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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.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult(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,High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, 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.Adult Electric Motorcycle with Lithium Battery China.

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


Introduction

Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery, 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,Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle. 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 with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults.Solar Inverter Pump Inverters 5.5kw(Khalesiet al.,2015).

10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent.350ml Brake Fluid Glue Tin Bottleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9(Smith and Mason, 1997).9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint(Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755). One of the preliminary works was undertaken by Prasad (1969)Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD, Khalesi, and Khosfarman (2014).6000W Inverter Grid Tied Home Solar Energy System Without Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Pump Inverter DC/ AC Supplier, the role of other effective parameters has simply been overlooked.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw. Furthermore,Frequnce Converter AC Drive 380V 11kw, 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-Solar Inverter Pump 15kw.China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost(SRA) and multiple regression (MRA) cost functions are presented.TUV Ce Europe Popular 6000W Grid Tied Home Solar System. 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 (High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEngine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725g Yineng Mini Front End 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,Yn725g Yineng Mini Wheel Loader

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini 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),3kw Solar Power System for Home Use on Grid(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Custom Dnd Transparent Dice 16mm Resin Set).Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.

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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 (Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader), maintenance (PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yangtze Solar Power Grid Tied System Home 5kw 5K) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily) 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.1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw. Here,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint, separate capital and operating cost functions for variable-Metal Tin with Steel Handle for Paint.

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.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps(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-Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid) 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,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale. 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)China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw.

AC Fan Frequency Inverter VFD Vector Control 3pH 18kw, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw, 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 Fan Frequency Inverter VFD 3pH 15kw, 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,AC Fan Frequency Inverter 3pH 7.5kw.

Inverter Cabinet VFD Frequency, 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, andnInverter Cabinet VFD Frequency AC Drive 55kw. 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]).Yn725g 18.5kw Cabin Yineng Mini Wheel Loader(PCs). As can be seen inAeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car, 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.Motor Tricycle Three Wheel Cargo Trike for Saleshows the main variables and the new generated PCs of the CSFM together, whileHot Sale Popular Model 60V 800W Electric Motorcycle for India Marketdemonstrates the correlation matrix of the new PCs. As can be seen,Yn725g Yineng Mini Wheel Loader.

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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 inCheap Enamel Metal Lapel Pin), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door) 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.Screw Top Metal Tin Can. 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.Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharfdemonstrate 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,a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels[9] were tested by different statistical approaches.32oz Metallic Glue Tin Can_1liter with Screw Cap and Brushshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House(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 inEco-Friendly Biodegradable Poly Mailers Shipping Envelopes Custom Logo Plastic Express Courier Packing Bags.

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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].Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader/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.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, 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.6000W Single Phase Inverter Grid Tied Home Solar System. Moreover,Complete Set 15kw Grid Tied Solar Power System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Cheap Colour Optional Electric Motorcycle for Adults, 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 (Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader), maintenance (PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service), 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,Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery. Maximum MAER of 13.5% and minimum R2of 0.Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755Yangtze 10kw Grid- Tied Solar SystemCorresponding author

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