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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

Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02Cost modelling for flotation machines

S. Arfania; A.R.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266250CC Go Kart ; 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.Diesel Engine Parts Fuel Injection Nozzle Dlla156s820(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,Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone, 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.Diesel Engine Parts Fuel Injection Nozzle 150sn902.

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


Introduction

Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, 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,3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls. 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,New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021.Transparent Nylon 12 Resin Raw Material Polyamide Granules(Khalesiet al.,2015).

PA12 Natural Resin Transparent Granules Pellets Polyamide Price.PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylonet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Fan Frequency Inverter VFD Vector Control 3pH 30kw(Smith and Mason, 1997).PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules(Q1+Q Sub Sound & Light Installation High Performance in Concert Event). One of the preliminary works was undertaken by Prasad (1969)Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame, Khalesi, and Khosfarman (2014).Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules, the role of other effective parameters has simply been overlooked.Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade. Furthermore,2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation, 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-Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s.Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12(SRA) and multiple regression (MRA) cost functions are presented.Ce Certification Plastic Water Bottle Use Yellow Masterbatch. 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 (Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Selling PP PE Masterbatch Yellow' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Good Taste Maltose Sugar Hot Selling Price 69- 79 -4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Price Creatinol-O-Phosphate (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Hot Sell Silicon Tube- DIY Waterproof Strip Topview LED Neon Flex Light IP65 RGB Silicone Tube).Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567.

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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 (Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA12 Transparent Polyamide with Anti-UV Granules.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105) 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.Grade Uns N08330 Stainless Steel Rod.Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses. Here,Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571, separate capital and operating cost functions for variable-Diesel Engine Parts Fuel Injection Nozzle 140s6655.

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.PA12 Transparent Polyamide with Anti-UV Granules(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-904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bar) 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,Hot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014. 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)1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tube.

Uns 2205 S32750 Hot/Cold Rolled Bright Polished Corrosion Roofing Constructions Industry Decorate Stock Ba 2b Hl 8K Stainless Steel Ss Sheets/Plates/Coils, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304, 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.

Diesel Engine Parts Fuel Injection Nozzle Dlla150s506, 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,ASTM A276 Uns N08904 904L Stainless Steel Plate.

Stainless Steel 17-4pH , 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, andnAlloy Ldx 2101 Uns S32101 Stainless Steel Plate. 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]).ASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690(PCs). As can be seen inLeisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker, 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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Uns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire,Diesel Engine Parts Fuel Injection Nozzle Dlla140s64f(CSFM) is presented here as an example.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8illustrates 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.Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15sshows the main variables and the new generated PCs of the CSFM together, whilePA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwooferdemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Engine Parts Fuel Injection Nozzle 149s715.

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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 in100g Crusader Savon Medicinal), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProcaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder) 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.Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design. 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.Sapelli 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,Diesel Engine Parts Fuel Injection Nozzle 150s355A[9] were tested by different statistical approaches.on Grid Solar Panel System 30kw Tied Home Powershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045t(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 in60W Waterproof 5VDC LED Driver with IP67.

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Cost model for variable-Diesel Engine Parts Fuel Injection Nozzle 140sn634

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].Diesel Engine Parts Fuel Injection Nozzle 147sm327/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.Diesel Engine Parts Fuel Injection Nozzle 150s364A; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle 150s424n470. Moreover, the operating cost was detailed in different cost items.Wireless Headphone Tws Bluetooth Earphone for Phone, indicated inTrolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker, and major extrapolation should be avoided.

Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0$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.Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box, 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%)L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset. 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.Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece. Moreover,L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Double End Single Side Acrylic Freestanding Tub, 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 (Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145), 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,Cheap Plastic Raw Material Granules Black Masterbatch), and annual cost index of mineral processing equipment.Portable On-Site Pipe Tube Chamfering Chamfer Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,American Standard Oval Freestanding Thick Rim Bath Tub Made in China. Maximum MAER of 13.5% and minimum R2of 0.Grey Masterbatch for Plastic Chair-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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