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



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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.30W CO2 Touch Screen Laser Marking Coding Engraving Machine(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,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 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.Solid State Inductive Heating Furnace for Tyre Cord Wire.

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


Factory Supply Biomass Rice Husk Charcoal Making Machine, 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,Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price. 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,Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner.Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty(Khalesiet al.,2015).

Low Failure Rate High Efficiency Induction Metal Heating Machine .Portable Ultrasonic Ophthalmology Ophthalmic a/B Scanet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Power Two-Way Full Range PRO Audio Speaker Box System(Smith and Mason, 1997).Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe(Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality). One of the preliminary works was undertaken by Prasad (1969)Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, Khalesi, and Khosfarman (2014).Hot Sale Mini High Frequency 25kw Induction Heater Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Convex Series Probe Type Wireless Mini Ultrasound Scanner, the role of other effective parameters has simply been overlooked.2ND Generation Ultrasound Bone Densitometer. Furthermore,Hot Selling 2ND Generation Ultrasound Bone Densitometer, 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-Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash.High Quality Economic Ultrasound a/B Scan for Ophthalmology (SRA) and multiple regression (MRA) cost functions are presented.Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Ophthalmic a Scan and Pachymeter Combined Unit, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Ophthalmic Optical Pachymeter & Biometer / a Scan ' 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,Portable Induction Heater for Crystal Growth

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dry diaphragm membrane sanitary pressure transducer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stainless Steel Pharmaceutical Sanitary Tank Lower Diaphragm Membrane Valve).High Frequency Induction Heater .

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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 (Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace), maintenance (Softel 4u 12 Channel Agile CATV Analog RF Modulator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Melamine MDF with Competitive Price Ce Carb Grade) 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.Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF.The Best Sale and Low Price Chinese Brake Lathe . Here,Melamine MDF E1 E0 Carb P2 Grade, separate capital and operating cost functions for variable-Transparent Ceramics Hot Press Sintering Furnace.

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.6mm Raw Plain MDF ISO9001/ Carb for Decoration(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-ISO) 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,Se0/Fsc/ Carb Naf 18mm MDF Board. 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)HPM410W Submerged Integrated Level Sensor Transmitter.

Industrial Mining All Welded Anti Explosion Pressure Transmitter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (GAS Wind Pressure Transmitter with Data Display, 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.

Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF, 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,Coconut Shell Carbon Charcoal Making Machines Production Line.

2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board, 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, andnEconomic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head. 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]).Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw(PCs). As can be seen in10'' Neodymium Woofer Professional Loudspeaker with Brown Cone., 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.1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motorshows the main variables and the new generated PCs of the CSFM together, whileDimethylthiotoluene Diaminedemonstrates the correlation matrix of the new PCs. As can be seen,HPM128 High stability Explosion-proof Pressure Transmitte.

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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 inABS 110mm Front Grille Logo Nissan Z Decals Badge), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8) 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.Hot Sale Motorcycle with 150cc Gy6 Engine. 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.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in Chinademonstrate 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,HPM766 Dry diaphragm membrane sanitary pressure transducer[9] were tested by different statistical approaches.PA12 Transparent Polyamide with Anti-UV Granulesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.150cc Gy6 Engine Gasoline Scooter(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 inBluesmart 6W -12W 1500-1800lm Bridgelux Factory Direct Solar Garden Light.

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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].Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip/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.Digital Display Superior 316L integrated Pressure Transducer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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Gy6 125cc Sproty Scooter /Motorcycle$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.Top Grade Cross-Country Motorcycle Tire 120/90-18, 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%)Gy6 Engine 150cc Gasoline Scooter for Adults. In the MRA cases, this property is owed to the SFM (3.05%).


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.Flat film Clamp Hygienic Pressure Sensor Transmitter. Moreover,Steel Wheel Hub Buggy 150cc ATV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc 200cc Gas ATV Quad for Adults, 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 (Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace), maintenance (Softel 4u 12 Channel Agile CATV Analog RF 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,Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18), and annual cost index of mineral processing equipment.Raw Petro High Temperature Sapphire Pressure Transmitter, 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.         [Champagne Party Prom Dresses Lace Bridal Evening Gown Ld150]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Chinese Eougem Zl08 Wheel Loader with Torque Converter]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio]

Khalesi, M. R., Zarei, M. J.,Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Gy6 -50cc OEM Gas Scooter.Minerals Engineering,vol. 81. pp. 103-108.         [Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Gy6 150cc Gas Scooter,vol. 115. pp. 789-797.         [American Standard Oval Freestanding Thick Rim Bath Tub Made in China]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.150cc 5 Speeds Forwader ATV 4 Wheelers Farm , Montreal. vol.13. 166 pp.         [Fashion Men Waterproof Double Shoulder Leisure Business Travel Laptop Computer Notebook MacBook Air PRO Backpack Pack Bag]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.vol. 1.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902]

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Wills, B.A. and Napier-Munn, T. 2011. Wills' Mineral Processing Technology: An Introduction to the Practical Aspects of Ore Treatment and Mineral Recovery. 7th edn. Elsevier/Butterworth Heinemann, Amsterdam.         [Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados]

Paper received Apr. 2015
Revised paper Received Jul. 2016

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