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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.Three Phase Frequency Inverter Made in China Hot Sale(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,0.8ton mini wheel loader with small bucket for multifunctional use, 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.Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult.

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


Introduction

2 Wheel Electric Motorcycle with Lead 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,Solar Panel System 20kw Grid Tied Power for Home. 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,5kw Solar-Diesel Generation Hybrid Grid- Tied Power System.Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Loudspeaker Line-Array Speaker Sound Audio System with Vr112(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;380V 400Hz 3p AC Drive Hot 15kw Frequency Converter' 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,7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,large cabin and powerful engine Customized 0.8ton 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),Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Carbide Wire Drawing Dies).Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine.

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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 (AL908 0.8ton Wheel Loader Machinery for Sale), maintenance (Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,800kg China Small Front High Quality Wheel Loader for Sale in Europe.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Melamine Glue WBP Commerical Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Decorative Pine Groove Plywood Veneer Fancy) 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.E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated.18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork. Here,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making, separate capital and operating cost functions for variable-Filmfaced Plywood with High Quality and Cheap Price.

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.9mm E1 Glue Bintangor Plywood Board(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-E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room) 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,E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W. 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)AC Drive.

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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.

China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System, 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,15kw Grid Tied Solar System.

Rosen 8kw Grid Tied on Solar Panel System, 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, andn0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. 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]).12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial(PCs). As can be seen inHigh Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, 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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5kw Grid Tied Solar Power System for Home Use,12kw Grid Tied Solar System(CSFM) is presented here as an example.Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2illustrates 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.Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Foodshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Chemical Product 4- demonstrates the correlation matrix of the new PCs. As can be seen,Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller.

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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 inChovyting Heavy Duty Jumbo Roll Ffs Industrial Bag Tube Film Side Embossing & Gusseting Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLiving Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa Chair) 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.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. 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.Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0demonstrate 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,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump[9] were tested by different statistical approaches.Disperse Dyestuff Violet Recp-Hf 100% for Textileshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Jarol Strong Overload Capacity AC Drive Frequency Inverter (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 inPVC Vinly Plastic Action Figure Indoor Playground Model Kids Toys.

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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].Sporty Electric Scooter /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.SMD3014/2835 AC/DC Underwater LED Swimming Pool Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.8ton mini wheel loader with small bucket for multifunctional use, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao$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.Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery, 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%)Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels. 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.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q. Moreover,Plywood Mdo / Hdo for Concrete Formwork Slab Form, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Scooter/ Motorcycle/TM-Monya, 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 (AL908 0.8ton Wheel Loader Machinery for Sale), maintenance (Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket), 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,Electric Scooter with Anti-Theft Motor Lock ), and annual cost index of mineral processing equipment.Hot-Sale Sporty Electric Motorcycle Mn5, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use.Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System.China Plywood for The Furniture/Construction, Montreal. 319 pp.         [Solvent Violet 11]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity..vol. 1.800ml Square Metal Containers, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Frequency Converter AC Drive 220V Inverter China Variable Speed ControllerYn725g Hot Sale Mini Wheel LoaderCorresponding author

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