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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
1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint UseCost modelling for flotation machines
S. Arfania; A.R.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa ; 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.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9(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,Safe Shipping with Good Price Tretinoin Powder, 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.Dpc Diphenyl Carbonate CAS 102-09-0.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4, 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,100% Water Soluble Vitamin a Palmitate Powder Retinyl. 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,China Supplier of CAS 702- 79 -4 1.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder(Khalesiet al.,2015).
High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight.CAS 79 -57-2 Oxytetracyclineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Urea Fertilizer/ Ammonium Sulfate with Steel Grade(Smith and Mason, 1997).Azd3759 CAS No. 1626387-81-2(Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10). One of the preliminary works was undertaken by Prasad (1969)Food Additives L-Arginine with Top Quality, Khalesi, and Khosfarman (2014).Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% Purity 1, the role of other effective parameters has simply been overlooked.PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac. Furthermore,High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales, 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-2-Aminoanthraquinone CAS No 117- 79 -3.High Quality Tretinoin 302- 79 -4 with Good Price(SRA) and multiple regression (MRA) cost functions are presented.3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1. 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 (Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTwo-Way Single 10 " Professional Waterproof Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Fidelity Professional Line Array 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,40wx2 10 " Portable PS Series Party 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,100% CAS 79 -57-2 Oxytetracycline Powder, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Arrival Mr Series Audio Mixer with DSP Mr-12fx(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Chrome Badge).Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality.
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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 (Powered Speaker System for Home Theater), maintenance (Cosmetic Grade L-Arginine with High Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Quality Skin Care Pure Tretinoin 302- 79 -4) 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.Factory Direct Sale Dimethyl Gonane 702- 79 -4.Phthalaldehyde CAS 643- 79 -8. Here,Chlorhexidine Diacetate CAS No 206986- 79 -0, separate capital and operating cost functions for variable-CAS 79 -14-1 Glycolic Acid 70%.
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.Compact Neodymium Line Array 12inch 400W Passive Speaker PA System(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-Professional 10 " Aluminum Speaker Basket) 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,New Arrival Mr Series Audio Mixer with DSP Mr-10fx. 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)Factory Price Powder Mannitol with High Quality.
Outdoor Line Array PA System Loudspeaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Karaoke Wireless Portable Wooden Bluetooth PA 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.
12" Line Array Loud Speaker Sound System Professional PA, 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,15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker.
Professional Line Array PA System S1210 Sound, 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, andnCosmetic Material 99% Purity Tretinoin Powder. 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]).High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !(PCs). As can be seen inoff Road 200cc Motorcycle for Hot Sale, 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.
Spts
High Power DJ Sound Equipment System Line Array PA Speaker,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array(CSFM) is presented here as an example.Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stockillustrates 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.90/90-21 China Super Cheap Motorcycle Tire/Tyreshows the main variables and the new generated PCs of the CSFM together, while12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Best Price Medicine Grade Lanosterol Powder.
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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 inLED Festoon Party Lights Christmas String for Indoor Outdoor Lighting Decoration Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine) 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.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. 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.Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4demonstrate 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,Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4[9] were tested by different statistical approaches.Factory-Engineer White Oak Veneer in 0.25mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cosmetic Grade L-Arginine with Best Price(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 inA Line Satin Bridal Dress Beading Waist Plus Size Wedding.
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Cost model for variable-Anti-Wrinkle and Aging Chemical Raw Materials
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].High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery/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.Waterproof Childproof Ziplock Valve Bag; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Safe Shipping with Good Price Tretinoin Powder, required air pressure, and power were considered as predictor variables simultaneously.
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Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price$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.L-Arginine Powder Amino Acid Pure Manufacturer, 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%)White Powder Vitamin a for Food and Feed Grade. 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.Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol. Moreover,Professional Line Array Speaker Neodymium Af15, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade, 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 (Powered Speaker System for Home Theater), maintenance (Cosmetic Grade L-Arginine with High Quality), 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,Q210 Passive PA Speaker System), and annual cost index of mineral processing equipment.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Professional 24 Channels Digital Audio Mixer Console. Maximum MAER of 13.5% and minimum R2of 0.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements-feasibility and even feasibility study level of projects.
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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