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


5kw Grid Tied Solar Inverter Three Phase for Home UseCost modelling for flotation machines

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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.Low Failure Rate High Efficiency Induction Metal Heating 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,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, 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.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe.

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


Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 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,Hot Sale Mini High Frequency 25kw Induction Heater 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,Convex Series Probe Type Wireless Mini Ultrasound Scanner.2ND Generation Ultrasound Bone Densitometer(Khalesiet al.,2015).

Hot Selling 2ND Generation Ultrasound Bone Densitometer.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelashet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks(Smith and Mason, 1997).High Quality Economic Ultrasound a/B Scan for Ophthalmology (Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable). One of the preliminary works was undertaken by Prasad (1969)Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye, Khalesi, and Khosfarman (2014).Ophthalmic a Scan and Pachymeter Combined Unit; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ophthalmic Optical Pachymeter & Biometer / a Scan , the role of other effective parameters has simply been overlooked.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier. Furthermore,Roadside Emergency Set Auto Car Tool Kit, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-SA831r Outdoor Return Path CATV Trunk Amplifier.2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim(SRA) and multiple regression (MRA) cost functions are presented.Portable Induction Heater for Crystal Growth. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Dry diaphragm membrane sanitary pressure transducer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1-Bromo-3(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale' 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,Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale and Aluminium Alloy Case 55 Inch Android Smart 4K UHD LED TV LCD Display for House Hotel).The Best Sale and Low Price Chinese Brake Lathe .

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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 (Melamine MDF E1 E0 Carb P2 Grade), maintenance (Transparent Ceramics Hot Press Sintering Furnace) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,6mm Raw Plain MDF ISO9001/ Carb for Decoration.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (ISO) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Se0/Fsc/ Carb Naf 18mm MDF Board) 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.HPM410W Submerged Integrated Level Sensor Transmitter.Industrial Mining All Welded Anti Explosion Pressure Transmitter. Here,GAS Wind Pressure Transmitter with Data Display, separate capital and operating cost functions for variable-Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF.

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.Coconut Shell Carbon Charcoal Making Machines Production Line(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-2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board) 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,Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head. 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)Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw.

Glue E1 Carb Plain Mositure-Proof MDF, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, 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.

Draught Fan Digital LED Micro Air Wind Pressure Sensor, 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,HPM128 High stability Explosion-proof Pressure Transmitte.

Compressor Low Cost Small Type 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, andnHot Sale Motorcycle with 150cc Gy6 Engine. 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]).HPM766 Dry diaphragm membrane sanitary pressure transducer(PCs). As can be seen inEEC 125/300cc Euro 5V Max Scooter-Alex One, 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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Gy6 Engine 150cc Scooter,Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip(CSFM) is presented here as an example.Gy6 150cc Gasoline Scooterillustrates 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.Manufacturer Supply Bdo Novel Intermediate 1shows the main variables and the new generated PCs of the CSFM together, whileProfessional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816demonstrates the correlation matrix of the new PCs. As can be seen,Digital Display Superior 316L integrated Pressure Transducer.

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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 inSweater for Ladies Knitted Dress Ak20843), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from100% Copper Wire St-7.5kw Single Phase Alternator Factory Price) 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.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light. 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.PA System LED Light Trolley Tws Woofer Speaker Party Audiodemonstrate 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 125cc Sproty Scooter /Motorcycle[9] were tested by different statistical approaches.Diesel Engine with Four-Stroke Used for Cylinder Generator Setshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Top Grade Cross-Country Motorcycle Tire 120/90-18(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 inLovely Hamster Backpack Children Animal School Bags.

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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].Flat film Clamp Hygienic Pressure Sensor Transmitter/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.Steel Wheel Hub Buggy 150cc ATV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, required air pressure, and power were considered as predictor variables simultaneously.

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Raw Petro High Temperature Sapphire Pressure Transmitter$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.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, 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%)EEC Euro 5 Gy6 -125cc Motorcycle Scooters. 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.Gy6 Engine Gas Scooter. Moreover,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gy6 -50cc OEM Gas Scooter, 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 (Melamine MDF E1 E0 Carb P2 Grade), maintenance (Transparent Ceramics Hot Press Sintering Furnace), 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,150cc off Road Utility ATV with Reverse ), and annual cost index of mineral processing equipment.Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Gy6 150cc Gas Scooter.150cc 5 Speeds Forwader ATV 4 Wheelers Farm ,vol. 46, no.6. pp. 559-562.         [Convex Series Probe Type Wireless Mini Ultrasound Scanner]

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.         [Hot Selling Colorful Stoneware Mug with LFGB Certification Water New Design]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker]

Khalesi, M. R., Zarei, M. J.,Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-150cc Gy6 Engine Automatic ATV Sports Quad Bike.Minerals Engineering,vol. 81. pp. 103-108.         [458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Hot Selling Electric Race Vietnam Motorcycle Tire , neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Snow Mobile Rubber Track Gas Adult Ski Scooter]

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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.         [China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.China 150cc Gy6 Gasoline Scooter,vol. 115. pp. 789-797.         [CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Raw Petro High Temperature Sapphire Pressure Transmitter]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Euro 4 Certificate, Montreal. vol.13. 166 pp.         [2021 Deep Tissue Massage Gun/ Vibration Device /Electric Muscle Gun with LCD Scre]

Mular, A.L. 1982.2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., Montreal. 265 pp.         [2021 New Arrival Malaysian Eyebrow]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.High Performance Motorcycle Tire for Senegal .Double Rear Tyre Tricycle with 300cc Water Cooling Engine.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., Montreal. 319 pp.         [Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Waterproof 350W Osram IP65 DMX Outdoor Light Beam Moving Head Stage Lighting]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.300cc Five Wheel Gas Cargo 3 Motorcycle for Adults .vol. 1.Portable Automatic Ultrasound Bone Analyzer Densitometer, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [6000W Single Phase Inverter Grid Tied Home Solar System]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:300cc New Classic Cheap Cargo Tricycle .Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [EPDM 50 Duro As568 Rubber O Ring]

Prasad, L. 1969.Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 .HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Metal Cans 0.925 Liter Tin Barrel for Packaging Container]

Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Ophthalmic Pachymeter .Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3]

Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Plywood Banane Ki Machine]

Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [High Quality Cheap 200cc and 150cc Farm Utility ATV]

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USBM. 1987.6A Grade Indian Beard,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Customed Outdoor Hot Sales Lighted LED Car Logo Sign]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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