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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

Mylar Barrier Exit Waterproof Cr BagCost modelling for flotation machines

S. Arfania; A.R.Potassium 2Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control; 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.PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System(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,Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2, 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.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0.

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


Introduction

Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2, 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,Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2. 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,Professional Speaker System Single 15 Inch High Power Line Array Aw15.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio(Khalesiet al.,2015).

Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered.Hench Hot Sales Raw Material Powder Oxytetracyclineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 18mm Embossed Melamine Faced Commercial Plywood for Furniture Making(Smith and Mason, 1997).New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020(500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical). One of the preliminary works was undertaken by Prasad (1969)Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free, Khalesi, and Khosfarman (2014).Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, the role of other effective parameters has simply been overlooked.2-Aminoanthraquinone CAS No 117- 79 -3. Furthermore,Food Additives L-Arginine with Low Price, 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-Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material.Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free(SRA) and multiple regression (MRA) cost functions are presented.China Supply 1. 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 (China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTractor loader/ mini loader with four wheels for loading(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ck6150 Siemens Controller System Horizantal Hobby High Quality Automatic CNC Lathe).CAS 79 -57-2 Oxytetracycline.

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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 (Azd3759 CAS No. 1626387-81-2), maintenance (Food Additives L-Arginine with Top Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (99% Purity 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac) 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.High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales.2-Aminoanthraquinone CAS No 117- 79 -3. Here,High Quality Tretinoin 302- 79 -4 with Good Price, separate capital and operating cost functions for variable-3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1.

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.Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China(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-High Fidelity Professional Line Array Speaker ) 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,N. 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)Vitamin a Palmitate CAS 79 -81-2.

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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.

40wx2 10 " Portable PS Series Party Speaker, 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,100% CAS 79 -57-2 Oxytetracycline Powder.

New Arrival Mr Series Audio Mixer with DSP Mr-12fx, 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, andnCoating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality. 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]).Powered Speaker System for Home Theater(PCs). As can be seen inStage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220, 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.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker Systemshows the main variables and the new generated PCs of the CSFM together, whileRF Skin Tightening Face Lifting Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Best Quality Skin Care Pure Tretinoin 302- 79 -4.

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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 inManufacturer Enamel Printing Aluminum Badge Bar Pin Metal Car Logo No Minimun), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10'' Red Steel Woofer) 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.Phthalaldehyde CAS 643- 79 -8. 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.Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealingdemonstrate 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,Chlorhexidine Diacetate CAS No 206986- 79 -0[9] were tested by different statistical approaches.Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shippingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CAS 79 -14-1 Glycolic Acid 70%(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 inGreengoods Sanitary Ware Acrylic Freestanding Bathtub Flower Color.

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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].Professional 10 " Aluminum Speaker Basket/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.New Arrival Mr Series Audio Mixer with DSP Mr-10fx; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2, required air pressure, and power were considered as predictor variables simultaneously.

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Karaoke Wireless Portable Wooden Bluetooth PA Speaker$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 0.12" Line Array Loud Speaker Sound System Professional PA, 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%)15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker. 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.Professional Line Array PA System S1210 Sound. Moreover,Cosmetic Material 99% Purity Tretinoin Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, 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 (Azd3759 CAS No. 1626387-81-2), maintenance (Food Additives L-Arginine with Top Quality), 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,Spts), and annual cost index of mineral processing equipment.High Power DJ Sound Equipment System Line Array PA Speaker, and over- extrapolation could result in misguiding estimates.

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References

Camm, T.W. 1994.Outdoor Professional Audio Loudspeaker PA Stage Active Line Array.PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address,vol. 46, no.6. pp. 559-562.         [Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle ]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801]

Khalesi, M. R., Zarei, M. J.,Potassium 2, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4.Minerals Engineering,vol. 81. pp. 103-108.         [Active 10 " Line Array with Calss-D Amplifier and Built-in DSP]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Cosmetic Grade L-Arginine with Best Price, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Low Power Elevator Inverter 12kw with Controller]

Lashgari, A.Anti-Wrinkle and Aging Chemical Raw Materials, A.R. 2013.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery,Waterproof Childproof Ziplock Valve Bag,vol. 23. pp. 441-446.         [Nail Gel Polish 15ml]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate, Montreal. vol.13. 166 pp.         [1-3mm 3-5mm Calcium Chloride for Refrigerating Fluid]

Mular, A.L. 1982.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price.L-Arginine Powder Amino Acid Pure Manufacturer.White Powder Vitamin a for Food and Feed Grade, Montreal. 265 pp.         [China 300cc Adult Road Legal 2 Seat Pedal Go Kart]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.Professional Line Array Speaker Neodymium Af15.White Powder Vitamin a for Food and Feed Grade, Montreal. 319 pp.         [Yn725g Yineng Mini Wheel Loader]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage]

Noakes, M. and Lanz, T. 1993.Q210 Passive PA Speaker System.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient, Carlton, victoria. 412 pp.         [0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Melt Pump for Reaction Kettle]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Professional 24 Channels Digital Audio Mixer Console.vol. 1.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Skin Care Raw Material Vitamin a Palmitate Powder.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [0.75kw-11kw Three Phase 380V Frequency Inverter VFD]

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Best Price Diclofenac Sodium with High Quality, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Made in China PA Speaker System Three Way Loudspeakers.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Diesel Fuel Injection Nozzle Dlla160pn141]

Best Price Diclofenac Sodium with High Quality, 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.         [Hex Bolts]

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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.         [Cheap Price Speaker Wall Mount Bracket ]

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Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Overseas Warehouse Fast Delivery Organic Chemicals ]

USBM. 1987.Line Array Speaker Professional PA System Two Way Full Rang Passive ,Pyridinecas Number 110//86//1 Used as Chemical Reagent-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Good Quality Herbicide Cyhalofop-Butyl]

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.         [Disperse Violet 26 Dyes]

Paper received Apr. 2015
Revised paper Received Jul. 2016

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