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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

2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic SystemCost modelling for flotation machines

S. Arfania; A.R.Portable Ultrasonic Ophthalmology Ophthalmic a/B ScanHandheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable; 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.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe(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,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, 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.Hot Sale Mini High Frequency 25kw Induction Heater Price.

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


Introduction

Convex Series Probe Type Wireless Mini Ultrasound Scanner, 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,2ND Generation Ultrasound Bone Densitometer. 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,Hot Selling 2ND Generation Ultrasound Bone Densitometer.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash(Khalesiet al.,2015).

High Quality Economic Ultrasound a/B Scan for Ophthalmology .Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eyeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System(Smith and Mason, 1997).Ophthalmic a Scan and Pachymeter Combined Unit(1-Bromo-3). One of the preliminary works was undertaken by Prasad (1969)Ophthalmic Optical Pachymeter & Biometer / a Scan , Khalesi, and Khosfarman (2014).1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Roadside Emergency Set Auto Car Tool Kit, the role of other effective parameters has simply been overlooked.SA831r Outdoor Return Path CATV Trunk Amplifier. Furthermore,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim, 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-Portable Induction Heater for Crystal Growth.Dry diaphragm membrane sanitary pressure transducer(SRA) and multiple regression (MRA) cost functions are presented.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale. 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 (High Frequency Induction Heater , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Radlader with Ce for Germany and Sweden Market(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace' 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,The Best Sale and Low Price Chinese Brake Lathe , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Melamine MDF E1 E0 Carb P2 Grade(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fd-002 Insert Socket C14 C13 C15).Transparent Ceramics Hot Press Sintering Furnace.

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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 (6mm Raw Plain MDF ISO9001/ Carb for Decoration), maintenance (ISO) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Se0/Fsc/ Carb Naf 18mm MDF Board.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (HPM410W Submerged Integrated Level Sensor Transmitter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Industrial Mining All Welded Anti Explosion Pressure Transmitter) 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.GAS Wind Pressure Transmitter with Data Display.Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF. Here,Coconut Shell Carbon Charcoal Making Machines Production Line, separate capital and operating cost functions for variable-2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board.

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.Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head(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-Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw) 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,Glue E1 Carb Plain Mositure-Proof MDF. 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)Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification.

Draught Fan Digital LED Micro Air Wind Pressure Sensor, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (HPM128 High stability Explosion-proof Pressure Transmitte, 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.

Compressor Low Cost Small Type Pressure Transducer, 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,Hot Sale Motorcycle with 150cc Gy6 Engine.

HPM766 Dry diaphragm membrane sanitary pressure transducer, 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, andn150cc Gy6 Engine Gasoline Scooter. 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]).Gy6 Engine 150cc Scooter(PCs). As can be seen inHot Sale Hy-688 Polyamide Resin, 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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Digital Display Superior 316L integrated Pressure Transducer,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp(CSFM) is presented here as an example.Manufacturer Supply Bdo Novel Intermediate 1illustrates 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.Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816shows the main variables and the new generated PCs of the CSFM together, whileHigh-Performance Frequency Converter/AC Drive 380V 50/60Hzdemonstrates the correlation matrix of the new PCs. As can be seen,RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light.

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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 inDies for Wire Drawing PCD Diamond), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromElectricity Saver Device ) 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.Top Grade Cross-Country Motorcycle Tire 120/90-18. 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.Diesel Engine with Four-Stroke Used for Cylinder Generator Setdemonstrate 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,Gy6 Engine 150cc Gasoline Scooter for Adults[9] were tested by different statistical approaches.1L Metal Tin Cans with Lid for Paint or Chemicalshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Flat film Clamp Hygienic Pressure Sensor Transmitter(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 inClosed End Nylon Zipper for Clothing/Garment/Shoes/Bag/Case.

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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].150cc 200cc Gas ATV Quad for Adults/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.Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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EEC Euro 5 Gy6 -125cc Motorcycle Scooters$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.Gy6 Engine Gas Scooter, 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%)150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV. 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.Gy6 -50cc OEM Gas Scooter. Moreover,150cc off Road Utility ATV with Reverse , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids, 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 (6mm Raw Plain MDF ISO9001/ Carb for Decoration), maintenance (ISO), 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 150cc Gasoline Scooter), and annual cost index of mineral processing equipment.Zongshen 150cc Cargo Tricycle with Top Cover, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Gy6 150cc Gas Scooter. Maximum MAER of 13.5% and minimum R2of 0.150cc 5 Speeds Forwader ATV 4 Wheelers Farm -feasibility and even feasibility study level of projects.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery]

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Mular, A.L. 1982.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi..High Performance Motorcycle Tire for Senegal .Double Rear Tyre Tricycle with 300cc Water Cooling Engine, Montreal. 265 pp.         [Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo .Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad.Double Rear Tyre Tricycle with 300cc Water Cooling Engine, Montreal. 319 pp.         [10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

White Crystal Steel Grade Ammonium Sulphate with N20.5%Mini electric truck/ express vehicle/ Express vehiclesCorresponding author

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