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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

Donbn Dz- 10 Two Way Full Range Professional KTV SpeakerCost modelling for flotation machines

S. Arfania; A.R.Zl08f Wheel Loader with Rops CabSingle 12" Plastic Waterproof Speaker; 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.2HP 1 Phase Frequency Converter(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,7.5HP Three Phase Frequency Converter, 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 0.3HP 1 Phase Frequency Converter.

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


Introduction

3HP 1 Phase Frequency Converter, 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,10HP Three Phase Frequency Converter. 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,3HP Frequency Converter Vector Three Phase.15HP Three Phase Frequency Converter(Khalesiet al.,2015).

Power Smart Electric Scooter with LED Light 60V800W20ah.3HP Three Phase Frequency Converteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner (Smith and Mason, 1997).1HP Frequency Converter Vector Three Phase(500kw Solar Energy System Grid Tied 500kwatt Panel Station). One of the preliminary works was undertaken by Prasad (1969)15HP Frequency Converter Vector Three Phase, Khalesi, and Khosfarman (2014).2HP Frequency Converter Vector Single Phase; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, the role of other effective parameters has simply been overlooked.Home Use 6kw Grid Tied Solar Power System with High Performance. Furthermore,Hot Sale 10kw 10000W off Grid Solar Power System Home Use, 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-4kw 3phase Frequency Converter 50Hz to 60Hz.1.5kw 3phase Frequency Converter 50Hz to 60Hz(SRA) and multiple regression (MRA) cost functions are presented.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels. 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 (Round Tin Can for Food Packaging Empty Tinplate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inRetinoic Acid CAS No. 302- 79 -4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal' 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,Huihuang Bamboo Fence Timbers

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solar Power System Home 5kw off Grid Tied Solution, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Agriculture Loadall Machines 3 Ton Telescopic Forklift Loader Telehandle).Power Mini Electric Scooter for Lady 60V800W.

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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 (Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power), maintenance (2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.75kw Power Frequency Converter 60Hz 50Hz) 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.Variable Frequency Inverter Solar Pump DC/AC.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box. Here,2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing, separate capital and operating cost functions for variable-1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical.

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.Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap(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-500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical) 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,Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. 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)Customized B/C/D/E Grade Wood/Natural Birch Veneer.

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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.

Many Designs Moulded Door Skin for Interior, 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,Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin.

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whereCeis the estimated cost,Cathe actual cost, andnBulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady. 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]).Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult(PCs). As can be seen inISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, 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.Modern Home Living Room Furniture Velvet Sofa Setshows the main variables and the new generated PCs of the CSFM together, whileIndustrial Energy Saving Device Made in Chinademonstrates the correlation matrix of the new PCs. As can be seen,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal.

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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 inWoma New Design Whirlpool Corner Glass Two Persons Massage Bathtub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module) 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.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike. 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.China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metaldemonstrate 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,Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W[9] were tested by different statistical approaches.Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Tl08 Mini Wheel Loader with Low Price for Sale(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 in65 Inch 4K Television Smart TV.

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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].Yn725 Yineng Mini Wheel Loader 18.5kw/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.Ce Approved Mini Loader with Road Sweeper; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,7.5HP Three Phase Frequency Converter, required air pressure, and power were considered as predictor variables simultaneously.

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Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied$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 0.60V/72V 1200W Electric Scooter with Tianneng Battery, 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%)Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid. 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.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System. Moreover,Metal Cans 0.925 Liter Tin Barrel for Packaging Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Inverter Pump AC Drive Price, 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 (Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power), maintenance (2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult), 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,Frequency Inverter VFD AC Drive), and annual cost index of mineral processing equipment.Power Frequency Converter 60Hz 50Hz Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Frequency Converter for Water Pump. Maximum MAER of 13.5% and minimum R2of 0.Power Frequency Converter AC Drive Inverter-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Cheap Smart Lady's Electric Scooter 60V800W.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts.Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, Montreal. 265 pp.         [Co-Soluble Polyamide Resin with Top Quality]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift.Yn725 Yineng Mini Wheel Loader 18.5kw.Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, Montreal. 319 pp.         [Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood]

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USBM. 1987.Glue Tin Can with Plastic Lid / Square Metal Paint Sizes,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Double 2 Door TCP/IP Access Control Panel]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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