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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

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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.Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid(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,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, 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.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw.

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


Introduction

AC Fan Frequency Inverter VFD Vector Control 3pH 18kw, 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,Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw. 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,AC Fan Frequency Inverter VFD 3pH 15kw.AC Fan Frequency Inverter 3pH 7.5kw(Khalesiet al.,2015).

Inverter Cabinet VFD Frequency.Inverter Cabinet VFD Frequency AC Drive 55kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10 " Woofer Speaker(Smith and Mason, 1997).Yn725g 18.5kw Cabin Yineng Mini Wheel Loader(3ton Hydraulic Hand Pallet Truck Trolley Special). One of the preliminary works was undertaken by Prasad (1969)Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, Khalesi, and Khosfarman (2014).Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yangtze 100kw Grid Tied Portable Solar System Camping Component, the role of other effective parameters has simply been overlooked.Yn725g Yineng Mini Wheel Loader. Furthermore,Roof Mounting Solar System 10kw off Grid Tied Power, 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-Screw Top Metal Tin Can.a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels(SRA) and multiple regression (MRA) cost functions are presented.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House. 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 (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTopstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader' 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,1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),6000W Single Phase Inverter Grid Tied Home Solar System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Special Moving Head Laser Beam Projector).Complete Set 15kw Grid Tied Solar Power System.

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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 Cheap Colour Optional Electric Motorcycle for Adults), maintenance (Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W) 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.World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple.Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult. Here,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult, separate capital and operating cost functions for variable-2021 Fashion Electric Mtorcycle 2000W Motor China.

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.Mini Dumper Wolf Wl80 Loader with CE(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-Engine Oil Cans 4 Liter Motor Lubricating Tin Can) 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,Yn725 Gyineng Mini Wheel Loader. 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)Solar Pump Frequency Inverter MPPT Fuction 0.75kw.

Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W, 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.

AC to Drive 380V Frequency Inverter 4kw, 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,Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon.

2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals, 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, andnChina Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V. 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]).Small Fquequency Inverter/Converter for Mini Motor(PCs). As can be seen inSolar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, 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.20watt Mopa Laser Marking Machine for Anodized Aluminum Blackshows the main variables and the new generated PCs of the CSFM together, while20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17demonstrates the correlation matrix of the new PCs. As can be seen,Jarol Frequency Inverter with High Quality .

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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 inDisinfection Disinfecting Hand Sanitizer 75% Alcohol Sterilization Gel Protection), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from200X5000mm Vacuum Sealer Bag Roll for Food Packaging) 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 Hot Sale Frequency Converter/Inverter 380V 50/60Hz. 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.Customized Bintangor Plywood Face Veneer of Commercialdemonstrate 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,Residential Grid Tied 6kw Solar Power System for Home[9] were tested by different statistical approaches.Q1--Dual10 Inch Line Array Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult(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 inKids Customized Cotton Filling Vinyl Dinosaur Plastic Toy with IC Sound.

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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].on Grid Solar Panel System 30kw Tied Home Power/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.Tractor loader/ mini loader with four wheels for loading; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, 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.Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult. Moreover,2 Wheel Electric Motorcycle with Lead Battery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Panel System 20kw Grid Tied Power for Home, 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 Cheap Colour Optional Electric Motorcycle for Adults), maintenance (Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock), 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,5kw Solar-Diesel Generation Hybrid Grid- Tied Power System), and annual cost index of mineral processing equipment.Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied. Maximum MAER of 13.5% and minimum R2of 0.Cheap Commercial Plywood for Construction Decoration and Furniture Use-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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