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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

PA Resin for Gravure Plastic and Paper Printing InkCost modelling for flotation machines

S. Arfania; A.R.Modern FurnitureCrovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline; 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.Foshan Factory Wholesale High Quality Living Room Leather Sofa(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,Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box, 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.Motor Electronic Power Frequency Converter 380V 2.2kw.

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


Introduction

Pipo X8 Mini PC Smart TV Box, 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,Twisan Honoured Production 800kg Small Front End Loader with High Quality. 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,Frequency Inverter 380V 50/60Hz.15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC(Khalesiet al.,2015).

AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw.Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/ACet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Single Phase Variable Frequency Inverter 1.5kw(Smith and Mason, 1997).Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller(4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter). One of the preliminary works was undertaken by Prasad (1969)50 to 60 Hz Frequency Converter, Khalesi, and Khosfarman (2014).AC Variable Vector Frequency Inverter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller, the role of other effective parameters has simply been overlooked.AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price. Furthermore,AC Drive Frequnce Converter 5.5kw Pump Use , 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-0.8 Ton Mini Wheel Loader with Lowest Price.VFD AC Drive(SRA) and multiple regression (MRA) cost functions are presented.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V. 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 (Water Pump Frequency Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inISO Certified 100% Natural L-Arginine Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Small Variable-Frequency Drive ' 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,Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8ton Zl08f Small Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Loading Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Clear Acrylic Bottle 40ml Small Flat Base Two Steps Shoulder Shiny Silver Collar Dropper).Mini Radlader with Ce for Germany and Sweden Market.

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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 (China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce), maintenance (Farm Equipment 800kg Small Loader Payloader for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (0.8t Multifunctional Hydraulic Wheel Loader for Farm) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Android TV Box X96 Air 4GB 32GB Media Player) 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.China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale.Construction Equipment Mini Wheel Loader with Quick Hitch. Here,Avant Zl08f Mini Wheel Loader for Sale, separate capital and operating cost functions for variable-Chinese Mini Radlader 800kg Wheel Loader with Pirce.

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.Frequency Converter 0.5 HP(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-125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump) 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,Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China. 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)AC Board China Vector Control 60Hz to 50Hz VFD Drive Price.

Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter, 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.

Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz, 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,3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules.

Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box, 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, andnAmlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player. 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]).Customized Supported Android 9.0 X96 Air Media Box(PCs). As can be seen inWholesale Folding Bed Space Saving Furniture Sofa Modern Recliner, 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.Most Popular Cheapest Price Guitar Capo for Acoustic Guitarshows the main variables and the new generated PCs of the CSFM together, whileSuking Hot Selling Chemical Product demonstrates the correlation matrix of the new PCs. As can be seen,Mini Small Hot Sale in Europe Wheel Loader for.

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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 inHongli Wood Workbench for Sale / Foldable Work Bench), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery) 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.Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks. 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.Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wiredemonstrate 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,AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply[9] were tested by different statistical approaches.Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale(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 inYzjinsd Quick Adjust System Thick Turret Punching Die.

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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].220V 3HP Frequency Converter/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.AC Frequency Converter2HP 1phase; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box, required air pressure, and power were considered as predictor variables simultaneously.

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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.7.5HP Frequency Converter Vector. Moreover,New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce, 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 (China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce), maintenance (Farm Equipment 800kg Small Loader Payloader for Sale), 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,Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader), and annual cost index of mineral processing equipment.G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor. Maximum MAER of 13.5% and minimum R2of 0.Vectron Frequency Inverter-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter BiometerYn725g Yineng Mini Wheel Loader 18.5kw No CabinCorresponding author

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