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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

Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply DemandCost modelling for flotation machines

S. Arfania; A.R.Hot Sale China Mini Wheel Loader Small Front Compact for with Sand SpreaderPlastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag; 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.1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz(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,220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, 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.Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8.

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


Introduction

Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware 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,Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV. 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 Power Supply China Variable Speed Drive Voltage Converter AC Motor.Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using(Khalesiet al.,2015).

Radlader Zl08 Mini Wheel Loader for Agriculture Work.Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine(Smith and Mason, 1997).Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control(Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker). One of the preliminary works was undertaken by Prasad (1969)Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6, Khalesi, and Khosfarman (2014).Brand New Loader Mini Garden Farm Zl08 Wheel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring, the role of other effective parameters has simply been overlooked.Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce. Furthermore,Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box, 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-Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China(SRA) and multiple regression (MRA) cost functions are presented.China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive. 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 (Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDisperse Dyestuff Violet 200% P-CF for Textile(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply' 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,AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Zl08 Mini Radlader with Hydraulic Transmission(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (17% None Ferric Granular Water Treatment Paper Making Oil Filed Chemicals Aluminium Sulfate).Yn725 G CE Approved Hot Sale Mini Wheel Loader.

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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 (Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader), maintenance (Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wolf Mini Loader Wl80 with Grass Cutter) 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.Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel. Here,2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration, separate capital and operating cost functions for variable-High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.

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.Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork(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-Face Veneer Nature Bamboo for Fancy Plywood) 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,White Birch Veneer in 0.28mm/Jacky. 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)Chinese Suppliers Okoume Wood Face Veneer for Malaysia.

Factory-Hardwood Veneer in 1300X2500mmx 0.60mm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 G Ce Approved Hot Sale Mini Wheel Loader, 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.

Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control, 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,China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader.

0.8ton Compact Loader Wheel in Europe, 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, andn4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter. 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]).11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power(PCs). As can be seen inNew Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle, 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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Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin,JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply(CSFM) is presented here as an example.Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3illustrates 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.Double Slipper Two Upper End Freestanding Soaking New Bath Tubshows the main variables and the new generated PCs of the CSFM together, whileArm Cyl Oil Seal Kits for Sumitomodemonstrates the correlation matrix of the new PCs. As can be seen,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin.

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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 in11oz Straight Porcelain Mug of Mkb095), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromParts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 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.China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders 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.0.15mm Rosewood Veneerdemonstrate 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,Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord[9] were tested by different statistical approaches.860MHz CATV One Way Amplifiersshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Ebony Engineered Wood Veneer for Hot 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 inCustom Made Japanese Style Creative Stoneware Coffee Mug.

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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].Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket/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.Gabon Okoume Veneer a B C D Grade From Factory to India; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, required air pressure, and power were considered as predictor variables simultaneously.

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Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android$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.China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale, 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%)Zl08 800kg Mini Tractors with Front End Dumper Loader. 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.China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale. Moreover,AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw, 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 (Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader), maintenance (Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade), 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,Construction Machine Mini Loader Zl08 with Factory Price Front End), and annual cost index of mineral processing equipment.Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hybrid 3kw Solar Grid Tied Roof Top System Home Power. Maximum MAER of 13.5% and minimum R2of 0.Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC-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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