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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

Nitrogen Fertilizer Ammonium Sulphate for AgricultureCost modelling for flotation machines

S. Arfania; A.R.Frequency Converter AC Drive 220V Inverter China Variable Speed ControllerDouble 10 Inch Line Array PRO Audio ; 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.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil(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,Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, 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.Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap.

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


Introduction

7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container, 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,5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container. 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,Yn725g Hot Sale Mini Wheel Loader.Articulated Loader Mini Compact Wheel with Shovel(Khalesiet al.,2015).

Good Quality Empty Metal Tin Paint Glue Cans.Everun 0.8ton Chinese Articulated Mini Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(Outdoor 750MHz One Way CATV Trunk Amplifier ). One of the preliminary works was undertaken by Prasad (1969)500ml Round Resealable Tin Can with Easy Open Screw Top Lid, Khalesi, and Khosfarman (2014).Compact wheel loader snow pusher landscaping; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle, the role of other effective parameters has simply been overlooked.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse. Furthermore,Frequency Drive Converter Solar Pump Inverter, 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-China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK(SRA) and multiple regression (MRA) cost functions are presented.Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter. 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 (China Single Phase Variable Frequency Inverter AC 220V, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBarrow Mini Dumper with Three Wheels(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China' 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,Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Price 7000W Home Solar Power Generator System Grid Tied(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Newest Popular Laptop Backpack Sleeve Case Notebook Handbags Bag).Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw.

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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 Approved Articulated 0.8 Ton Wheel Loader), maintenance (Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725g Yineng Mini Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Energy System 5kw Panel Home Grid Tied Power) 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.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader. Here,Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V, separate capital and operating cost functions for variable-Haolin Lithium Battery 60V/20ah.

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.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle(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-Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush) 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,Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult. 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)High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult.

Adult Electric Motorcycle with Lithium Battery China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery, 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.

Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle, 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,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults.

Solar Inverter Pump Inverters 5.5kw, 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, andn10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent. 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]).350ml Brake Fluid Glue Tin Bottle(PCs). As can be seen inL5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire, 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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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(CSFM) is presented here as an example.Heavy Duty Tricycle 250ccillustrates 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.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Packshows the main variables and the new generated PCs of the CSFM together, while80kw Grid Tied Solar System for Commercial or Industrial Usedemonstrates the correlation matrix of the new PCs. As can be seen,Solar Pump Inverter DC/ AC Supplier.

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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 inHoliday Light Decoration Christmas Laser Projector with Remote Control), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYtd-Dih25 IGBT Automatic Induction Heating Machine) 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.Frequnce Converter AC Drive 380V 11kw. 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.Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machinedemonstrate 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,Solar Inverter Pump 15kw[9] were tested by different statistical approaches.Rental Application Stage Monitor Audio&Setsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost(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 inStainless Steel Skinny Tumbler with Straw 20oz Slide Lid.

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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].High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box/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 Front End Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, required air pressure, and power were considered as predictor variables simultaneously.

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1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System$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.Yn725g 18.5kw Cabin Yineng Mini Wheel 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%)Yn725g Yineng Mini Wheel 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.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader. Moreover,3kw Solar Power System for Home Use on Grid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, 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 Approved Articulated 0.8 Ton Wheel Loader), maintenance (Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw), 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,Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader), and annual cost index of mineral processing equipment.PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw. Maximum MAER of 13.5% and minimum R2of 0.Yangtze Solar Power Grid Tied System Home 5kw 5K-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

1L Paint Tin Cans/Empty Food Grade Can with LidVimode Electric Scooter Adult Motorcycle for Adults 800W 650WCorresponding author

Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aVFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine