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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
10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active SpeakerCost modelling for flotation machines
S. Arfania; A.R.Amino Acid L-Arginine 99% CAS 74- 79 -3Mini Wireless Stereo Tws 5.0 Music Earphone L18; 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.Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp(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,Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag, 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.Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker., 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,Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze. 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,Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch.Custom Liquid Stand up Pouch Spout for Food Packaging(Khalesiet al.,2015).
ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing.Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9(Smith and Mason, 1997).2021 New Compact 10 " Active Line Array Speaker Sound System(Frequency Converterlow Industrial Power Inverter). One of the preliminary works was undertaken by Prasad (1969)Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System, Khalesi, and Khosfarman (2014).PE Dog Food Pouch with Hole; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 Inch Line Array for Concert Live Service , the role of other effective parameters has simply been overlooked.Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System. Furthermore,Double 10'' Compact Active Line Array, 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-CAS: 13553- 79 -2; Rifamycin S.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(SRA) and multiple regression (MRA) cost functions are presented.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price. 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 (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTop Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% Purity 1-Bromo-3' names:
►Pharmaceutical Intermediate 1: based on 36-foot,CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price,Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price,O-Phthalaldehyde CAS 643- 79 -8, and level control
►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,99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dimethylthiotoluene Diamine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eaa Sea Freight Used Containers From China to Callao Port Peru LCL Shipment Service Free Shipping).Professional Digital Audio Line Array System Dual 10 Inch Active.
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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 (10 Inch Sound System Speaker Box China Line Array Audio Systems), maintenance (Sulfasalazine CAS No. 599- 79 -1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Double 10'' Compact Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Karaoke System 10 Inch Sound Speaker Cvr Professional Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2 X HDMI) 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.L10/83267-Professional Audio 10 Inch Coaxial Speaker.Single 10 " Waterproof Polyurea Active Line Array Speaker Systems. Here,Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag, separate capital and operating cost functions for variable-Two-Way Single 10 " Professional Waterproof Speaker.
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.Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply(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-Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine) 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,Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance. 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)Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers.
Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker, 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.
Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers, 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,Cheap Stage Speaker Design for PA System 200W.
Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, 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, andnLine Arrays Speaker Dual 10 Inch Powered Sound system. 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]).8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging(PCs). As can be seen inYog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue, 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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Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price,Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1(CSFM) is presented here as an example.Creative Caline Cp-09 Tuner Power Pedal Guitarillustrates 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.Yn725 Yineng Mini Wheel Loader 18.5kwshows the main variables and the new generated PCs of the CSFM together, whileChina AC Drive Frequency Inverter Manufacturer Supplierdemonstrates the correlation matrix of the new PCs. As can be seen,Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags.
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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 inBest Selling Products Qt4-22b Block Making Machine in Africa), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPA Speaker Dual 18" Subwoofer System) 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.
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.Suking Hot Selling Chemical Product . 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.Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%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,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder[9] were tested by different statistical approaches.Power Saver Energy Saving Deviceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.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(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 inKobe Hammer Guide Ring K25 K35 K45.
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Cost model for variable-Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7
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].Food Packaging Bag/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.B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag, required air pressure, and power were considered as predictor variables simultaneously.
PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System. Moreover, the operating cost was detailed in different cost items.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags, indicated inArticulated Compact Small Mini Wheeled Dumper Loader, and major extrapolation should be avoided.
Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery$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.All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4, 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 Speaker PRO Audio System 10'' Neodymium Loudspeaker. 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 Speaker System Dual 10 Inch 3 Way Big Line Array Vr36. Moreover,Professional Line Array System Dual 10 Inch 3 Way Passive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PS10 Professional Sound System 10inch Audio Speaker Box, 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 (10 Inch Sound System Speaker Box China Line Array Audio Systems), maintenance (Sulfasalazine CAS No. 599- 79 -1), 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,Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone), and annual cost index of mineral processing equipment.Dare 10inch Passive Line Array Sound System, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag. Maximum MAER of 13.5% and minimum R2of 0.Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags-feasibility and even feasibility study level of projects.
References
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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