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.Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%(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,China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0, 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.Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch.

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

Introduction

Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System, 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,High Purity and Good Price Glycolic Acid . 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,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 99% L-Pyroglutamic Acid (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PRO Audio Powered Line Array Tw- 10 Outdoor Speaker' 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,Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China New Steer OTR Tyre 14.00-24 16.00-24).Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show.

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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 (Outdoor Speaker Dual 10 Inch Line Array), maintenance (49" VGA high performance monitor LCD video wall panel with extention cable) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1.8mm ultra narrow bezel 16: 9 LED TV video wall for home) 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.wall mount 16: 9 LCD screen video for big project.aluminium video wall LCD HD 1080P flat panel display. Here,LG LD550DUN-TKB1 video wall system with matrix switcher, separate capital and operating cost functions for variable-Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging.

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.Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food(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-Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy) 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,L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W. 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)Prfessional Audio 10''karaoke Loudspeaker.

10 Inch KTV System Woofer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, 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.

Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container, 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 Inch Compact Line Array PRO Audio.

10 Inch Indoor Outdoor Professional Loudspeaker, 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, andn99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9. 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]).Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet(PCs). As can be seen in12kw Grid Tied Solar 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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50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging,Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder(CSFM) is presented here as an example.5GHz 10dBi Outdoor WiFi Omni Antenna illustrates the high correlation between predictor variables for the CSFM.

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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.150cc 200cc Gas ATV Quad for Adultsshows the main variables and the new generated PCs of the CSFM together, whilealuminium video wall LCD HD 1080P flat panel displaydemonstrates the correlation matrix of the new PCs. As can be seen,RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives.

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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 inFree Sample 30ml Customized Gradient Colors Cylinder Glass Perfume Bottle with Atomizer), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Tretinoin with Good Price ) 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.O-Phthalaldehyde CAS 643- 79 -8. 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.Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GBdemonstrate 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,High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price[9] were tested by different statistical approaches.250ml 500ml 750ml 1L Fancy Small Cooking Oil Tinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub(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 inSolvent Red 24.

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Cost model for variable-Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers

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].1-Bromo-3/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.Low Price 4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1$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.Custom Printed Food Grade Ziplock Packing Bag, 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%)Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container. 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.Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container. Moreover,Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag, 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 (Outdoor Speaker Dual 10 Inch Line Array), maintenance (49" VGA high performance monitor LCD video wall panel with extention cable), 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 Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear), and annual cost index of mineral processing equipment.10 Active Full Range Stage Sound Loud Speaker System Audio, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10. Maximum MAER of 13.5% and minimum R²of 0.Outdoors Professional/PRO Audio Speaker -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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