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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.12V AC Warm White PC Mini Flat Resin Filled LED Pool Light(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,Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer, 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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip.

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


Introduction

220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use, 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,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market. 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,2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool.4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in7kwh Multi-Function Solar Energy Lithium Battery Ion for Home(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer' 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,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Best Selling Electric Scooter Mini 800W , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),150cc Automatic Racing Sports Exclusive Design ATV (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Good Quality Metal Sheet and Tube Fiber Laser Cutting Machine Used in Industry Equipment).High Quality Cheap 200cc and 150cc Farm Utility ATV.

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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 (1GHz Outdoor Bi-Directional CATV Amplifier), maintenance (New Mini Willys Jeep Available on 110cc) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sell 800W Delivery City Electric Scooter for Take-out Business.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe) 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.3kw Liquid Cooling UHF Digital TV Transmitter DTV.He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter. Here,IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner, separate capital and operating cost functions for variable-Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module .

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.Bi-Directional Transmission Distribution Amplifier SA822(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-Encryption Ts Satellite IRD) 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,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods. 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)Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike.

2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Closed Canvas Box 2 Ton Cargo Tricycle, 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.

Sanyou 125cc Efi System with Delivery Box Gas Scooter, 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 Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle.

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whereCeis the estimated cost,Cathe actual cost, andn250cc Oil Cooling Dirt Bike with EPA. 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]).Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter(PCs). As can be seen inVitamin a Palmitate Powder 500 Cws-Gfp, 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.Screw Top Metal Tin Canshows the main variables and the new generated PCs of the CSFM together, whileHPM410W Submerged Integrated Level Sensor Transmitterdemonstrates the correlation matrix of the new PCs. As can be seen,150cc 200cc 250cc ATV Quad Bike for Adults.

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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 inBeta-Cypermethrin 4.5% Ew Insecticide Pesticide & Veterinary Substance), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale) 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 Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS. 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.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywooddemonstrate 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,The Newest 110cc 125cc 150cc Toyota Mini Buggy [9] were tested by different statistical approaches.Carb Bleach White Poplar Plywood LVL 12mm 18mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS(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 inJumble Size Absolute White Quartz Stone Slab.

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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].0.4m 5GHz Parabolic Antenna with Gain 23dBi/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.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer, required air pressure, and power were considered as predictor variables simultaneously.

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Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on$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.New Mini Willys Jeep Available on 110cc, 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%)150cc ATV for Adults Lmatv-150hm. 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.12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty. Moreover,High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, 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 (1GHz Outdoor Bi-Directional CATV Amplifier), maintenance (New Mini Willys Jeep Available on 110cc), 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,150cc Quad 4WD ATV for Adults), and annual cost index of mineral processing equipment.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip. Maximum MAER of 13.5% and minimum R2of 0.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty-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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