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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.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible(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,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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.Jarol Strong Overload Capacity AC Drive Frequency Inverter .

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


Introduction

China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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,Sporty Electric Scooter . 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,SMD3014/2835 AC/DC Underwater LED Swimming Pool Light.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box(Khalesiet al.,2015).

Best Selling 4X4 Farm ATV.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyaoet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2004-10 for Volkswagen(Smith and Mason, 1997).Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery(Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine). One of the preliminary works was undertaken by Prasad (1969)Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels, Khalesi, and Khosfarman (2014).Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Plywood Mdo / Hdo for Concrete Formwork Slab Form, the role of other effective parameters has simply been overlooked.Electric Scooter/ Motorcycle/TM-Monya. Furthermore,Electric Scooter with Anti-Theft Motor Lock , 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-Hot-Sale Sporty Electric Motorcycle Mn5.Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult(SRA) and multiple regression (MRA) cost functions are presented.RGB/White 18W PAR56 LED Swimming Pool Light. 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 (PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche' 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,24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,The Thinnest Wall Pool Underwater Swimming Light 18 Volts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Rosen 7kw Grid Tied on Solar Panel System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Palmjoy Medical OEM Extra Small Mens Bariatric Incontinence Overnight Briefs).11kw Grid Tied Solar Energy System Industrial Power Supply.

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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 (Customized 18mm Carb Birch Okoumen Plywood), maintenance (China Plywood for The Furniture/Construction) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Grid Tied Wind Solar Power System) 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.Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP.Ash Solid Wood decoration Board. Here,980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity., separate capital and operating cost functions for variable-800ml Square Metal Containers.

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.800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest 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-Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid) 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,Hot Sale Metal Round Cans for Paint or Chemical Packaging. 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)Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket.

Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans, 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.

5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, 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 Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg.

Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, 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, andnTin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans. 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]).Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.(PCs). As can be seen in12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage, 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.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speakershows the main variables and the new generated PCs of the CSFM together, whileEougem Original Cheap Radlader 0.8ton with Standard Bucket Made in Chinademonstrates the correlation matrix of the new PCs. As can be seen,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 inReal Factory Supplies Perfume Online with Good Price), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1L Empty Round Tin Can with Plastic Lid Manufacturer) 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.Upgraded Full HD North America Internet ATSC TV Decoder. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla150p249demonstrate 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,High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip[9] were tested by different statistical approaches.Hospital Equipment Portable Ultrasound Bone Densitometer at Best Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty(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 inCustom 3D Logo Printed Fashion Travel Canvas Zipper Cosmetic Bag.

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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].Electric Scooter/ Motorcycle/TM-BQ/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.Commerical Okoume Plywood for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, required air pressure, and power were considered as predictor variables simultaneously.

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Everun 0.8ton Mini Wheel Loader with Euro III Engine$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.New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, 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%)Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle. 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.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor. Moreover,High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, 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 (Customized 18mm Carb Birch Okoumen Plywood), maintenance (China Plywood for The Furniture/Construction), 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,3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor), and annual cost index of mineral processing equipment.Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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