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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

High Quality Solar PV Grid- Tied InvertersCost modelling for flotation machines

S. Arfania; A.R.Hot Sale Mini High Frequency 25kw Induction Heater PriceYn725 Wheel Loader 25kw Mini; 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.Convex Series Probe Type Wireless Mini Ultrasound Scanner(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,2ND Generation Ultrasound Bone Densitometer, 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 Selling 2ND Generation Ultrasound Bone Densitometer.

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


Introduction

Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash, 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,High Quality Economic Ultrasound a/B Scan for Ophthalmology . 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,Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye.Ophthalmic a Scan and Pachymeter Combined Unit(Khalesiet al.,2015).

Ophthalmic Optical Pachymeter & Biometer / a Scan .1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifieret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint(Smith and Mason, 1997).Roadside Emergency Set Auto Car Tool Kit(1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor). One of the preliminary works was undertaken by Prasad (1969)SA831r Outdoor Return Path CATV Trunk Amplifier, Khalesi, and Khosfarman (2014).2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable Induction Heater for Crystal Growth, the role of other effective parameters has simply been overlooked.Dry diaphragm membrane sanitary pressure transducer. Furthermore,Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale, 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-High Frequency Induction Heater .Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace(SRA) and multiple regression (MRA) cost functions are presented.Softel 4u 12 Channel Agile CATV Analog RF Modulator. 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 (Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDimethylthiotoluene Diamine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car' 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,Transparent Ceramics Hot Press Sintering Furnace

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,6mm Raw Plain MDF ISO9001/ Carb for Decoration, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),ISO(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (8mm Waterproof PVC Vinyl Flooring for Commercial).Se0/Fsc/ Carb Naf 18mm MDF Board.

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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 (HPM410W Submerged Integrated Level Sensor Transmitter), maintenance (Industrial Mining All Welded Anti Explosion Pressure Transmitter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,GAS Wind Pressure Transmitter with Data Display.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Coconut Shell Carbon Charcoal Making Machines Production Line) 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.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. Here,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, separate capital and operating cost functions for variable-Glue E1 Carb Plain Mositure-Proof 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.Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification(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-Draught Fan Digital LED Micro Air Wind Pressure Sensor) 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,HPM128 High stability Explosion-proof Pressure Transmitte. 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)Compressor Low Cost Small Type Pressure Transducer.

Hot Sale Motorcycle with 150cc Gy6 Engine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (HPM766 Dry diaphragm membrane sanitary pressure transducer, 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.

150cc Gy6 Engine Gasoline Scooter, 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,Gy6 Engine 150cc Scooter.

Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip, 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, andnDigital Display Superior 316L integrated Pressure Transducer. 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 Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp(PCs). As can be seen inCAS: 74- 79 -3 Amino Acid L-Arginine, 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 125cc Sproty Scooter /Motorcycle,Top Grade Cross-Country Motorcycle Tire 120/90-18(CSFM) is presented here as an example.New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TVillustrates 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.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in Chinashows the main variables and the new generated PCs of the CSFM together, whilePA12 Transparent Polyamide with Anti-UV Granulesdemonstrates the correlation matrix of the new PCs. As can be seen,Gy6 Engine 150cc Gasoline Scooter for Adults.

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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 in7'' CCTV), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5kw Solar PV Kit Power Gird Tied Inverter) 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.Steel Wheel Hub Buggy 150cc ATV. 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.Chinese Eougem Zl08 Wheel Loader with Torque Converterdemonstrate 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,150cc 200cc Gas ATV Quad for Adults[9] were tested by different statistical approaches.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audioshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18(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 inSolar Power Light Kit 15W 30W Lighting for Home System Global Sunrise Lights.

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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].Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale/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.EEC Euro 5 Gy6 -125cc Motorcycle Scooters; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2ND Generation Ultrasound Bone Densitometer, required air pressure, and power were considered as predictor variables simultaneously.

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Gy6 -50cc OEM Gas Scooter$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 0.150cc off Road Utility ATV with Reverse , 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%)Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids. 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 150cc Gasoline Scooter. Moreover,Zongshen 150cc Cargo Tricycle with Top Cover, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gy6 150cc 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 (HPM410W Submerged Integrated Level Sensor Transmitter), maintenance (Industrial Mining All Welded Anti Explosion Pressure Transmitter), 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 5 Speeds Forwader ATV 4 Wheelers Farm ), and annual cost index of mineral processing equipment.150cc Gy6 Engine Automatic ATV Sports Quad Bike, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot Selling Electric Race Vietnam Motorcycle Tire . Maximum MAER of 13.5% and minimum R2of 0.Gy6 150cc Gasoline Scooter-feasibility and even feasibility study level of projects.

References

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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.         [Joneng brand stainless steel valves and food processing pipe fittings]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [American Standard Oval Freestanding Thick Rim Bath Tub Made in China]

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Khalesi, M. R., Zarei, M. J.,Hot Sale Mini High Frequency 25kw Induction Heater Price, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-China 150cc Gy6 Gasoline Scooter.Minerals Engineering,vol. 81. pp. 103-108.         [Gy6 -50cc Scooter]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Euro 4 Certificate, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles]

Lashgari, A.2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, A.R. 2013.High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light,150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.,vol. 23. pp. 441-446.         [Two-Tone Porcelain Mug of Syb097]

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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.         [Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Performance Motorcycle Tire for Senegal ,vol. 115. pp. 789-797.         [Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Dimer Acid Based Polyamide Resin for The Epoxy Material]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Double Rear Tyre Tricycle with 300cc Water Cooling Engine, Montreal. vol.13. 166 pp.         [Customized Outdoor Digital Waterproof Signage 86inch Kiosk Advertising Screen Display Totem WiFi]

Mular, A.L. 1982.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo .Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad.12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories, Montreal. 265 pp.         [Underwater Light]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.300cc Five Wheel Gas Cargo 3 Motorcycle for Adults .Portable Automatic Ultrasound Bone Analyzer Densitometer.12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories, Montreal. 319 pp.         [PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.300cc New Classic Cheap Cargo Tricycle .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Best Price Food Tin Metal Box Clip Lid Candy Can]

Noakes, M. and Lanz, T. 1993.Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 .HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond, Carlton, victoria. 412 pp.         [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]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Ophthalmic Pachymeter .vol. 1.6A Grade Indian Beard, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902]

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Prasad, L. 1969.50W LED Bulb Marking.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados]

HPM766 Dry diaphragm membrane sanitary pressure transducer, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Flexible Label Laser Marking Machine for Airbag Warning Labels.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine]

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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.         [Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Automatic Thermostatic Vulcanizer for Sale ]

Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [New 110cc 125cc 150cc Mini Jeep Willys]

USBM. 1987.WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe,Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Yingjiao Factory Manufacturer OEM PSP PRO Charger DC Adapter]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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