GENERAL PAPERS

Mining Cement Stainless Steel 316L Protective Pressure SensorCost 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.Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium(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,Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, 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.High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

High Quality Argipressine CAS 113- 79 -1 with Best Price, 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,1-Bromo-3. 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,Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China(Khalesiet al.,2015).

55 Inch Stand Alone Digital Free Standing LCD Advertising Display.Top Selling 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266(Smith and Mason, 1997).Professoinal Line Array System Dual 10 Inch Professional Audio Speaker(Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde). One of the preliminary works was undertaken by Prasad (1969)Dual 10 " Compact Speaker Line Array , Khalesi, and Khosfarman (2014).Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4, the role of other effective parameters has simply been overlooked.Economic Mulifunctional Line Array System Speaker Dual 10 Inch. Furthermore,Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, 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-Professional Loudspeaker 10'' Neodymium Magnet.Kas PRO Top 10inch Line Array Audio Speaker(SRA) and multiple regression (MRA) cost functions are presented.Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4. 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 (Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker' 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,Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2-Way Speaker PS10 for High Quality Stage Monitor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Line Array Speaker Single 10 Inch Full Range System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Giallo/Brown Color Flower Quartz Stone for Kitchen Countertop).Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic.

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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 (Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808), maintenance (96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Line Array System Single 10 Inch Neodymium Vr10.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Samsung LTI550HN16 1920X1080P monitor LCD video wall) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Maunfacturing Price Sealed Food Packaging Vacuum Bag) 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.Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar.Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut. Here,Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock, separate capital and operating cost functions for variable-10'' Ferrite Woofer Best Price Loudspeaker.

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.Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display(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-Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag) 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,Vr36 Dual 10 Inch 3 Way Passive Compact 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)Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0.

Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten.

Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5, 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).

whereC_eis the estimated cost,C_athe actual cost, andnHot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality. 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]).99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery(PCs). As can be seen inSolar Electric Motorcycle, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%(CSFM) is presented here as an example.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Priceillustrates 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.Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Femaleshows the main variables and the new generated PCs of the CSFM together, whileHot Cheap Electric Scooter 60V800W20ah for Adult From Chinademonstrates the correlation matrix of the new PCs. As can be seen,Peptide Cosmetics CAS 155149- 79 -4 Capixyl.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in4 Feet Core Veneer Production Line/Veneer Peeling Machine/Plywood Veneers Wood Machinery), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromT-Electric Pipe Bevelling 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 0.100% Copper Wire St-1kw Single Phase Dynamo Factory Price. 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.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loaderdemonstrate 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,China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9[9] were tested by different statistical approaches.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display(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 inNail Beauty Polish Empty White Bottle with Cap Brush 15ml.

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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].aluminium LCD wall panel surveillance flat display/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.3X3 LCD wall panel surveillance digital display screen; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.

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55inch wall mount LCD panel surveillance LED video$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.Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn, 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%)55 Inch LCD Video Wall Display with Controller. 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.10inch Speaker for Music Bar PRO Audio Sound System. Moreover,10inch Professional Karaoke Speaker for Luxury Room, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel, 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 (Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808), maintenance (96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902), 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,139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice), and annual cost index of mineral processing equipment.Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Sound System 10'' PRO Neodymium Line Array PA Audio System.. Maximum MAER of 13.5% and minimum R²of 0.10inch Loudspeaker PA Speaker PRO Audio-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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