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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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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

Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier BluetoothCost modelling for flotation machines

S. Arfania; A.R.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave InverterSP-KS410) Customized Fabric Softwood Frame Sofa; 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.1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw(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,L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire, 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.Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood.

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


Introduction

Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device, 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,New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini. 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,Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home.5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter(Khalesiet al.,2015).

Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw.Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoringet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade(Smith and Mason, 1997).Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV(in Line Multy-Cylinder Diesel Engine for Power Generator Set). One of the preliminary works was undertaken by Prasad (1969)Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25, Khalesi, and Khosfarman (2014).25KW Ground Mini loader price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System, the role of other effective parameters has simply been overlooked.Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter. Furthermore,Yn725 Yineng Mini Wheel Loader 25kw, 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-No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip.Yn725 Wheel Loader 25kw Mini(SRA) and multiple regression (MRA) cost functions are presented.CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw. 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 (2.4- 5GHz MIMO Omni Antenna, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip' 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,Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12V AC Warm White PC Mini Flat Resin Filled LED Pool Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Natural Stone Black Nero Marquina Marble Slabs for Wall/Flooring).Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer.

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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 (No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip), maintenance (220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media) 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.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use.Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5. Here,220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use, separate capital and operating cost functions for variable-Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh.

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.Camping Power / RV LiFePO4 Energy Storage(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-3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate) 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,Flying Online Fiber Laser Marking Machine with Conveyor Belt. 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)3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate.

Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, 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.

Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi, 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,381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer.

IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer, 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, andnCCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices. 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]).100W Full Enclosed Fiber Laser Marking Machine with Safe Cover(PCs). As can be seen inWholesales Organic Intermediate 1, 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.Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adultsshows the main variables and the new generated PCs of the CSFM together, whilePRO Audio Accessories of Line Array Rigging K1 demonstrates the correlation matrix of the new PCs. As can be seen,Best Selling Electric Scooter Mini 800W .

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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 inWafer Bicsuicts Chocolate Coating Machine Ce Certificate), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Dual 10 " 3-Way Tri-AMP Line Array Speaker) 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.High Quality Cheap 200cc and 150cc Farm Utility ATV. 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.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehousedemonstrate 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,1GHz Outdoor Bi-Directional CATV Amplifier[9] were tested by different statistical approaches.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Mini Willys Jeep Available on 110cc(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 inColorful Stainless Steel Coffee Cup Sealed Insulated Tumbler Mug with Handle.

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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].2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric/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.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire, required air pressure, and power were considered as predictor variables simultaneously.

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IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner$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.Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module , 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%)Bi-Directional Transmission Distribution Amplifier SA822. 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.Encryption Ts Satellite IRD. Moreover,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike, 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 (No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip), maintenance (220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use), 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,2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad), and annual cost index of mineral processing equipment.Closed Canvas Box 2 Ton Cargo Tricycle, and over- extrapolation could result in misguiding estimates.

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Lashgari, A.0.6m 5GHz Parabolic Antenna with Gain 28dBi, A.R. 2013.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart,150cc 200cc 250cc ATV Quad Bike for Adults,vol. 23. pp. 441-446.         [Spc Floor Click 4mm Thick Waterproof Plastic Vinyl Flooring]

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Mular, A.L. 1982.The Newest 110cc 125cc 150cc Toyota Mini Buggy .High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, Montreal. 265 pp.         [Carb Bleach White Poplar Plywood LVL 12mm 18mm]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.0.4m 5GHz Parabolic Antenna with Gain 23dBi.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, Montreal. 319 pp.         [Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad]

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Prasad, L. 1969.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, Metallurgy and Petroleum, Montreal. pp. 3-15.         [HDPE Water/Gas Supply Pipe Extrusion Line]

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Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [HPM766 Dry diaphragm membrane sanitary pressure transducer]

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USBM. 1987.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Discount Price Side Type Hydraulic Breaker with Pins]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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