Arginine with Best Price) 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.Anti-Wrinkle and Aging Chemical Raw Materials.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery. Here,Waterproof Childproof Ziplock Valve Bag, separate capital and operating cost functions for variable-Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2.

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.Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate(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-Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price) 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,L-Arginine Powder Amino Acid Pure Manufacturer. 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)White Powder Vitamin a for Food and Feed Grade.

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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.

Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade, 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,Q210 Passive PA Speaker System.

Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient, 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 24 Channels Digital Audio Mixer Console. 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]).100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements(PCs). As can be seen inCummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter, 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.Yn725g Yineng Mini Wheel Loadershows the main variables and the new generated PCs of the CSFM together, while850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltagedemonstrates the correlation matrix of the new PCs. As can be seen,Made in China PA Speaker System Three Way Loudspeakers.

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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 inSilk Perfume Perm Lotion), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0.75kw-11kw Three Phase 380V Frequency Inverter VFD) 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.Pyridinecas Number 110//86//1 Used as Chemical Reagent. 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.Diesel Fuel Injection Nozzle Dlla160pn141demonstrate results for the machines modelled in this research.

Multiple regression results

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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].Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7/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.


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10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth $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.Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box, 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%)Feiyang New Hot Selling Trolley Speaker Fg210-06. In the MRA cases, this property is owed to the SFM (3.05%).


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.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater. Moreover,PRO Audio PA System Digital Mixer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade L-Arginine with Best Price, 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 (Best Price Medicine Grade Lanosterol Powder), maintenance (Outdoor Professional Audio Loudspeaker PA Stage Active Line Array), 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,J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System), and annual cost index of mineral processing equipment.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [750ml Metal Tin Can Container for Chili Oil Canning]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Mini Small Hot Sale in Europe Wheel Loader for]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [OLED Intermediates 2-]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.10 Inch Powered Line Array Speaker Active, Montreal. vol.13. 166 pp.         [Custom Logo Colors 1.2ml/280mAh Cbd Oil Vape E Cigarette]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [High Quality Cornstarch Biodegradable Mailer Bags for E-Commercial Shipping Use]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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