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.Jwell  PP Corrugated Roof Sheet Extrusion Machine(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,Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine, 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.Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines.

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

Introduction

Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect, 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,Alcohol Benzene Polyamide Ink Resin. 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,High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line.Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect(Khalesiet al.,2015).

Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine.Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effectet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10(Smith and Mason, 1997).Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F(Android Smart TV Set Top Box 7.1 Quad Core). One of the preliminary works was undertaken by Prasad (1969)Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue, Khalesi, and Khosfarman (2014).Powerful Cheap Mountain Bike Bicycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor, the role of other effective parameters has simply been overlooked.Polyamide Resin Hot Melt Adhesive. Furthermore,Polyamide Resin, 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-Co-Soluble Polyamide Resin with Top Quality.Alcohol Polyamide Resin for Printing Ink(SRA) and multiple regression (MRA) cost functions are presented.Popular Alcohol Soluble Polyamide Resin for Gravure Ink. 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 (Polyamide Resin with Benzene Soluble for Printing Inks, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSteel Circle for PA Speaker Parts 16*3h (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Alcohol Soluble Polyamide Resin for Printing Ink' 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,CAS No. 151103-09-2 4-

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sophisticated Price of Polyamide Resin for Whosale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100% Purity Phenol Polyamide Resin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Honda Cg125 Motorcycle Head Engine Assy Cgl150 Culata Complete Parts).High Polyamide Resin.

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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 (Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine), maintenance (Hot Sale Hy-688 Polyamide Resin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,100% High Purity Polyamide Resin for Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Polyamide Resin) 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.Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy.Geomembrane Making Machine. Here,Spoke Wheel 26-Inch 21-Speed Top with Bicycle, separate capital and operating cost functions for variable-26 Inch Mountain Bike From China Bicycle.

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.PE Waterproof Roll Extrusion Machine(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-PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line) 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,PE Geomembrane/Waterproof Sheet Extrusion Line. 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)6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike.

Bike Hidden Folding Mountain Ebike Suspension Bicycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine, 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.

Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber, 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,Hot Sale Am 20 "Mountain Bike with 21 Speeds.

Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints, 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, andnAdult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902. 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]).Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect(PCs). As can be seen in49" VGA high performance monitor LCD video wall panel with extention cable, 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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Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer,Cosmetic Grade Ultramarine Violet Manufacturer(CSFM) is presented here as an example.Modern Simple Hotel Lobby Discussion Living Room Leisure Sofaillustrates 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.China Frequency Converter Variable Speed Driveshows the main variables and the new generated PCs of the CSFM together, whileSkin Renew Thermal RF & Fractional 2 in 1 Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock.

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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 in1/2" NPT Male Thread End Sanitary Sampling Cock Valve), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0) 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.Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin. 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.Media Player Android 6.0 2g+16g Internet Smart TV Boxdemonstrate 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,Weather Resistance Nylon Polyamide Resin[9] were tested by different statistical approaches.High Quality Motorcycle Parts Tyre shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Purity 2(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 inTopone Factory Hot Sale China 138mm Balck Mosquito Coil Anti Elies Mosquitos.

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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].SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings/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.Single Row Cylindrical Roller Bearing ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710$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.Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning, 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%)PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black. 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.Dust Collector Machine Wood. Moreover,CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Adhesion Polyurethane PU Resin for Printing Ink, 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 (Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine), maintenance (Hot Sale Hy-688 Polyamide Resin), 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,Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo), and annual cost index of mineral processing equipment.Top Selling Polyurethane Adhesive Resin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine. Maximum MAER of 13.5% and minimum R²of 0.PA Resin for Gravure Plastic and Paper Printing Ink-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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