GENERAL PAPERS

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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.Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives(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,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline, 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%.

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

Introduction

Peptide Cosmetics CAS 155149- 79 -4 Capixyl, 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,China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier. 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,100% Copper Wire St-1kw Single Phase Dynamo Factory Price.China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9(Khalesiet al.,2015).

37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display.49" 450nits LG panel advertising LCD screen et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel(Smith and Mason, 1997).aluminium LCD wall panel surveillance flat display(High Quality Benzaldehyde with Fast Delivery). One of the preliminary works was undertaken by Prasad (1969)3X3 LCD wall panel surveillance digital display screen, Khalesi, and Khosfarman (2014).AV input LCD wall panel 49inch surveillance monitors; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,LG panel 49" advertising rack , the role of other effective parameters has simply been overlooked.55inch wall mount LCD panel surveillance LED video. Furthermore,Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn, 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-55 Inch LCD Video Wall Display with Controller.10inch Speaker for Music Bar PRO Audio Sound System(SRA) and multiple regression (MRA) cost functions are presented.10inch Professional Karaoke Speaker for Luxury Room. 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 (Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPortable in-Ear Invisible Headphones with Charging Case(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice' 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,10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer 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,Single 10 Inch Active Speaker PS10r2 PA System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Speaker Dual 10 Inch Neodymium Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High-Speed HDMI Cable Gold Plated Support Ethernet).Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging.

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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 (Food Grade Packaging Custom Print Laminated Stand up Bag), maintenance (Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Food Packaging Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Coffee /Candy/Weed /Hemp Plastic Container) 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.Water Proof Child Coffee /Candy/Weed Plastic Container.10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer. Here,Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts, separate capital and operating cost functions for variable-Donbn Dz- 10 Two Way Full Range Professional KTV 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 Speaker Double 10'' Neodymium Line Array(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-10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.) 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,4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9. 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)55" HD 1080P Commercial LED Screen Video Wall LCD Display.

A+ grade LCD wall panel surveillance high brightness screen, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", 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.

PA 10 -35W 5.25'' Sound Ceiling 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Samsung LTI550HN16 1920X1080P screen monitor LCD video wall.

46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player, 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, andnHigh Purity Amino Acid L-Arginine 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 Efficiency 10inch Transducers PS10 for Best PA Speaker(PCs). As can be seen inEngineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cut, 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.in Line Water Cooled Diesel Engine for Generator with Good Qualityshows the main variables and the new generated PCs of the CSFM together, while2-Phenylbenzimidazole|716- 79 -0 99% High Puritydemonstrates the correlation matrix of the new PCs. As can be seen,Professional 10 Inches Rcf Aluminum PA Speaker Frame.

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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 inStainless Steel Horizontal Chilling Vat for Milk), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power) 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 Audio 10'' Neodymiun Line Array Speaker System Falante. 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.Customized B/C/D/E Grade Wood/Natural Birch Veneerdemonstrate 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,Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker[9] were tested by different statistical approaches.Single 18'' High Power Speaker Subwoofershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 10inch Line Array System Box (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 inWholesale Custom Hoodies Sports Wear 100% Cotton.

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Cost model for variable-Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin

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].PA /CPP Rotort Pouch/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.China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline, required air pressure, and power were considered as predictor variables simultaneously.

Chin Top Supplier Supply L- . Moreover, the operating cost was detailed in different cost items.Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde, indicated inProfessional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, and major extrapolation should be avoided.

Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best 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.CAS 79 -14-1 70% Glycolic Acid Powder, 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%)Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7. 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 Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter. Moreover,Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4, 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 (Food Grade Packaging Custom Print Laminated Stand up Bag), maintenance (Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window), 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,Bloom Tech API Ceftriaxone Sodium 104376- 79 -6), and annual cost index of mineral processing equipment.St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Generator Automatic Controller Eim 258 -9754 Engine Interface Module. Maximum MAER of 13.5% and minimum R²of 0.99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0-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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