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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
China Manufacturer Latest European Modern Furniture Genuine Leather SofaCost modelling for flotation machines
S. Arfania; A.R.PRO Audio PA System Digital MixerMotorcycle Parts High Quality Cam ; 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.Food Grade L-Arginine with Best Price(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,J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System, 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 0.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Wild Bee Venom Extract Melittin 99% Powder for Skin Care, 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,Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1. 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,Retinoic Acid CAS 302- 79 -4 in Stock.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag(Khalesiet al.,2015).
ISO Certified 100% Natural L-Arginine Powder.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner(Smith and Mason, 1997).Chemical Reagent Bloom Tech 2(Anti-Wrinkle and Aging Chemical Raw Materials). One of the preliminary works was undertaken by Prasad (1969)High Quality Opa O-Phthalaldehyde with Best Price, Khalesi, and Khosfarman (2014).Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,KTV 10 Inch Speaker Box with Good Sound, the role of other effective parameters has simply been overlooked.10 Inch Powered Line Array Speaker Active. Furthermore,Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, 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-Dual 10 Inch Line Aray Powered Active Sound System.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics(SRA) and multiple regression (MRA) cost functions are presented.Manufacturer Supply 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 (Dual 10inch PA Audio Line Array Speaker Box System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 " 600W Line Array PA Professional 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,China Factory Price CAS 702- 79 -4 1
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CPP High Temperature Vacuum Retort Pouch, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High-quality baby diapers similar to privately branded disposable cloths).High Temperature 3 Side Seal Retort Pouch for Corn.
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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 (R-3-Amino-1-N-Boc-Piperidine), maintenance (ISO Certified 100% Natural L-Arginine Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mylar Barrier Exit Waterproof Cr Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Laminated Food Grade Roll Film) 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.D&B Style Dual 10 Inch Compact Line Array .Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable. Here,Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, separate capital and operating cost functions for variable-Family Usage Embossed Vacuum Bags for Food.
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.Matte Black Food Packaging Stand-up Pouch Aluminum Foil 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-Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper) 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,Dual 10 " Compact Speaker Line Array . 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)10 " Woofer with 3" Voice Coil.
Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10 Inch Line Array Speaker for Theater , 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.
Lf Driver 10 Inches 64mm Glass Fiber Coil Professional 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,Dual 10 Inch Line Array for Church .
15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box , 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, andn10'' Inch Ferrite Woofer. 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]).V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(PCs). As can be seen inSingle 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, 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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D&B Style Dual 10 " Compact Line Array ,New Tw Audio Vera36 Dual 10 " Line Array Speaker System(CSFM) is presented here as an example.Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithiumillustrates 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.Portable 15inch PA Speaker F15+shows the main variables and the new generated PCs of the CSFM together, whileDouble 12'' Line Array Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker.
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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 in1000L Stainless Steel Milk Chilling Tank), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFast Delivery High Purity Benzaldehyde 100-52-7) 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.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr. 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.Kas PRO Top 10inch Line Array Audio Speakerdemonstrate 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,Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag[9] were tested by different statistical approaches.30W PA Active Computer 5.1 System Inexpensive Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Vacuum Bag Nylon Material for Agricultural Products(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 inFast Delivery Hand Sanitizer Manufacturer 99.9% Antibacterial Wash Free Alcohol Purell.
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Cost model for variable-Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic
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].Bio-Degradable Brown Kraft 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.Child Resistant Waterproof Plastic Bag with Zipper; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System, required air pressure, and power were considered as predictor variables simultaneously.
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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.Alumimun Foil Film Bag. Moreover,99 Purity Peptides Oxytocin Injection Acetate 2mg, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, 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 (R-3-Amino-1-N-Boc-Piperidine), maintenance (ISO Certified 100% Natural L-Arginine Powder), 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,Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker ), and annual cost index of mineral processing equipment.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China. Maximum MAER of 13.5% and minimum R2of 0.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder-feasibility and even feasibility study level of projects.
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Mular, A.L. 1982.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.10 Inch Coaxial Speaker Professional Driver 250wrms Line Array.Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, Montreal. 265 pp. [Hot Sale Motorcycle with 150cc Gy6 Engine]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Manufacturer Supply 1.Dual 10inch Powerful Line Array Speaker Ds210 Professional.Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, Montreal. 319 pp. [Single Phase Mini AC DC Motor Speed Controller]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [Direct Injection Water Cooled Diesel Engine for Generator Set]
Noakes, M. and Lanz, T. 1993.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker.Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, Carlton, victoria. 412 pp. [Professional Public Address Mini Onwall Line Array Speaker ]
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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4.vol. 1.High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424. [Industrial Grade SHMP ]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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