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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.Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW 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,Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter, 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.Yn725 Yineng Mini Wheel Loader 25kw.

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


Introduction

No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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,Yn725 Wheel Loader 25kw 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,CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw.2.4- 5GHz MIMO Omni Antenna(Khalesiet al.,2015).

New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip.off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phaseet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult(Smith and Mason, 1997).12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty(Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 25kw, Khalesi, and Khosfarman (2014).IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine, the role of other effective parameters has simply been overlooked.AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light. Furthermore,12V AC Warm White PC Mini Flat Resin Filled LED 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-Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip(SRA) and multiple regression (MRA) cost functions are presented.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use. 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 (Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPRO Audio Accessories of Line Array Rigging K1 (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool' 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,Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Camping Power / RV LiFePO4 Energy Storage, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solar Energy Pathway Lighting Outdoor).Flying Online Fiber Laser Marking Machine with Conveyor Belt.

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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 (3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate), maintenance (Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer) 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-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer.CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices. Here,100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, separate capital and operating cost functions for variable-20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser.

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.for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000(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-600W- 800W 48V/60V Lead-Acid Battery Electric Scooter) 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,Best Selling Electric Scooter Mini 800W . 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)150cc Automatic Racing Sports Exclusive Design ATV .

High Quality Cheap 200cc and 150cc Farm Utility ATV, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1GHz Outdoor Bi-Directional CATV Amplifier, 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.

New Mini Willys Jeep Available on 110cc, 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,Hot Sell 800W Delivery City Electric Scooter for Take-out Business.

2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric, 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, andnMy-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe. 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]).3kw Liquid Cooling UHF Digital TV Transmitter DTV(PCs). As can be seen inChina Everun Er408 Small Loader Compact with Pallet Forks, 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.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouseshows the main variables and the new generated PCs of the CSFM together, while1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Usedemonstrates the correlation matrix of the new PCs. As can be seen,Bi-Directional Transmission Distribution Amplifier SA822.

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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 inAutomatic Wheel Aligner Automobile Garage Equipment), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVitamin a Palmitate Powder 500 Cws-Gfp) 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.Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods. 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.Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320demonstrate 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-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike[9] were tested by different statistical approaches.Screw Top Metal Tin Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad(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 inCompetitive Shipping Container From Shanghai to Caribbean Sea.

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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].Sanyou 125cc Efi System with Delivery Box Gas Scooter/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

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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.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart. Moreover,150cc 200cc 250cc ATV Quad Bike for Adults, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4 Stroke Buggy 150cc ATV, 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 (3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate), maintenance (Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty), 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,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS), and annual cost index of mineral processing equipment.The Newest 110cc 125cc 150cc Toyota Mini Buggy , and over- extrapolation could result in misguiding estimates.

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Lashgari, A.Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, A.R. 2013.New Mini Willys Jeep Available on 110cc,150cc ATV for Adults Lmatv-150hm,vol. 23. pp. 441-446.         [China Wholesale Disposable Shaving Cream]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip, Montreal. vol.13. 166 pp.         [China Disposable Products Sleepy Baby Diaper with Good Quality]

Mular, A.L. 1982.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25.150cc Quad 4WD ATV for Adults.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, Montreal. 265 pp.         [HDPE Water/Gas Supply Pipe Extrusion Line]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, Montreal. 319 pp.         [Jwell Raincoat TPU Film Extrusion Machine]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.5kw Grid Tied Solar Inverter Three Phase for Home Use.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [HPM766 Dry diaphragm membrane sanitary pressure transducer]

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Prasad, L. 1969.5kw Solar PV Kit Power Gird Tied Inverter.Factory Mining Tyre, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader]

1GHz Outdoor Bi-Directional CATV Amplifier, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Factory-Slicer Natural American Red Oak Veneer in 0.50mm]

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1GHz Outdoor Bi-Directional CATV Amplifier, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Metronome and Tuner]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond]

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USBM. 1987.150cc Front Cabin Cargo Tricycle,OTR G2 Grader Tubeless Tyre 17.5-25-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Cheapest Air Logistics From China to Denmark]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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