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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.25KW Ground Mini loader price(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,Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System, 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.Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter.

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


Introduction

Yn725 Yineng Mini Wheel Loader 25kw, 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,No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light 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,Yn725 Wheel Loader 25kw Mini.CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw(Khalesiet al.,2015).

2.4- 5GHz MIMO Omni Antenna.New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chipet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts(Smith and Mason, 1997).off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase(Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5). One of the preliminary works was undertaken by Prasad (1969)12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Loader 25kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe, the role of other effective parameters has simply been overlooked.Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine. Furthermore,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, 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-12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer(SRA) and multiple regression (MRA) cost functions are presented.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip. 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 (220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfesssional Audio Professional Line Array Musical Instrument System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market' 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,220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use

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 & Mains Storage Battery Charger with Inverter to 80AC 3840wh, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Camping Power / RV LiFePO4 Energy Storage(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Mesh Glitter PU Leather Shining Net Bag for Electronic Packaging).3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate.

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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 (Flying Online Fiber Laser Marking Machine with Conveyor Belt), maintenance (3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi) 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.381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer.IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer. Here,CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices, separate capital and operating cost functions for variable-100W Full Enclosed Fiber Laser Marking Machine with Safe Cover.

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.20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser(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-for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000) 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,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter. 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)Best Selling Electric Scooter Mini 800W .

150cc Automatic Racing Sports Exclusive Design ATV , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Cheap 200cc and 150cc Farm Utility ATV, 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.

1GHz Outdoor Bi-Directional CATV Amplifier, 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,New Mini Willys Jeep Available on 110cc.

Hot Sell 800W Delivery City Electric Scooter for Take-out Business, 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, andn2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric. 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]).My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe(PCs). As can be seen inLinux TV Box International Internet Smart IPTV Zgemma I55, 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.Waterproof Floor Standing Alone Outdoor Digital Signageshows the main variables and the new generated PCs of the CSFM together, whileQ210 Passive PA Speaker Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module .

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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 inHigh Refresh P6 P5 P4 P3 Indoor Full Color LED TV Display), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from18" Die Cast P-Auido Style Aluminum Frame) 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.Encryption Ts Satellite IRD. 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.White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anestheticdemonstrate 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,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods[9] were tested by different statistical approaches.12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxialshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike(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 inVitamin C Face Serun Skin Care Cosmetic.

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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].Closed Canvas Box 2 Ton Cargo Tricycle/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.Sanyou 125cc Efi System with Delivery Box Gas Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System, 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.0.6m 5GHz Parabolic Antenna with Gain 28dBi. Moreover,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc 200cc 250cc ATV Quad Bike for Adults, 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 (Flying Online Fiber Laser Marking Machine with Conveyor Belt), maintenance (3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate), 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,4 Stroke Buggy 150cc ATV), and annual cost index of mineral processing equipment.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,The Newest 110cc 125cc 150cc Toyota Mini Buggy . Maximum MAER of 13.5% and minimum R2of 0.High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS-feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price.Minerals Engineering,vol. 81. pp. 103-108.         [50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive]

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Mular, A.L. 1982.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 26.5-25.150cc Quad 4WD ATV for Adults, Montreal. 265 pp.         [Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.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.150cc Quad 4WD ATV for Adults, Montreal. 319 pp.         [5150-5850MHz Sector Panel Antenna with Gain 13dBi]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Zl08 800kg China Small Garden Tractor with Front Loader Yard]

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Prasad, L. 1969.Grid Tied Inverter 3kw.5kw Solar PV Kit Power Gird Tied Inverter, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line]

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High Quality Cheap 200cc and 150cc Farm Utility ATV, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Fashionable Insulated Neoprene Beer Bottle Cooler with Diamond]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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