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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.Construction Machine Mini Loader Zl08 with Factory Price Front End(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,Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player, 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.Hybrid 3kw Solar Grid Tied Roof Top System Home Power.

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


Introduction

Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC, 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,Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China. 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,Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control.Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Wood Woven and Strand Bamboo Veneer Sheets, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3phase VFD, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0.75kw 1HP AC Frequency Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Emblem Lx9).Round Gloss Tin Can Metal for Edible Olive Oil Canning.

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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 (Universal Vector Inverter), maintenance (Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High-Performance Variable Frequency Inverter 3-Phase 380V.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wl80 Mini Loader From Wolf) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wolf Mini Wheel Loader Wl950 Farm) 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.Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader.Tin Cans with Metal Cover for Paint or Chemical Packaging. Here,Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing, separate capital and operating cost functions for variable-5L Chemical Oil Tinplate Can with Metal Press Cover.

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.15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail(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-0.28mm Red Oak Artificial Veneer) 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,Olive Oil Metal Container Edible Tin Can with Plastic Lid. 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)5L Engine Motor Oil Can Screw Top Rectangular Metal Tin.

Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box, 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.

New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV, 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,Food Grade 280ml Empty Tin Can for Camellia Oil.

800W Fashion Power Motorcycle Cheap Electric, 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, andnRectangular Glue Tin Can Empty Clear Paint. 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]).Metal Tinplate Container Engine Oil Can with Screw Cap(PCs). As can be seen in0.8t Snow Plow Loader Zl08 Mini Wheel, 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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800W Electric Scooter/Motorcycle with LED Light,Citycoco Electric Motorcycle E6 Cheap OEM E Bike(CSFM) is presented here as an example.Azd3759 CAS No. 1626387-81-2illustrates 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.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystallineshows the main variables and the new generated PCs of the CSFM together, whileCheap Stage Speaker Design for PA System 200Wdemonstrates the correlation matrix of the new PCs. As can be seen,800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle.

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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 inStainless Steel/Aluminum/Iron/Copper/Metal Laser Cutting Machine Price), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1 Liter Cans for Curing Agent) 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.Retro Scooters. 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.Gy6 /Jog Motorcycle Regulator/Rectifier Partsdemonstrate 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,2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel[9] were tested by different statistical approaches.Best Price Medicine Grade Lanosterol Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0(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 inLeather Rope Bracelet with 925 Silver Charms.

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Cost model for variable-Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle

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].72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle/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.800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player, required air pressure, and power were considered as predictor variables simultaneously.

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Empty Round Tin Can Paint Package Container$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.Factory-Engineer White Oak Veneer in 0.25mm, 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%)Rectangular Brake Oil Container Motor Engine Tin Can. 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.Customized Multi Birch Veneer Plywood Manufacturer. Moreover,Edible Oil Can Manufacturer Square Food Grade Metal Tin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD, 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 (Universal Vector Inverter), maintenance (Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive), 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,Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction), and annual cost index of mineral processing equipment.CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil.866 5kw on Grid Solar System with Power Inverter for Home.2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System, Montreal. 319 pp.         [Single 10 Inches Passive/Active Full-Range Professional Loudspeaker]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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