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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

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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.Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters(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,Three Phase Frequency Inverter Made in China Hot Sale, 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 0.0.8ton mini wheel loader with small bucket for multifunctional use.

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


Introduction

Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult, 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,2 Wheel Electric Motorcycle with Lead Battery. 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,Solar Panel System 20kw Grid Tied Power for Home.5kw Solar-Diesel Generation Hybrid Grid- Tied Power System(Khalesiet al.,2015).

Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects.2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tiedet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Taste Maltose Sugar Hot Selling Price 69- 79 -4(Smith and Mason, 1997).Cheap Commercial Plywood for Construction Decoration and Furniture Use(Wolf Mini Wheel Loader Wl950 Farm). One of the preliminary works was undertaken by Prasad (1969)Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite, Khalesi, and Khosfarman (2014).Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20kw Grid Tied Solar System, the role of other effective parameters has simply been overlooked.Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller. Furthermore,Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China, 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-Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android.220VDC to 220VAC Variable Frequency Inverter(SRA) and multiple regression (MRA) cost functions are presented.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine. 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 (Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed(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 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,AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters

Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),large cabin and powerful engine Customized 0.8ton mini wheel loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Medicine Hospital Pharmaceutical Cold Room Storage).Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale.

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

The overhaul costs (800kg China Small Front High Quality Wheel Loader for Sale in Europe) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Melamine Glue WBP Commerical Plywood) 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.Decorative Pine Groove Plywood Veneer Fancy.E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated. Here,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork, separate capital and operating cost functions for variable-18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.

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

AC Drive, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle, 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.

Sell Well 800W 60V Electric Motorcycle for Daily Riding, 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,China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.

15kw Grid Tied Solar 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, andnRosen 8kw Grid Tied on Solar Panel System. 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]).0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(PCs). As can be seen inExcellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, 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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Grid Tied 11kw Solar Panel System Home Commercial Power Supply,5kw Grid Tied Solar Power System for Home Use(CSFM) is presented here as an example.Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookiesillustrates 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.Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warrantyshows the main variables and the new generated PCs of the CSFM together, whileTire Brands to Avoid 2.50- 17 Solid Tire.demonstrates the correlation matrix of the new PCs. As can be seen,12kw Grid Tied Solar System.

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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 inHot Selling Model Different Capacity High Quality Ce FDA MSDS RoHS GMP Hand Sanitizer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCe Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner ) 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 0.200cc/300cc Adults Racing Go Kart for Sale Ce Certificate. 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.Android Digital Signage Intelligent Hand Sanitizer Displaydemonstrate 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,Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible[9] were tested by different statistical approaches.Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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 inFashion Jewelry Santa Claus Jr Brooch Christmas Gift.

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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].China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible/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.Sporty Electric Scooter ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Three Phase Frequency Inverter Made in China Hot Sale, required air pressure, and power were considered as predictor variables simultaneously.

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Best Selling 4X4 Farm ATV$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.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao, 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%)Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery. 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.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels. Moreover,Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plywood Mdo / Hdo for Concrete Formwork Slab Form, 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 (Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine), maintenance (AL908 0.8ton Wheel Loader Machinery for Sale), 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/ Motorcycle/TM-Monya), and annual cost index of mineral processing equipment.Electric Scooter with Anti-Theft Motor Lock , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot-Sale Sporty Electric Motorcycle Mn5. Maximum MAER of 13.5% and minimum R2of 0.Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult-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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