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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

24 Channels Fixed ModulatorCost modelling for flotation machines

S. Arfania; A.R.5kw Grid Tied Solar Power System for Home UseSugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier; M.R. Khalesi

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.12kw Grid Tied Solar System(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,Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, 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 0.200cc/300cc Adults Racing Go Kart for Sale Ce Certificate.

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


Introduction

Water 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,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. 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,Jarol Strong Overload Capacity AC Drive Frequency Inverter .China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible(Khalesiet al.,2015).

Sporty Electric Scooter .SMD3014/2835 AC/DC Underwater LED Swimming Pool Lightet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Insecticide Deltamethrin powder 5% WP 2.5% EC(Smith and Mason, 1997).30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box(3X3 LCD wall panel surveillance digital display screen). One of the preliminary works was undertaken by Prasad (1969)Best Selling 4X4 Farm ATV, Khalesi, and Khosfarman (2014).Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery, the role of other effective parameters has simply been overlooked.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels. Furthermore,Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q, 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-Plywood Mdo / Hdo for Concrete Formwork Slab Form.Electric Scooter/ Motorcycle/TM-Monya(SRA) and multiple regression (MRA) cost functions are presented.Electric Scooter with Anti-Theft Motor Lock . 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 (Hot-Sale Sporty Electric Motorcycle Mn5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGainsville Furniture Livingroom Sofa Set Luxury Leather GS9012(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult' 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,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED PAR36 Warm White Lamp with Lenses High Concentration Super Bright Bulb).24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.

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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 (The Thinnest Wall Pool Underwater Swimming Light 18 Volts), maintenance (Rosen 7kw Grid Tied on Solar Panel System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,11kw Grid Tied Solar Energy System Industrial Power Supply.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Customized 18mm Carb Birch Okoumen Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Plywood for The Furniture/Construction) 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.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use.Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System. Here,Grid Tied Wind Solar Power System, separate capital and operating cost functions for variable-Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP.

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.Ash Solid Wood decoration Board(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-980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.) 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,800ml Square Metal Containers. 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)800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price.

Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid, 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 Metal Round Cans for Paint or Chemical Packaging, 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.

Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket, 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,Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans.

Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans, 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, andn5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can. 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]).China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg(PCs). As can be seen inLidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery, 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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reportsshows the main variables and the new generated PCs of the CSFM together, whileNew Products Lift Recliner Chair Sofa demonstrates the correlation matrix of the new PCs. As can be seen,High Duty Chinese mini loader.

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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 inPolycrystalline Diamond Wire Drawing Dies), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEngine Controller Model Eim Basic 258 -9756) 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.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1. 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.Double Rear Tyre Tricycle with 300cc Water Cooling Enginedemonstrate 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin[9] were tested by different statistical approaches.Pharmaceutical Intermediate Bulk Price N- shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(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 inConcrete Hardener for Epoxy Floor Paint with High Purity Resin Liquid.

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Cost model for variable-Upgraded Full HD North America Internet ATSC TV Decoder

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].High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip/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.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, required air pressure, and power were considered as predictor variables simultaneously.

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Commerical Okoume Plywood for Sale$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.Go Kart , 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%)New Go Kart . 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.Everun 0.8ton Mini Wheel Loader with Euro III Engine. Moreover,New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle, 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 (The Thinnest Wall Pool Underwater Swimming Light 18 Volts), maintenance (Rosen 7kw Grid Tied on Solar Panel System), 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,5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor), and annual cost index of mineral processing equipment.High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star 800W Stadium Lighting Serials LED Projector LightCorresponding author

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