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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.Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.(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,Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price, 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.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket.

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


Introduction

2021 New Model 125cc 150cc Ce Approval off Road ATV, 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,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25. 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,40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce(Khalesiet al.,2015).

Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce.OTR Heavy Loader Tyre L5 20.5-25 Size Best Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory(Smith and Mason, 1997).Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter(Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia). One of the preliminary works was undertaken by Prasad (1969)1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw, Khalesi, and Khosfarman (2014).L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood, the role of other effective parameters has simply been overlooked.Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device. Furthermore,New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, 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-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(SRA) and multiple regression (MRA) cost functions are presented.Eougem Mini 0.8 Ton Front End Loader of Good Quality 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 (Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV' 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,Yn725 Yineng Mini Wheel Loader 25kw

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725 Wheel Loader 25kw Mini(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (925 Sterling Silver CZ Jewelry Hotselling Simple Bracelet).CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw.

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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 (2.4- 5GHz MIMO Omni Antenna), maintenance (New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725 Yineng Mini Wheel Loader 25kw) 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.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe.Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine. Here,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, separate capital and operating cost functions for variable-12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.

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.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer(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-No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip) 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,220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use. 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)Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market.

2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media, 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.

220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use, 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,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5.

220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use, 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, andnSolar & Mains Storage Battery Charger with Inverter to 80AC 3840wh. 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]).Camping Power / RV LiFePO4 Energy Storage(PCs). As can be seen inPeq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, 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.8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Lightshows the main variables and the new generated PCs of the CSFM together, whileDust Collector Machine Wooddemonstrates the correlation matrix of the new PCs. As can be seen,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty.

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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 inLarge Size Stationary Electric Hydraulic Pump Lift Table), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10'' Inch Ferrite Woofer) 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.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi. 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.PRO Audio Accessories of Line Array Rigging K1 demonstrate 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,381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer[9] were tested by different statistical approaches.Three Heads Woodworking Machine Atc CNC Routershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer(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 inHot-Sale Electric Hoist 380V50Hz3p 1t*6m.

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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].100W Full Enclosed Fiber Laser Marking Machine with Safe Cover/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.20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price, 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.1GHz Outdoor Bi-Directional CATV Amplifier. Moreover,New Mini Willys Jeep Available on 110cc, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sell 800W Delivery City Electric Scooter for Take-out Business, 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 (2.4- 5GHz MIMO Omni Antenna), maintenance (New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip), 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 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric), and annual cost index of mineral processing equipment.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,3kw Liquid Cooling UHF Digital TV Transmitter DTV. Maximum MAER of 13.5% and minimum R2of 0.He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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