GENERAL PAPERS

Scarlet/ Violet / Purple/ Golden/Green Pigment PasteCost modelling for flotation machines

S. Arfania; A.R.Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar ManufacturersLow Price 4; M.R. Khalesi

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.Cheap Stage Speaker Design for PA System 200W(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,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, 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.Line Arrays Speaker Dual 10 Inch Powered Sound system.

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

Introduction

8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging, 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,Dual 10inch 3 Way Professional Stage Line Array Speaker. 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,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price.Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Line Array Speaker PRO Audio System 10'' Neodymium 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,Dare 10inch Passive Line Array Sound System

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Factory Mini hydraulic pump excavator prices for sale).PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker.

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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 (Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag), maintenance (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Manufacturer Supply 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (99% Glycolic Acid Powder CAS 79 -14-1) 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.5f-Pcn CAS No. 1445579- 79 -2 in Stock.Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde. Here,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate , separate capital and operating cost functions for variable-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.

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.Line Array 10'' Neodymiun PRO Audio Woofer(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-Diesel Engine Parts Fuel Injection Nozzle 160sn529) 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,CAS: 702- 79 -4; 1. 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)Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine.

Professional Audio Speaker Dual 10 Inch 3 Way Line Array System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Loudspeaker 10'' Midrange & Bass, 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.

Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10, 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,Dual 10 " Hot Sales Q1 Line Array Speaker.

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whereC_eis the estimated cost,C_athe actual cost, andnCustomized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear. 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]).China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask(PCs). As can be seen inKaraoke Wireless Portable Bluetooth PA Trolley Speaker Box, 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.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pumpshows the main variables and the new generated PCs of the CSFM together, whileDpc Diphenyl Carbonate CAS 102-09-0demonstrates the correlation matrix of the new PCs. As can be seen,Professional Stage Line Array System Dual 10'' 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 in20tpd Small Combined Rice Mill Price with Polisher), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromL55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box) 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.Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag. 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.Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speakerdemonstrate 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,PRO Audio Speaker Dual 10 " Line Array[9] were tested by different statistical approaches.Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weedshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 " PRO Audio Line Array Speaker 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 inDog's Nest Factory Direct Selling Plush Round Popular Pet Cat's Dog Bed Cushion Supplies.

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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].Multi-Function 10 " Passive Full Range DJ Stage Speaker System/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.Custom Printing Food Packaging Plastic Bags with Resealable Zipper; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, required air pressure, and power were considered as predictor variables simultaneously.

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100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil$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 0.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container, 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%)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. 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.Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk. Moreover,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Custom Cat Food Bags, 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 (Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag), maintenance (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3), 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,Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer), and annual cost index of mineral processing equipment.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant, 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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