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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
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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

Factory Supply Dimethyl 2Cost modelling for flotation machines

S. Arfania; A.R.Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T4162235L Chemical Oil Tinplate Can with Metal Press Cover; 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.Swimming SPA Pool Hot Tub Combo(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,Zhejiang Province Acrylic Standing Alone Bathtubs, 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.Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB.

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


Introduction

Perkins Genuine Cyl Head Assy , 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,Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar. 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,Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712.Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly(Khalesiet al.,2015).

Jwell  PP Corrugated Roof Sheet Extrusion Machine.Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Price Powder Mannitol with High Quality(Smith and Mason, 1997).Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines(Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801). One of the preliminary works was undertaken by Prasad (1969)Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect, Khalesi, and Khosfarman (2014).Alcohol Benzene Polyamide Ink Resin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line, the role of other effective parameters has simply been overlooked.Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect. Furthermore,Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making 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-Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect.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(SRA) and multiple regression (MRA) cost functions are presented.Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue. 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 (Powerful Cheap Mountain Bike Bicycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMc4y Tyco Solar Connector(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor' 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,Popular Alcohol Soluble Polyamide Resin for Gravure Ink

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Polyamide Resin with Benzene Soluble for Printing Inks, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alcohol Soluble Polyamide Resin for Printing Ink(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Cute Cartoon Mini Figurine Keychains Toy for Children).Supply Rosin Modified Polyamide Resin for Paint.

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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 (Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%), maintenance (High Quality Benzaldehyde with Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Supply Alcohol Soluble Polyamide Resin for Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CAS No. 151103-09-2 4- ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sophisticated Price of Polyamide Resin for Whosale) 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.100% Purity Phenol Polyamide Resin.High Polyamide Resin. Here,Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine, separate capital and operating cost functions for variable-Hot Sale Hy-688 Polyamide Resin.

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.100% High Purity 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-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing) 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,Polyamide Resin. 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)Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy.

Geomembrane Making Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Spoke Wheel 26-Inch 21-Speed Top with Bicycle, 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.

26 Inch Mountain Bike From China Bicycle, 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,PE Waterproof Roll Extrusion Machine.

PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line, 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, andnPE Geomembrane/Waterproof Sheet Extrusion Line. 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]).6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike(PCs). As can be seen inNo Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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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Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine,Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber(CSFM) is presented here as an example.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatoryillustrates 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.2way Indoor Club Party Wedding Line Array 15inch Sound Systemshows the main variables and the new generated PCs of the CSFM together, whileManufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Gradedemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Am 20 "Mountain Bike with 21 Speeds.

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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 inSector Shape White Acrylic Freestanding Bathtub Jacuzzi), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter) 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.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902. 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.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoondemonstrate 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect[9] were tested by different statistical approaches.Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Iron Oxide Yellow for Pet Feeds(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 inWomen Fashion Knitted White Popper Front Cardigan Sweater.

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Cost model for variable-Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer

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].Cosmetic Grade Ultramarine Violet Manufacturer/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.Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zhejiang Province Acrylic Standing Alone Bathtubs, required air pressure, and power were considered as predictor variables simultaneously.

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Weather Resistance Nylon Polyamide Resin$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 Purity 2, 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%)Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam. 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.SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings. Moreover,Single Row Cylindrical Roller Bearing , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire, 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 (Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%), maintenance (High Quality Benzaldehyde with Fast Delivery), 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,OLED Intermediates 2-), and annual cost index of mineral processing equipment.Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning. Maximum MAER of 13.5% and minimum R2of 0.PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black-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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