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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

Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0Cost modelling for flotation machines

S. Arfania; A.R.Bl-Xgz Electric MotorcycleFactory-Enginneered Veneer Ash in 0.30mm; 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.Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android(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,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 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.Bl-Xgw Electric Motorcycle.

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


Introduction

Yineng Yn725 Mini Wheel Loader 18.5kw Cabin, 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 Mini Small Perkins Engine Wheel Loader. 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,21kw Grid- Tied Solar Power System with 25 Years Working Time.Home Solar System 2kw Panel(Khalesiet al.,2015).

Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lidet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Fat Boy Bean Bag Cover for Sports(Smith and Mason, 1997).Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use(Motor King Rear Double Axle Tricycle for Heavy Loader). One of the preliminary works was undertaken by Prasad (1969)Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use, Khalesi, and Khosfarman (2014).High Quality 5000W Grid Tied Solar Power Generation System Competitive Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, the role of other effective parameters has simply been overlooked.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H. Furthermore,Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike, 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-Yangtze 10kw Grid- Tied Solar System.Frequency Converter AC Drive 220V Inverter China Variable Speed Controller(SRA) and multiple regression (MRA) cost functions are presented.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil. 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 (Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAlumimun Foil Film Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap' 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,Good Quality Empty Metal Tin Paint Glue Cans

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Everun 0.8ton Chinese Articulated 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),Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Precision Customized Aluminum CNC Machining Turnining Milling Servive).500ml Round Resealable Tin Can with Easy Open Screw Top Lid.

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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 (Compact wheel loader snow pusher landscaping), maintenance (Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Drive Converter Solar Pump Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China E Bike Electric Bicycle 48V 20A Ebike Nakto 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.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK.Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter. Here,China Single Phase Variable Frequency Inverter AC 220V, separate capital and operating cost functions for variable-Adult Electric Motorcycle/Scooter 60V20ah 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.Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV(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-AC Drive Frequency Variable General Power Supply Solar Motor Pump) 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,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC. 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)500kw Solar Energy System Grid Tied 500kwatt Panel Station.

Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC, 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 Price 7000W Home Solar Power Generator System Grid Tied, 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,Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw.

Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader, 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 Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw. 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]).1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(PCs). As can be seen in18mm Carb Birch Okoumen Plywood, 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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Solar Energy System 5kw Panel Home Grid Tied Power,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design(CSFM) is presented here as an example.Maunfacturing Price Sealed Food Packaging Vacuum Bagillustrates 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.Frequency Converter 75HP Three Phasesshows the main variables and the new generated PCs of the CSFM together, whileGMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6demonstrates the correlation matrix of the new PCs. As can be seen,Yn725g 18.5kw No Cabin 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 inYour Sun Premium Quality Release Tape Baby Diaper Pants with Wet Indicator), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10kw Cheap Solar Panels Complete Grid Tied System) 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.Haolin Lithium Battery 60V/20ah. 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.4'' Installation Professional Waterproof Speakerdemonstrate results for the machines modelled in this research.

Multiple regression results

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Cost model for variable-Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult

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].High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult/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.Adult Electric Motorcycle with Lithium Battery China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 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.350ml Brake Fluid Glue Tin Bottle. Moreover,9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD, 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 (Compact wheel loader snow pusher landscaping), maintenance (Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle), 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,6000W Inverter Grid Tied Home Solar Energy System Without Battery), and annual cost index of mineral processing equipment.Solar Pump Inverter DC/ AC Supplier, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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