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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Bluetooth Speaker WiFi RGB+WY LED Ceiling LampCost modelling for flotation machines

S. Arfania; A.R.GAS Wind Pressure Transmitter with Data DisplayConvex Series Probe Type Wireless Mini Ultrasound Scanner; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF(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,Coconut Shell Carbon Charcoal Making Machines Production Line, 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 0.2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board.

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


Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head, 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,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw. 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,Glue E1 Carb Plain Mositure-Proof MDF.Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification(Khalesiet al.,2015).

Draught Fan Digital LED Micro Air Wind Pressure Sensor.HPM128 High stability Explosion-proof Pressure Transmitteet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for [Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(Smith and Mason, 1997).Compressor Low Cost Small Type Pressure Transducer(RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light). One of the preliminary works was undertaken by Prasad (1969)Hot Sale Motorcycle with 150cc Gy6 Engine, Khalesi, and Khosfarman (2014).HPM766 Dry diaphragm membrane sanitary pressure transducer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,150cc Gy6 Engine Gasoline Scooter, the role of other effective parameters has simply been overlooked.Gy6 Engine 150cc Scooter. Furthermore,Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip, 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-Digital Display Superior 316L integrated Pressure Transducer.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp(SRA) and multiple regression (MRA) cost functions are presented.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Gy6 125cc Sproty Scooter /Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Top Grade Cross-Country Motorcycle Tire 120/90-18' 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,Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Raw Petro High Temperature Sapphire Pressure Transmitter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Glassware Square Shape Oil Glass Bottle Perfume Cosmetic Packaging).EEC Euro 5 Gy6 -125cc Motorcycle Scooters.

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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 (Gy6 Engine Gas Scooter), maintenance (150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gy6 -50cc OEM Gas Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc off Road Utility ATV with Reverse ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids) 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.Gy6 150cc Gasoline Scooter.Zongshen 150cc Cargo Tricycle with Top Cover. Here,Gy6 150cc Gas Scooter, separate capital and operating cost functions for variable-150cc 5 Speeds Forwader ATV 4 Wheelers Farm .

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.150cc Gy6 Engine Automatic ATV Sports Quad Bike(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-Hot Selling Electric Race Vietnam Motorcycle Tire ) 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,Gy6 150cc Gasoline Scooter. 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)No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme.

Gy6 -50cc Scooter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China 150cc Gy6 Gasoline Scooter, 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.

Euro 4 Certificate, 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,2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.

High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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 Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.. 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]).High Performance Motorcycle Tire for Senegal (PCs). As can be seen inSnow Mobile Rubber Track Gas Adult Ski Scooter, 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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300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo ,Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad(CSFM) is presented here as an example.Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machineillustrates 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.CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farmshows the main variables and the new generated PCs of the CSFM together, whileRaw Petro High Temperature Sapphire Pressure Transmitterdemonstrates the correlation matrix of the new PCs. As can be seen,12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories.

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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 inHS-A7 3D Four Wheel Aligner Car Repair Equipment Tire Tool), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer) 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.Portable Automatic Ultrasound Bone Analyzer Densitometer. 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.6000W Single Phase Inverter Grid Tied Home Solar Systemdemonstrate 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,300cc New Classic Cheap Cargo Tricycle [9] were tested by different statistical approaches.EPDM 50 Duro As568 Rubber O Ringshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 (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 inEye Shield Single Use Ophthalmic.

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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].Ophthalmic Pachymeter /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.


Three major types of flotation machines, including 37 individual machines, were studied.6A Grade Indian Beard; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Coconut Shell Carbon Charcoal Making Machines Production Line, required air pressure, and power were considered as predictor variables simultaneously.

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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.Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft. Moreover,Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (30W Bird Rings Machine Laser Marker with Rotation Working Table, 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 (Gy6 Engine Gas Scooter), maintenance (150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV), 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,Mini Handle Electric DOT Peen Marking Machine), and annual cost index of mineral processing equipment.Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40, and over- extrapolation could result in misguiding estimates.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Acid Dyes Deep Blue 5r]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Construction Equipment Mini Wheel Loader with Quick Hitch]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20]

Khalesi, M. R., Zarei, M. J.,GAS Wind Pressure Transmitter with Data Display, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-4u 16 in 1 Agile CATV RF Modulator Channels.Minerals Engineering,vol. 81. pp. 103-108.         [Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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