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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.Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9(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,Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7, 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.Food Packaging Bag.

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

Introduction

B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, 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,PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System. 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,Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags.Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20MHz Thermal RF Wrinkle Removal Beauty Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Manufacturer Supply 1' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Line Array 10'' Neodymiun PRO Audio Woofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (ASTM A283 Grade D ASME SA 283 SA283 Gr. GR Tube Sheets Deflectors Suppprt Plates Pipe Sheet SA-283/SA-283M GR. Gr-D -D).Diesel Engine Parts Fuel Injection Nozzle 160sn529.

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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 (CAS: 702- 79 -4; 1), maintenance (Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Audio Speaker Dual 10 Inch 3 Way Line Array System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Loudspeaker 10'' Midrange & Bass) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10) 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.Dual 10 " Hot Sales Q1 Line Array Speaker.Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container. Here,Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, separate capital and operating cost functions for variable-China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask.

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.Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up(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-100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container) 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,Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof. 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)Professional Stage Line Array System Dual 10'' Speaker.

Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag, 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.

PRO Audio Speaker Dual 10 " Line Array, 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,10 " PRO Audio Line Array Speaker System.

PRO Audio 10'' Ferrite Woofer Speaker, 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, andnMulti-Function 10 " Passive Full Range DJ Stage Speaker System. 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]).Custom Printing Food Packaging Plastic Bags with Resealable Zipper(PCs). As can be seen in2.4GHz Wireless Ceiling Speaker PA System, 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.Sofa PVC Leather 2021shows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Small Metal Tin Can with Open Top Lid for Lubricantdemonstrates the correlation matrix of the new PCs. As can be seen,8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container.

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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 inDried Squid Shredded Seafood), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine ) 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.Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk. 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.150cc Gy6 Engine Gasoline Scooterdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant/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.Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7, 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.Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7. Moreover,Supply High Quality L-Lactic Acid with CAS 79 -33-4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lanosterol 79 -63-0 , 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 (CAS: 702- 79 -4; 1), maintenance (Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine), 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,Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9), and annual cost index of mineral processing equipment.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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