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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

8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food PackagingCost modelling for flotation machines

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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.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel(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,Yangtze 100kw Grid Tied Portable Solar System Camping Component, 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.Yn725g Yineng Mini Wheel Loader.

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


Introduction

Roof Mounting Solar System 10kw off Grid Tied Power, 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,Screw Top Metal Tin Can. 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,a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House(Khalesiet al.,2015).

Yn725g 18.5kw Cabin Yineng Mini Wheel Loader.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturer of Rectangular Brake Oil Motor Engine Tin Can(Smith and Mason, 1997).Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin(Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo). One of the preliminary works was undertaken by Prasad (1969)5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can, Khalesi, and Khosfarman (2014).Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price, the role of other effective parameters has simply been overlooked.1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. Furthermore,Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install, 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-6000W Single Phase Inverter Grid Tied Home Solar System.Complete Set 15kw Grid Tied Solar Power System(SRA) and multiple regression (MRA) cost functions are presented.China Cheap Colour Optional Electric Motorcycle for Adults. 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 (Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10L Customized Tin Cans Paint Coating Used Metal Square Can(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin' 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,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 Fashion Electric Mtorcycle 2000W Motor China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mini Dumper Wolf Wl80 Loader with CE(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Freight From China to Spain).Engine Oil Cans 4 Liter Motor Lubricating Tin Can.

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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 (Yn725 Gyineng Mini Wheel Loader), maintenance (Solar Pump Frequency Inverter MPPT Fuction 0.75kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (AC to Drive 380V Frequency Inverter 4kw) 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.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals. Here,China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V, separate capital and operating cost functions for variable-Small Fquequency Inverter/Converter for Mini Motor.

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.1.5kw 1HP AC Frequency Inverter(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-500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock) 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,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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)Jarol Frequency Inverter with High Quality .

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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.

Residential Grid Tied 6kw Solar Power System for Home, 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,Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult.

Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, 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, andnon Grid Solar Panel System 30kw Tied Home Power. 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]).Tractor loader/ mini loader with four wheels for loading(PCs). As can be seen inSuspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels, 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.12" Professional Rcf Style Speaker Frameshows the main variables and the new generated PCs of the CSFM together, whileResealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bagsdemonstrates the correlation matrix of the new PCs. As can be seen,Three Phase Frequency Inverter Made in China Hot Sale.

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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 inFashion Ladies Knitted Long Vest), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHeat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container) 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.Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult. 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.Q1 Dual 10 " Line Array Systemdemonstrate 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,2 Wheel Electric Motorcycle with Lead Battery[9] were tested by different statistical approaches.Power Column Speaker PA Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solar Panel System 20kw Grid Tied Power for Home(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 inElectrical Door Panel Spreading Machine.

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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].Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects/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.2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yangtze 100kw Grid Tied Portable Solar System Camping Component, required air pressure, and power were considered as predictor variables simultaneously.

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Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy$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 0.20kw Grid Tied Solar System, 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%)Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller. 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.Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China. Moreover,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (220VDC to 220VAC Variable Frequency Inverter, 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 (Yn725 Gyineng Mini Wheel Loader), maintenance (Solar Pump Frequency Inverter MPPT Fuction 0.75kw), 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,Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine), and annual cost index of mineral processing equipment.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Maximum MAER of 13.5% and minimum R2of 0.380V 400Hz 3p AC Drive Hot 15kw Frequency Converter-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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