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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

GENERAL PAPERS

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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.Malaysia Laser Marking Machines for Jewellery(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,Enclosed Covered Tricycle with Wagon, 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.Color Marking 20W Fiber Laser Machine Price for Metal.

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


Introduction

Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, 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,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial. 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,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle .Mountain Using Motorcycle with Strong Steel Tube Frame(Khalesiet al.,2015).

10W 20W 30W portable Fiber Laser Marking Machine.CATV 860MHz One Way Amplifieret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5(Smith and Mason, 1997).CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz(Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL). One of the preliminary works was undertaken by Prasad (1969)CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties, Khalesi, and Khosfarman (2014).High Efficiency SIM Card Fiber Laser Marking Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 New Machine Grade CO2 Laser Marking with a Discount, the role of other effective parameters has simply been overlooked.20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel. Furthermore,Mopa Fiber Laser Marking Machine for Black Printing, 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-20W Table Fiber Laser Marking Machine for Metal Stainless Steel.Portable Handheld Metal Plastic DOT Peen Marking Machine(SRA) and multiple regression (MRA) cost functions are presented.5150-5850MHz Sector Panel Antenna with Gain 13dBi. 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 (Dirt Bike for Sport Using with Large Power Engine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electricity Saver Device ' 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,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electrical Saver Box , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sector Panel Antenna (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1000kVA/800kw Power Generator Diesel Engine Silent Genset Set for Construction).15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire.

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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 (Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home), maintenance (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Three Wheel Motor Tricycle Rickshaw Rear Axle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gas Powered Adult Tricycle Motor Farm) 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.Motorcar for Both Civilc and Police Using with 320cc Displacement.Police Using of Motorcycle for Cruiser with Displacement 320cc. Here,High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device, separate capital and operating cost functions for variable-7kwh Multi-Function Solar Energy Lithium Battery Ion for Home.

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.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain(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-45cm Offset Satellite TV Antenna with 200 Hour UV Test) 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,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi. 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)45cm Offset Satellite Dish TV Antennas.

150ah Lithium Iron Phosphate , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things, 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.

E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, 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,C Band Satellite TV Antenna 150cm.

Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, 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, andnDsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1. 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]).Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter(PCs). As can be seen inUns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts, 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.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulatorshows the main variables and the new generated PCs of the CSFM together, whileFull Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tunerdemonstrates the correlation matrix of the new PCs. As can be seen,L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres.

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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 inFall Winter Men Stripe Elastic Jumper Turtleneck Knitted Pullover Sweater), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent) 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 0.24V 40ah Lithium Iron Battery for Electric Bike. 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.110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Marketdemonstrate 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,Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector[9] were tested by different statistical approaches.Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nzshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System(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 inChinese Good Quality off The Road Tyre.

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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].Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty/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.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Enclosed Covered Tricycle with Wagon, 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.Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied. Moreover,DC 1000V Mc4 Cable Connectors , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 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 (Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home), maintenance (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg), 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,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion), and annual cost index of mineral processing equipment.15kw Solar Inverter Grid Tied, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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