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.Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good 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,Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, 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.Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags.

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

Introduction

Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity, 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,Suking Hot Selling Chemical Product . 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,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder.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(Khalesiet al.,2015).

Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7.Food Packaging Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port(Smith and Mason, 1997).B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker(X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box). One of the preliminary works was undertaken by Prasad (1969)PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System, Khalesi, and Khosfarman (2014).Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery, the role of other effective parameters has simply been overlooked.All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4. Furthermore,Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker, 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 Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36.Professional Line Array System Dual 10 Inch 3 Way Passive(SRA) and multiple regression (MRA) cost functions are presented.PS10 Professional Sound System 10inch Audio Speaker Box. 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 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Quality Valerophenone CAS 1009-14-9 Ukraine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dare 10inch Passive Line Array Sound System' 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,High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Manufacturer Supply 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Original High Quality Touch Screen MP3 Player).99% Glycolic Acid Powder CAS 79 -14-1.

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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 (5f-Pcn CAS No. 1445579- 79 -2 in Stock), maintenance (Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (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) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Line Array 10'' Neodymiun PRO Audio Woofer) 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.Diesel Engine Parts Fuel Injection Nozzle 160sn529.CAS: 702- 79 -4; 1. Here,Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, separate capital and operating cost functions for variable-Professional Audio Speaker Dual 10 Inch 3 Way Line Array System.

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.Loudspeaker 10'' Midrange & Bass(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-Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10) 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 " Hot Sales Q1 Line Array Speaker. 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)Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container.

Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask, 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.

Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, 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,100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container.

Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof, 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, andnProfessional Stage Line Array System Dual 10'' Speaker. 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 Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed(PCs). As can be seen inAutomaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels, 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.2.4GHz Wireless Ceiling Speaker PA Systemshows the main variables and the new generated PCs of the CSFM together, whileQuadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Colordemonstrates the correlation matrix of the new PCs. As can be seen,PRO Audio 10'' Ferrite Woofer 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)

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 inMen Military Travel Backpack Tactical Waterproof Outdoor Bag Large Hiking Camping), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Small Metal Tin Can with Open Top Lid for Lubricant) 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 Printing Food Packaging Plastic Bags with Resealable Zipper. 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.Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistardemonstrate 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,10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth[9] were tested by different statistical approaches.Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.(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 inOutdoor Full Color Nation Star P5/P6/P8/P10 LED Display for Advertising Screen Panel Sign.

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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].8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container/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.Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, required air pressure, and power were considered as predictor variables simultaneously.

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Custom Cat Food Bags$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.Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer, 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%)Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant. 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.Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin. Moreover,Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, 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 (5f-Pcn CAS No. 1445579- 79 -2 in Stock), maintenance (Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde), 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,China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price), and annual cost index of mineral processing equipment.High Quality 99% L-Pyroglutamic Acid , 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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