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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

2-Way Speaker PS10 for High Quality Stage MonitorCost modelling for flotation machines

S. Arfania; A.R.Natural Wood Sapele Veneer Plywood for Furniture GradeAC Drive Frequnce Converter Frequence Inverter Manufacturer Supplier; 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.20mm Plywood or Timber(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,Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, 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.Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm.

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


Introduction

10'x6' Rotary Cut Okoume Veneer for Plywood, 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,Engineer Veneer Ebony. 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,800kg China Articulated Mini Small Compact Front End Wheel Loaders.Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality(Khalesiet al.,2015).

0.8t Snow Plow Loader Zl08 Mini Wheel.Construction Zl08f Mini Hydraulic Compact Front End Loader for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Wholesales Wheel Loader HR912 with Pallet Forks(Smith and Mason, 1997).Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower(Go Kart ). One of the preliminary works was undertaken by Prasad (1969)Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork, Khalesi, and Khosfarman (2014).Zl08f Construction Machine Farm Tractors Mini Compact Loaders; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back, the role of other effective parameters has simply been overlooked.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell. Furthermore,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 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-High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor.Sapele Veneer Plywood Sheet for Wood Furniture and Decoration(SRA) and multiple regression (MRA) cost functions are presented.2.8X1.9 Large Size Rotary Cut Okoume Face Veneer. 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 (Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Veneer Engineer Poplar Cross Grain 0.50mm' 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,1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Fashion Design Cooler Insulated Picnic Basket).Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader.

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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 (1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz), maintenance (220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV) 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.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor.Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using. Here,Radlader Zl08 Mini Wheel Loader for Agriculture Work, separate capital and operating cost functions for variable-Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale.

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.Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control(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-Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6) 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,Brand New Loader Mini Garden Farm Zl08 Wheel. 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)Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring.

Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box, 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.

Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6, 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,1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China.

China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, 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, andnVector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor. 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]).AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply(PCs). As can be seen in2-Cyclohexylethanol , 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.High bright Samsung 46" 49" 55" LCD video wall screen monitorshows the main variables and the new generated PCs of the CSFM together, whileEncryption Ts Satellite IRDdemonstrates the correlation matrix of the new PCs. As can be seen,3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.

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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 inFire Rated Fireproof 3CCT Switchable Dimmable Driver 8W 3000K 4000K IP65 Down Light for Indoor), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEverun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket) 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.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale. 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.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demanddemonstrate 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,New Zl08 Mini Radlader with Hydraulic Transmission[9] were tested by different statistical approaches.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 G CE Approved Hot Sale Mini Wheel Loader(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 inLow Price Small Outdoor Preschool Playground Toys/Plastic Toys.

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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].Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade/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.Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, required air pressure, and power were considered as predictor variables simultaneously.

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Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter$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.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, 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%)2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration. 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.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor. Moreover,Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Face Veneer Nature Bamboo for Fancy Plywood, 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 (1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz), maintenance (220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter), 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,White Birch Veneer in 0.28mm/Jacky), and annual cost index of mineral processing equipment.Chinese Suppliers Okoume Wood Face Veneer for Malaysia, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Factory-Hardwood Veneer in 1300X2500mmx 0.60mm. Maximum MAER of 13.5% and minimum R2of 0.Yn725 G Ce Approved Hot Sale Mini Wheel Loader-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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