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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

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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.Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(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,800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle, 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.Zl08 Chargeuse Wheel Loader.

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


Introduction

Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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,500W EEC Electric scooter. 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,Electric Motorcycle .Solar Electric Motorcycle(Khalesiet al.,2015).

Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K.OEM 1500W EEC Electric Scooter et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Police Using of Motorcycle for Cruiser with Displacement 320cc(Smith and Mason, 1997).New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini(Bulk Fashion Smart Electric Scooter 60V800W20ah). One of the preliminary works was undertaken by Prasad (1969)0.25mm Natural Wood Face Veneer, Khalesi, and Khosfarman (2014).2L Empty Tin Container for Engine Oil Lubricant; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High-Performance Three Phase Frequency Converter 380V 50/60Hz, the role of other effective parameters has simply been overlooked.Electric Motorcycle . Furthermore,EEC Electric Scooter , 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-800w /1100w EEC Electric Scooter .Factory Produce Natural Face Veneer Size 1220X1830X0.25mm(SRA) and multiple regression (MRA) cost functions are presented.Electric Motorcycle/Scooter/Bike . 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 (800W EEC Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20MHz Skin Rejuvenation Vacuum RF Lifting Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;No Foldable 40-60km Range Per Charge EEC Electric Scooter' 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,Single/Three Phase 220V 380V Vector Control Frequency 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,Factory-Enginneered Veneer Ash in 0.30mm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Small Frequency Inverter 380V 50/60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotional Style Plain Blank Slim Fit Polo Shirt).China Single Phase Variable Frequency Inverter 1.5kw.

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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 (1.2mm White Poplar Veneer From Factory for Exporting), maintenance (Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Eucalyptus Core or Birch for Veneer with Grade AA.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Popular 800W Power Electric Scooter) 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.1250X2500mm Rotary Cut Okoume Veneer Cheap Prices.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader. Here,2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System, separate capital and operating cost functions for variable-Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08.

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.Wolf 0.8t 800kg Mini Loader with Euro 3 Engine(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-500- 800W 48V 20ah OEM manufacturers Electric Scooter) 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,800W Brushless Adult Electric Scooter. 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)2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle.

Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, 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.

1L Beer Can, 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,High Quality Electric Scooter Factory.

Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults, 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, andn1L Panit Can. 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]).1L and 5L Can for Antifreezing Liquid(PCs). As can be seen inSuper Duplex Stainless Steel Bar by Zeron100 , 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.Rosen 55kw Grid Tied on Solar System to Global Marketshows the main variables and the new generated PCs of the CSFM together, while1220*2440*18mm Birch Plywood with Carb P2 Standard Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados.

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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 inCouple Valentine Design Ceramic Mug with Imprint), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Speaker Box F12+) 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.Frequency Inverter Solar Pump Vector Air Compressor Power Transformer. 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.17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rimdemonstrate 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,Supply China Control Frequency Converter VFD Power Transformer Motor Drive[9] were tested by different statistical approaches.Vitamin a Palmitate CAS 79 -81-2shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator(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 inNatural Remove Dead Skin Glycerine Whitening Loofah Bar Soap.

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Cost model for variable-0.75kw-11kw Three Phase 380V Frequency Inverter VFD

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].2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System/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.2876 10kw Home Used Solar Power System on Grid Roof; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle, required air pressure, and power were considered as predictor variables simultaneously.

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Radiate Pine Face Veneer$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.Grade AA Veneer Furniture Building Material Plywood to Dubai, 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%)1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid. 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.Manufacturer of Enigine Oil Can. Moreover,Small Wheel Loader Wl80 800kg Loaders for Farm Work, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Tin Can for Camellia Oil , 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 (1.2mm White Poplar Veneer From Factory for Exporting), maintenance (Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw), 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,CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility), and annual cost index of mineral processing equipment.Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle. Maximum MAER of 13.5% and minimum R2of 0.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core-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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