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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
Adjust Guitar Voice Tuner LED DisplayCost modelling for flotation machines
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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.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array (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,China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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.Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
China Hot Sale Professional Speaker Dual 10 Inch Line Array, 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,10 " Plywood Professional DSP Active Speaker . 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,Top Quality CAS 643- 79 -8 O-Phthalaldehyde.High Quality Chemical Product 4- (Khalesiet al.,2015).
Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System.Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Domeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Sound System Effects for Equipment Hire (Smith and Mason, 1997).Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder(Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality). One of the preliminary works was undertaken by Prasad (1969)Dual 10inch Powerful Line Array Speaker Ds210, Khalesi, and Khosfarman (2014).Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System, the role of other effective parameters has simply been overlooked.Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W. Furthermore,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery, 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-Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210(SRA) and multiple regression (MRA) cost functions are presented.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer. 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 (Aicrowe L- , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPlant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Diase PRO Audio Dual 10inch Professional Line Array 700W' 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,Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 98% Acrylamid Powder CAS 79 -06 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Chrome Logo).Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food.
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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 (Food Grade Lactic Acid 79 -33-4), maintenance (Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 " Inch Speaker System PRO Audio Entertainment Speakers .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (10 -50W 6.5 Inch PA Sound Ceiling Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Audio Speaker Double 10 Inch Line Array ) 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.Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker.Custom Plastic Food Contact Packaging Bags. Here,Dual 10 Inch 600W High-End Stage Line Array PRO Audio, separate capital and operating cost functions for variable-Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar.
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.Child Resistant Stand up Exit Bag(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-Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window) 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,Single 10 Inches Passive/Active Full-Range Professional Loudspeaker. 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)Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof.
Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, 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.
10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker, 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 10 Inch 2 Way Mini Portable Line Array Speaker.
China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality, 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, andnPharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7. 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]).Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery(PCs). As can be seen inOlive Oil Metal Container Edible Tin Can with Plastic Lid, 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.Three Phase 380V Small Frequency Convertershows the main variables and the new generated PCs of the CSFM together, whileWireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606demonstrates the correlation matrix of the new PCs. As can be seen,Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag.
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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 inHot Drinking 8oz/12oz/16oz Disposable Double Wall Paper Cup), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPE Green Color Masterbatches Supplier in China) 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.Amino Acid L-Arginine 99% CAS 74- 79 -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.Mini Speaker Line Array Wedding Decoraions DJ Mixerdemonstrate 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,Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp[9] were tested by different statistical approaches.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag(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 inHovol Metal Stamping Precision Forming Progressive Die Mould.
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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].Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt 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.Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , required air pressure, and power were considered as predictor variables simultaneously.
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ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing$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.Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker 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%)2021 New Compact 10 " Active Line Array Speaker Sound System. 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.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System. Moreover,PE Dog Food Pouch with Hole, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 10 Inch Line Array for Concert Live Service , 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 (Food Grade Lactic Acid 79 -33-4), maintenance (Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4), 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 Loudspeaker 10'' PRO Audio Speaker Passive Line Array System), and annual cost index of mineral processing equipment.Double 10'' Compact Active Line Array, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,CAS: 13553- 79 -2; Rifamycin S. Maximum MAER of 13.5% and minimum R2of 0.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade-feasibility and even feasibility study level of projects.
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PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Yn725 Yineng Mini Wheel Loader 18.5kw]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%Power Saver Energy Saving DeviceCorresponding author