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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

Three Phase AC Variable Speed Frequency Converter Fan Motor Pump ControllerCost modelling for flotation machines

S. Arfania; A.R.Auto Parts Laser Printing Machine Marking System Engraving Equipment1GHz Outdoor Bi-Directional CATV Amplifier; 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.Water-Proof Cover 3 Wheel Cargo Gasoline Trike(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,Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine, 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 0.2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W.

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


Introduction

Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, 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,30W CO2 Touch Screen Laser Marking Coding Engraving 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,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty.Solid State Inductive Heating Furnace for Tyre Cord Wire(Khalesiet al.,2015).

Factory Supply Biomass Rice Husk Charcoal Making Machine.Hospital Equipment Portable Ultrasound Bone Densitometer at Best Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Tin Can with Metal Cap for Food Storage(Smith and Mason, 1997).Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner(IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip). One of the preliminary works was undertaken by Prasad (1969)Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, Khalesi, and Khosfarman (2014).Low Failure Rate High Efficiency Induction Metal Heating Machine ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, the role of other effective parameters has simply been overlooked.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe. Furthermore,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, 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-Hot Sale Mini High Frequency 25kw Induction Heater Price.Convex Series Probe Type Wireless Mini Ultrasound Scanner(SRA) and multiple regression (MRA) cost functions are presented.2ND Generation Ultrasound Bone Densitometer. 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 (Hot Selling 2ND Generation Ultrasound Bone Densitometer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDouble 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash' 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,1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Roadside Emergency Set Auto Car Tool Kit, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),SA831r Outdoor Return Path CATV Trunk Amplifier(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Promotional Casual Women's White Hole Sweatershirt).2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.

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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 (Portable Induction Heater for Crystal Growth), maintenance (Dry diaphragm membrane sanitary pressure transducer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Frequency Induction Heater ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace) 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.Softel 4u 12 Channel Agile CATV Analog RF Modulator.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool. Here,Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car, separate capital and operating cost functions for variable-High Quality Melamine MDF with Competitive Price Ce Carb Grade.

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.Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF(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-The Best Sale and Low Price Chinese Brake Lathe ) 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,Melamine MDF E1 E0 Carb P2 Grade. 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)Transparent Ceramics Hot Press Sintering Furnace.

6mm Raw Plain MDF ISO9001/ Carb for Decoration, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (ISO, 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.

Se0/Fsc/ Carb Naf 18mm MDF Board, 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,HPM410W Submerged Integrated Level Sensor Transmitter.

Industrial Mining All Welded Anti Explosion Pressure Transmitter, 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, andnGAS Wind Pressure Transmitter with Data Display. 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]).Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF(PCs). As can be seen inNew Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip, 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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2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board,Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head(CSFM) is presented here as an example.10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.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.High Quality Solar PV Grid- Tied Invertersshows the main variables and the new generated PCs of the CSFM together, whileYn725 Wheel Loader 25kw Minidemonstrates the correlation matrix of the new PCs. As can be seen,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw.

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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 in20-65cm Soft Stuffed Peluches Baby Toy Cartoon Standing Plush Dog), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2ND Generation Ultrasound Bone Densitometer) 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.Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification. 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.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8demonstrate 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,Draught Fan Digital LED Micro Air Wind Pressure Sensor[9] were tested by different statistical approaches.New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.HPM128 High stability Explosion-proof Pressure Transmitte(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 inPort Use Industrial Tires 1200r24/1600r25/1800r25/1800r33.

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Cost model for variable-Compressor Low Cost Small Type Pressure Transducer

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].Hot Sale Motorcycle with 150cc Gy6 Engine/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.HPM766 Dry diaphragm membrane sanitary pressure transducer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine, 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.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light. Moreover,Gy6 125cc Sproty Scooter /Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Top Grade Cross-Country Motorcycle Tire 120/90-18, 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 (Portable Induction Heater for Crystal Growth), maintenance (Dry diaphragm membrane sanitary pressure transducer), 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,Gy6 Engine 150cc Gasoline Scooter for Adults), and annual cost index of mineral processing equipment.Flat film Clamp Hygienic Pressure Sensor Transmitter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Steel Wheel Hub Buggy 150cc ATV. Maximum MAER of 13.5% and minimum R2of 0.150cc 200cc Gas ATV Quad for Adults-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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