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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

2L Empty Tin Container for Engine Oil LubricantCost modelling for flotation machines

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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.Motorbicycle with Efi Fuel Supply and Steel Tube Frame(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,High Speed Kawasaki Ninja Motorcycle 250cc, 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.Mini Nameplate Pneumatic Engraving Machine.

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


Introduction

Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range, 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,Mini electric truck/ express vehicle/ Express vehicles. 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,Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes.BAW Made of Electric Car with Lithium Battery(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (1L Aluminum Tin Can for Food Packaging , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA Speaker Accessories and Parts (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Cone Top Tin Can with Screw Cap' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Flexible Label Laser Marking Machine for Automotive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wood Veneer Slicing Machine).CATV Indoor Amplifier 8200.

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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 (4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter), maintenance (Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Metal Fiber Ring Color Laser Engraving Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Perfect Laser Rotary DOT Peen Marker for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer) 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.Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi . Here,110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre, separate capital and operating cost functions for variable-3kwh LiFePO4 Battery with 5 Years Warranty.

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.Anti Explosion High Stability Sealed Pressure Sensor(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-Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use) 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,Screw Compressor Low Cost Small Type Pressure Sensor. 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)Solar Energy Storage System Built-in Inverter.

4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Lithium Battery 200ah LiFePO4 Pack 3kwh, 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.

Smokeless Rice Husk Continuous Carbonization Oven for Sale, 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,45kw Mf Induction Heating Machine Heater.

Ytd-Dih25 IGBT Automatic Induction Heating Machine, 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, andnSolar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System. 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]).Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter(PCs). As can be seen inAudio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell, 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.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5cashows the main variables and the new generated PCs of the CSFM together, while5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternatordemonstrates the correlation matrix of the new PCs. As can be seen,Mini Size Water Differential Pressure Sensor for HVAC.

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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 inProfessional Sea Shipping Service From China to Denmark /Aarhus/Copenhagen/Esbjerg/Aalborg/Odense), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEngine Oil Cans 4 Liter Motor Lubricating Tin Can) 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.Digital Display Hygienic Pressure Indicator Transmitter. 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.250W- 800W Handicapped Mobility Scooter for Old People with Basketdemonstrate 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,High Stable Universal Pressure Transmitter[9] were tested by different statistical approaches.Motorbicycle with Stable Wheelsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.4-20mA Micro Air Gas Differential Pressure Sensor Transducer(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 inNail Polish Gel Printer Beauty Art Tips Manicure Set.

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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].Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater/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.Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Speed Kawasaki Ninja Motorcycle 250cc, required air pressure, and power were considered as predictor variables simultaneously.

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Fractional RF & Thermal Beauty Machine$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.Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming, 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%)Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808. 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.Hot Selling Tires Motorcycle Tyres 110/90- 17. Moreover,Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software, 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 (4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter), maintenance (Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator), 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,90/90-21 China Super Cheap Motorcycle Tire/Tyre), and annual cost index of mineral processing equipment.110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine. Maximum MAER of 13.5% and minimum R2of 0.Gy6 -80 Motorcycle Parts Starting Motor Gear-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Carb P2 Plywood/EPA Plywood /OkoumeE1 Glue Malamine Mositure-Proof MDF with Carb CertificationCorresponding author

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