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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.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly(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,Bloom Tech Chemical Reagent , 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.BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock.

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

Introduction

Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium, 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,Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4. 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,High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.High Quality Argipressine CAS 113- 79 -1 with Best Price(Khalesiet al.,2015).

1-Bromo-3.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Insecticide Deltamethrin 2.5% Ec(Smith and Mason, 1997).Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China(Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series). One of the preliminary works was undertaken by Prasad (1969)55 Inch Stand Alone Digital Free Standing LCD Advertising Display, Khalesi, and Khosfarman (2014).Top Selling 1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professoinal Line Array System Dual 10 Inch Professional Audio Speaker, the role of other effective parameters has simply been overlooked.Dual 10 " Compact Speaker Line Array . Furthermore,Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity, 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-Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4.Economic Mulifunctional Line Array System Speaker Dual 10 Inch(SRA) and multiple regression (MRA) cost functions are presented.Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10. 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 (Professional Loudspeaker 10'' Neodymium Magnet, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFree Clearance Surface Anesthesia of Eyes(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Kas PRO Top 10inch Line Array Audio Speaker' names:

►Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4: based on 36-foot,Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%,Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker,LG 46" 49" 55" DVI LED video panel for monitoring, 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,Retinoic Acid CAS No. 302- 79 -4

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12X4 Aerial Platform Solid Tire with Gray Color for Scissor Lift or Other Equipment).Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag.

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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 (2-Way Speaker PS10 for High Quality Stage Monitor), maintenance (Professional Line Array Speaker Single 10 Inch Full Range System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902) 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.Professional Line Array System Single 10 Inch Neodymium Vr10.Samsung LTI550HN16 1920X1080P monitor LCD video wall. Here,Maunfacturing Price Sealed Food Packaging Vacuum Bag, separate capital and operating cost functions for variable-Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar.

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.Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut(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-Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock) 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,10'' Ferrite Woofer Best Price 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)Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display.

Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vr36 Dual 10 Inch 3 Way Passive Compact Line Array, 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.

Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0, 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,Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen.

Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade, 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, andnPharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4. 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]).Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten(PCs). As can be seen inPain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, 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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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.0.28mm Red Oak Artificial Veneershows the main variables and the new generated PCs of the CSFM together, whileXL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives.

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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 inPE PVC Pipe Falling Weight Impact Testing Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBloom Tech API Ceftriaxone Sodium 104376- 79 -6) 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%. 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.Factory Supply BMK Powder Glycidate CAS: 5413-05-8demonstrate 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,Peptide Cosmetics CAS 155149- 79 -4 Capixyl[9] were tested by different statistical approaches.3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier(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 inPromotional Gift Stuffed Custom Plush Toy Dog.

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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].China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9/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.37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bloom Tech Chemical Reagent , required air pressure, and power were considered as predictor variables simultaneously.

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3X3 LCD wall panel surveillance digital display screen$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.AV input LCD wall panel 49inch surveillance monitors, 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%)LG panel 49" advertising rack . 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.55inch wall mount LCD panel surveillance LED video. Moreover,Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (55 Inch LCD Video Wall Display with Controller, 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 (2-Way Speaker PS10 for High Quality Stage Monitor), maintenance (Professional Line Array Speaker Single 10 Inch Full Range System), 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,10inch Speaker for Music Bar PRO Audio Sound System), and annual cost index of mineral processing equipment.10inch Professional Karaoke Speaker for Luxury Room, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel. Maximum MAER of 13.5% and minimum R²of 0.139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice-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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