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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.Yn725g Hot Sale Mini Wheel 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,Articulated Loader Mini Compact Wheel with Shovel, 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.Good Quality Empty Metal Tin Paint Glue Cans.

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


Introduction

Everun 0.8ton Chinese Articulated Mini Wheel 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,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity. 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,500ml Round Resealable Tin Can with Easy Open Screw Top Lid.Compact wheel loader snow pusher landscaping(Khalesiet al.,2015).

Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouseet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh(Smith and Mason, 1997).Frequency Drive Converter Solar Pump Inverter(China Supplier 1). One of the preliminary works was undertaken by Prasad (1969)China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle, Khalesi, and Khosfarman (2014).60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter, the role of other effective parameters has simply been overlooked.China Single Phase Variable Frequency Inverter AC 220V. Furthermore,Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China, 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-Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV.AC Drive Frequency Variable General Power Supply Solar Motor Pump(SRA) and multiple regression (MRA) cost functions are presented.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC. 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 (500kw Solar Energy System Grid Tied 500kwatt Panel Station, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in4'' Installation Professional Waterproof Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle' 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,Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725g Yineng Mini Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Full Enclosed Fiber Laser Cutting Machine with High Speed).Solar Energy System 5kw Panel Home Grid Tied Power.

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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 (Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design), maintenance (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Haolin Lithium Battery 60V/20ah) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle) 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.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult. Here,High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, separate capital and operating cost functions for variable-Adult Electric Motorcycle with Lithium Battery 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.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery(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-Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle) 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,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults. 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 Inverter Pump Inverters 5.5kw.

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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.

9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint, 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,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD.

6000W Inverter Grid Tied Home Solar Energy System Without Battery, 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, andnSolar Pump Inverter DC/ AC Supplier. 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]).DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw(PCs). As can be seen inIron Oxide Yellow for Pet Feeds, 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.6-Cylinder Diesel Engine with Four-Strke for Silent Generator Setshows the main variables and the new generated PCs of the CSFM together, whileBenzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PPdemonstrates the correlation matrix of the new PCs. As can be seen,TUV Ce Europe Popular 6000W Grid Tied Home Solar System.

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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 inValentines Day Gifts Love Gift Wedding Holiday Adult Sex Toy Yiwu Agent), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMusic PA Speaker Double 12 Inch Full Range) 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.Yn725g Yineng Mini Front End Loader. 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.GAS Wind Pressure Transmitter with Data Displaydemonstrate 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,China Everun Er408 Small Loader Compact with Pallet Forks[9] were tested by different statistical approaches.Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcadshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725g 18.5 Kw/2(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 inYuyao 200ml 300ml Continuous Spraying Trigger Fine Mist Water Spray Bottle.

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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 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; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Articulated Loader Mini Compact Wheel with Shovel, required air pressure, and power were considered as predictor variables simultaneously.

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Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw$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.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader, 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%)PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service. 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 Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw. Moreover,Yangtze Solar Power Grid Tied System Home 5kw 5K, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, 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 (Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design), maintenance (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader), 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,1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System), and annual cost index of mineral processing equipment.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, and over- extrapolation could result in misguiding estimates.

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350ml Brake Fluid Glue Tin Bottle, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Dual 10 " 600W Line Array PA Professional Speaker ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kwPE Extra-Width Geomembrane/Waterproof Sheet Extrusion LineCorresponding author

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