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OTR Industrial Tyre Loaders Transporter Tire 12.5-20 13-20
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
PA Speaker Dual 18" Subwoofer SystemCost modelling for flotation machines
S. Arfania; A.R.O-Phthalaldehyde CAS 643- 79 -8Solvent Violet 9 ; 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.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8(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,Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1, 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.Dimethylthiotoluene Diamine.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Professional Digital Audio Line Array System Dual 10 Inch Active, 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 Inch Sound System Speaker Box China Line Array Audio Systems. 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,Sulfasalazine CAS No. 599- 79 -1.Double 10'' Compact Line Array(Khalesiet al.,2015).
Karaoke System 10 Inch Sound Speaker Cvr Professional Audio.2 X HDMIet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch(Smith and Mason, 1997).L10/83267-Professional Audio 10 Inch Coaxial Speaker(Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%). One of the preliminary works was undertaken by Prasad (1969)Single 10 " Waterproof Polyurea Active Line Array Speaker Systems, Khalesi, and Khosfarman (2014).Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Two-Way Single 10 " Professional Waterproof Speaker, the role of other effective parameters has simply been overlooked.Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply. Furthermore,Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine, 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-Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers(SRA) and multiple regression (MRA) cost functions are presented.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag. 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 (Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPower Saver Energy Saving Device(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers' 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,Dual 10inch 3 Way Professional Stage 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,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Latex Overhead Animal Mask Head Masks).Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags.
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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 (Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity), maintenance (Suking Hot Selling Chemical Product ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7) 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.Food Packaging Bag.B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker. Here,PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System, separate capital and operating cost functions for variable-Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags.
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.Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery(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-All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4) 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,Line Array Speaker PRO Audio System 10'' Neodymium 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)Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36.
Professional Line Array System Dual 10 Inch 3 Way Passive, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PS10 Professional Sound System 10inch Audio Speaker Box, 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.
Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone, 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,Dare 10inch Passive Line Array Sound System.
Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag, 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, andnCheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags. 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]).PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker(PCs). As can be seen in18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty, 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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High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3,Manufacturer Supply 1(CSFM) is presented here as an example.China Supplier 1illustrates 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.Free Sample 5GHz Antenna Rubber Gainshows the main variables and the new generated PCs of the CSFM together, whilePortable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steeldemonstrates the correlation matrix of the new PCs. As can be seen,Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People.
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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 inPlain Pattern Sofa Fabric Made of Polyester Yarn), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw) 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
99% Glycolic Acid Powder CAS 79 -14-1
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 0.5f-Pcn CAS No. 1445579- 79 -2 in Stock. 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.Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Containerdemonstrate 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,Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde[9] were tested by different statistical approaches.Karaoke Wireless Portable Bluetooth PA Trolley Speaker Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate (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 inFactory Sell Emoji Pub Carnival Cheap Award Custom Cartoon Hero Superhelden Christmas Medal with Customized Logo.
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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].Line Array 10'' Neodymiun PRO Audio Woofer/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.Diesel Engine Parts Fuel Injection Nozzle 160sn529; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1, required air pressure, and power were considered as predictor variables simultaneously.
CAS: 702- 79 -4; 1. Moreover, the operating cost was detailed in different cost items.Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, indicated in0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, and major extrapolation should be avoided.
Professional Audio Speaker Dual 10 Inch 3 Way Line Array System$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.Loudspeaker 10'' Midrange & Bass, 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 Speaker System Single 10 Inch 300W Mini Line Array Vr10. 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.Dual 10 " Hot Sales Q1 Line Array Speaker. Moreover,Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, 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 (Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity), maintenance (Suking Hot Selling Chemical Product ), 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,China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask), and annual cost index of mineral processing equipment.Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container. Maximum MAER of 13.5% and minimum R2of 0.Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof-feasibility and even feasibility study level of projects.
References
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Mular, A.L. 1982.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System..100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container, Montreal. 265 pp. [Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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