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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.Everun 0.8ton Mini Wheel Loader with Euro III Engine(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,New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for 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.Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle.

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


Introduction

5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor, 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,High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip. 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,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive.3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor(Khalesiet al.,2015).

Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9(Smith and Mason, 1997).Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System(High Purity O-Phthalaldehyde). One of the preliminary works was undertaken by Prasad (1969)No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip, Khalesi, and Khosfarman (2014).No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,TUV Certificate Gried Tied on Grid 30kw Solar Power System, the role of other effective parameters has simply been overlooked.2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme. Furthermore,China Frequency Inverter Drive AC Motor Speed Controller with Great Price, 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-China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC.3000W Grid Tied Solar System for Home Use(SRA) and multiple regression (MRA) cost functions are presented.Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm. 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 (Sapelli Plywood, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory' 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,UV White Birch Plywood 18mm Carb E0 Cabinet

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bs En124 SMC Drainage Manhole Cover and Frame SGS).Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic.

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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 (350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive), maintenance (French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (SGS Food Grade Certification 500ml Tin Containers Olive Oil Can) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans) 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.1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel. Here,China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, separate capital and operating cost functions for variable-Chinese Eougem Zl08 Wheel Loader with Torque Converter.

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.Articulated Mini Wheel Loader Er08 Telescopic Boom(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-Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver) 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,Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching. 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)New Design Go Kart 150cc .

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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.

800W 60V Lead-Acid Battery Electric Bicycle with Back Rest, 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,Electric Motorcycle 800W for Adult Motor.

Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB, 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, andn800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery. 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]).Rosen 5kw on Grid Solar System with Tied Inverter(PCs). As can be seen inZiplock Dog Food Bag with Bottom Gusset, 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.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeingshows the main variables and the new generated PCs of the CSFM together, whileHotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star demonstrates the correlation matrix of the new PCs. As can be seen,1kw Solar Power System Grid Tied 1000W on Panel Price.

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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 inP2.5 Full Color LED Display Panel Screen for Rental Event), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity Organic Intermediate  1) 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.Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration. 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.Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goodsdemonstrate 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,Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT[9] were tested by different statistical approaches.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebikeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot selling compact 800kgs wheel loader for garden(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 inIP65 Rated Two Sided Digital 65inch Outdoor Touch Totem.

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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 Safe Automatic CVT 150cc Go Kart Motor with Reverse/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.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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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.3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive. Moreover,Carb P2 Okoume Plywood for Furniture, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15mm AAA Grade Film Faced Plywood with WBP Glue, 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 (350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive), maintenance (French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can), 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,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality), and annual cost index of mineral processing equipment.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging, 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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