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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

Double Chasis Cargo TricycleCost modelling for flotation machines

S. Arfania; A.R.750ml Metal Tin Can Container for Chili Oil CanningGlycine Methyl Ester Hydrochloride ; 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.Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids(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,Metal Engine Oil Can Recycling Lubricant Tin Packaging Container, 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 0.2L Galvanized Tin Cans for Cooking Oil with Plastic Lids.

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


Introduction

Electric Motorcycles , 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,Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry. 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,Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle(Khalesiet al.,2015).

Zl08 Chargeuse Wheel Loader.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid(Smith and Mason, 1997).500W EEC Electric scooter(Nitrogen 21% Granular Fertilizer Ammonium Sulphate). One of the preliminary works was undertaken by Prasad (1969)Electric Motorcycle , Khalesi, and Khosfarman (2014).Solar Electric Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K, the role of other effective parameters has simply been overlooked.OEM 1500W EEC Electric Scooter . Furthermore,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, 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-0.25mm Natural Wood Face Veneer.2L Empty Tin Container for Engine Oil Lubricant(SRA) and multiple regression (MRA) cost functions are presented.High-Performance Three Phase Frequency Converter 380V 50/60Hz. 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 (Electric Motorcycle , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;EEC Electric Scooter ' 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,No Foldable 40-60km Range Per Charge EEC 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,1 Wheel Electric Motorcycle/One Scooter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High-Performance Frequency Converter/AC Drive 380V 50/60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce Epistar SMD2835 240LEDs/M RGBA LED Flexible Strip Light).Three Phase 380V Small Frequency Converter.

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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 (Hot Sale High Performance Vector Frequency Converter 380V 45/55kw), maintenance (Single/Three Phase 220V 380V Vector Control Frequency Converter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory-Enginneered Veneer Ash in 0.30mm.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Small Frequency Inverter 380V 50/60Hz) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Single Phase Variable Frequency Inverter 1.5kw) 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.1.2mm White Poplar Veneer From Factory for Exporting.Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw. Here,Eucalyptus Core or Birch for Veneer with Grade AA, separate capital and operating cost functions for variable-Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price.

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.Popular 800W Power Electric Scooter(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-1250X2500mm Rotary Cut Okoume Veneer Cheap Prices) 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,Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader. 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)2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System.

Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wolf 0.8t 800kg Mini Loader with Euro 3 Engine, 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.

500- 800W 48V 20ah OEM manufacturers Electric 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,800W Brushless Adult Electric Scooter.

2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle, 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, andnBest Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle. 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]).Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter(PCs). As can be seen inThermal RF & Fractional Wrinkle Removal, 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.42 Inch Alone Standing Interactive LCD Touch Screen Information Kioskshows the main variables and the new generated PCs of the CSFM together, whileFactory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel Systemdemonstrates the correlation matrix of the new PCs. As can be seen,1L Panit Can.

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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 in90*115*13mm 6818 61818 61818t 61818y 1818s C3 C0 C2 Cm Open Metric Thin-Section Radial Single Row Deep Groove Ball Bearing for Chemical Motor Industry Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOEM PVC Home Suede Inflatable Sofa with Footstool) 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 0.2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle. 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.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25demonstrate 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,Pump Inverter Variable Frequency Drive Manufacturers AC Supplier[9] were tested by different statistical approaches.Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panelshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal(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 inLuxury New Disign Hydro Massage Indoor Jacuzzi Bathtub.

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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].China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock/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.Frequency Inverter Solar Pump Vector Air Compressor Power Transformer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Metal Engine Oil Can Recycling Lubricant Tin Packaging Container, required air pressure, and power were considered as predictor variables simultaneously.

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0.75kw-11kw Three Phase 380V Frequency Inverter VFD$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 0.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System, 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%)2876 10kw Home Used Solar Power System on Grid Roof. 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.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof. Moreover,AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Radiate Pine Face Veneer, 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 (Hot Sale High Performance Vector Frequency Converter 380V 45/55kw), maintenance (Single/Three Phase 220V 380V Vector Control Frequency Converter), 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,Grade AA Veneer Furniture Building Material Plywood to Dubai), and annual cost index of mineral processing equipment.1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Manufacturer of Enigine Oil Can. Maximum MAER of 13.5% and minimum R2of 0.Small Wheel Loader Wl80 800kg Loaders for Farm Work-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Frequency Converterlow Industrial Power Inverter.2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery, Montreal. 265 pp.         [3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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