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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

98% Uvarigranol B\C\D\E Standard Reference Materials Plant ExtractsCost modelling for flotation machines

S. Arfania; A.R.Mountain Using Motorcycle with Strong Steel Tube FrameMotorcycle Spare Part Oil Switch for Gy6 150; M.R. Khalesi

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.10W 20W 30W portable Fiber Laser Marking Machine(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,CATV 860MHz One Way Amplifier, 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.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz.

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


Introduction

CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties, 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,High Efficiency SIM Card Fiber Laser Marking Machine. 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 New Machine Grade CO2 Laser Marking with a Discount.20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel(Khalesiet al.,2015).

Mopa Fiber Laser Marking Machine for Black Printing.20W Table Fiber Laser Marking Machine for Metal Stainless Steelet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Factory Price CAS 702- 79 -4 1(Smith and Mason, 1997).Portable Handheld Metal Plastic DOT Peen Marking Machine(Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room). One of the preliminary works was undertaken by Prasad (1969)5150-5850MHz Sector Panel Antenna with Gain 13dBi, Khalesi, and Khosfarman (2014).Dirt Bike for Sport Using with Large Power Engine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Electricity Saver Device , the role of other effective parameters has simply been overlooked.3 Phase 50 - 60Hz Intelligent Power Saver. Furthermore,High Efficient Industrial Electric Motor Power Saver, 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-EEC 125/300cc Euro 5V Max Scooter-Alex One.Electricity Power Reducer (SRA) and multiple regression (MRA) cost functions are presented.Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25. 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 (Electrical Saver Box , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Sector Panel Antenna ' 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,Three Wheel Motor Tricycle Rickshaw Rear Axle

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gas Powered Adult Tricycle Motor Farm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcar for Both Civilc and Police Using with 320cc Displacement(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (10ton Manual Chain Hoist & Block).Police Using of Motorcycle for Cruiser with Displacement 320cc.

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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 (High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device), maintenance (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (45cm Offset Satellite TV Antenna with 200 Hour UV Test) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi) 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.45cm Offset Satellite Dish TV Antennas.150ah Lithium Iron Phosphate . Here,2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things, separate capital and operating cost functions for variable-E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers.

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.C Band Satellite TV Antenna 150cm(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-Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China) 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,Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1. 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)Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter.

Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4000W/5000W off Grid Tied Solar Power System, 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.

Internet TV Box Linux IPTV Zgemma I55, 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,L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres.

High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, 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, andn24V 40ah Lithium Iron Battery for Electric Bike. 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]).Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector(PCs). As can be seen inFactory Supply Disodium Phosphate Anhydrous Food Additive, 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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Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector,Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty(CSFM) is presented here as an example.ADSS Body Slimming Beauty Machine illustrates the high correlation between predictor variables for the CSFM.

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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.Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692shows the main variables and the new generated PCs of the CSFM together, whileScarlet/ Violet / Purple/ Golden/Green Pigment Pastedemonstrates the correlation matrix of the new PCs. As can be seen,2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home.

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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 inOutdoor Sport Fitness Fanny Belt Pack Chest Waist Bag), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWhite Extrusion Granular Ammonium Sulphate China Factory) 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.Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use. 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.Electric Pipe End Bevelling Machinedemonstrate 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,Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter[9] were tested by different statistical approaches.Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phaseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases(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 inKing Quenson Fast Delivery Insecticide Bifenthrin 10% Ew Manufacturer.

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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].Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied/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.DC 1000V Mc4 Cable Connectors ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CATV 860MHz One Way Amplifier, required air pressure, and power were considered as predictor variables simultaneously.

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15kw Solar Inverter Grid Tied$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.Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, 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%)China Famous Brand Hr912 Shovel Loader for Agriculture Working. 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.Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System. Moreover,25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, 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 (High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device), maintenance (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home), 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,China Factory Lithium 150ah Battery with BMS AC Output), and annual cost index of mineral processing equipment.Intelligent Power Saver for Industry Use, 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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