GENERAL PAPERS

Loading MachineCost modelling for flotation machines

S. Arfania; A.R.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium MagnetBoring Machine Tools Micro Head F1type CNC Heads Set; 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.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub(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,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging, 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.Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder.

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

Introduction

RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives, 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,Thiosemicarbazide CAS 79 -19-6. 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,O-Phthalaldehyde CAS 643- 79 -8.High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price(Khalesiet al.,2015).

PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillerset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Barrow Mini Dumper with Three Wheels(Smith and Mason, 1997).1-Bromo-3(Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap). One of the preliminary works was undertaken by Prasad (1969)Low Price 4, Khalesi, and Khosfarman (2014).High Purity CAS 64318- 79 -2 Gemeprost; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ziplock Dog Food Bag with Bottom Gusset, the role of other effective parameters has simply been overlooked.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1. Furthermore,Custom Printed Food Grade Ziplock Packing Bag, 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-Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container.Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container(SRA) and multiple regression (MRA) cost functions are presented.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie. 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 (Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear' 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,Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2

►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'' Two Way Line Array PRO Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Double 10 Inch Line Array PRO Audio (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Arrival Custom Nepean District Soccer Football Gold/Silver/Nickel Metal Gift Medal).Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD.

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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 (Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution), maintenance (Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Oxytetracycline Powder 100% CAS 79 -57-2) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS: 79 -44-7; Dimethylcarbamoyl Chloride;) 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.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch.200X5000mm Vacuum Sealer Bag Roll for Food Packaging. Here,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, separate capital and operating cost functions for variable-Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole.

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.Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags(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-Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron) 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,Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag. 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 Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.

Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2, 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.

D&B Q1 Style Dual 10 Inch Professional 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,Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10.

46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV, 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, andn10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.. 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]).PA 10 -25W 4 Inch Sound Ceiling Speaker(PCs). As can be seen inHigh Speed Bottles Shrink Wrapping Machine/Group Packing Machine, 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.Industry Saveing Box shows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Deliverydemonstrates the correlation matrix of the new PCs. As can be seen,High bright Samsung 46" 49" 55" LCD video wall screen monitor.

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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 inoff-The-Road Tire OTR China Manufacturer L3/E3 29.5-25), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGood Performance Polyurethane PU Resin for Gravure Printing Ink) 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 0.43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor 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.Carb Approved Birch Plywooddemonstrate 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,Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container[9] were tested by different statistical approaches.Cheap Commercial Plywood for Construction Decoration and Furniture Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show (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 in17% None Ferric Granular Water Treatment Paper Making Oil Filed Chemicals Aluminium Sulfate.

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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].Bloom Tech Chemical Reagent /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.BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Printed Food Packaging Doypack Aluminium Zipper 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.High Quality Argipressine CAS 113- 79 -1 with Best Price, 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%)1-Bromo-3. 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.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020. Moreover,Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (55 Inch Stand Alone Digital Free Standing LCD Advertising Display, 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 (Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution), maintenance (Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory), 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,Top Selling 1), and annual cost index of mineral processing equipment.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Dual 10 " Compact Speaker Line Array . Maximum MAER of 13.5% and minimum R²of 0.Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity-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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