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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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.Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710(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,Virgin PA12 Resin GF20 GF30 Pellets, 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.PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized.

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


Introduction

Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8, 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,Trimethyl Cis. 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,Fast Delivery High Purity Benzaldehyde 100-52-7.Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223(Khalesiet al.,2015).

Swimming SPA Pool Hot Tub Combo.Zhejiang Province Acrylic Standing Alone Bathtubset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(Smith and Mason, 1997).Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB(Camping Power / RV LiFePO4 Energy Storage). One of the preliminary works was undertaken by Prasad (1969)Perkins Genuine Cyl Head Assy , Khalesi, and Khosfarman (2014).Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712, the role of other effective parameters has simply been overlooked.Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly. Furthermore,Jwell  PP Corrugated Roof Sheet Extrusion Machine, 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-Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine.Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines(SRA) and multiple regression (MRA) cost functions are presented.Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect. 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 (Alcohol Benzene Polyamide Ink Resin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line' 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Powerful Cheap Mountain Bike Bicycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wall Mount Interior Light Fixtures LED COB Ceiling 50 Degree Downlight).Polyamide Resin Hot Melt Adhesive.

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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 (Polyamide Resin), maintenance (Co-Soluble Polyamide Resin with Top Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Alcohol Polyamide Resin for Printing Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Popular Alcohol Soluble Polyamide Resin for Gravure Ink) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Polyamide Resin with Benzene Soluble for Printing Inks) 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.Alcohol Soluble Polyamide Resin for Printing Ink.Supply Rosin Modified Polyamide Resin for Paint. Here,Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%, separate capital and operating cost functions for variable-High Quality Benzaldehyde with Fast Delivery.

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.Supply Alcohol Soluble Polyamide Resin for Ink(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-CAS No. 151103-09-2 4- ) 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,Sophisticated Price of Polyamide Resin for Whosale. 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)100% Purity Phenol Polyamide Resin.

High Polyamide Resin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Hot Sale Hy-688 Polyamide Resin, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,100% High Purity Polyamide Resin for Ink.

Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing, 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).

whereCeis the estimated cost,Cathe actual cost, andnPolyamide Resin. 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]).Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy(PCs). As can be seen inJwell PP/PC Sheet Extrusion Equipment, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairingshows the main variables and the new generated PCs of the CSFM together, whileAndroid Smart TV Set Top Box 7.1 Quad Coredemonstrates the correlation matrix of the new PCs. As can be seen,PE Waterproof Roll Extrusion Machine.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCrystal Octagonal Shape Home Decoration Chandelier Accessories), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from49" VGA high performance monitor LCD video wall panel with extention cable) 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.PE Geomembrane/Waterproof Sheet Extrusion Line. 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.Modern Simple Hotel Lobby Discussion Living Room Leisure Sofademonstrate 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,6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike[9] were tested by different statistical approaches.China Frequency Converter Variable Speed Driveshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bike Hidden Folding Mountain Ebike Suspension Bicycle(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 inSingle or Three Phase Solar Mini Home System.

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Cost model for variable-Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine

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].Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber/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.Hot Sale Am 20 "Mountain Bike with 21 Speeds; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Virgin PA12 Resin GF20 GF30 Pellets, required air pressure, and power were considered as predictor variables simultaneously.

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Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect$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.Iron Oxide Yellow for Pet Feeds, 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%)Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer. 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.Cosmetic Grade Ultramarine Violet Manufacturer. Moreover,Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dimer Acid Based Polyamide Resin for The Epoxy Material, 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 (Polyamide Resin), maintenance (Co-Soluble Polyamide Resin with Top Quality), 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,Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin), and annual cost index of mineral processing equipment.Weather Resistance Nylon Polyamide Resin, 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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