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


Skin Renew Thermal RF & Fractional 2 in 1 MachineCost modelling for flotation machines

S. Arfania; A.R.Popular Alcohol Soluble Polyamide Resin for Gravure InkNordic-Style Latex Three-Person Fabric Sofa Small Household Removable Modern Simple Living Room; 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.Polyamide Resin with Benzene Soluble for Printing Inks(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,Alcohol Soluble Polyamide Resin for Printing Ink, 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.Supply Rosin Modified Polyamide Resin for Paint.

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


Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%, 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 Benzaldehyde with Fast Delivery. 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,Supply Alcohol Soluble Polyamide Resin for Ink.CAS No. 151103-09-2 4- (Khalesiet al.,2015).

Sophisticated Price of Polyamide Resin for Whosale.100% Purity Phenol Polyamide Resinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Metal Tinplate Container Engine Oil Can with Screw Cap(Smith and Mason, 1997).High Polyamide Resin(40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder). One of the preliminary works was undertaken by Prasad (1969)Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine, Khalesi, and Khosfarman (2014).Hot Sale Hy-688 Polyamide Resin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% High Purity Polyamide Resin for Ink, the role of other effective parameters has simply been overlooked.Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing. Furthermore,Polyamide Resin, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy.Geomembrane Making Machine(SRA) and multiple regression (MRA) cost functions are presented.Spoke Wheel 26-Inch 21-Speed Top with Bicycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (26 Inch Mountain Bike From China Bicycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PE Waterproof Roll Extrusion Machine' 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,Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale Am 20 "Mountain Bike with 21 Speeds(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (ABS 4WD for Toyota Body Sticker Car Emblem Badge).Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints.

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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 (Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902), maintenance (Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Iron Oxide Yellow for Pet Feeds.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cosmetic Grade Ultramarine Violet Manufacturer) 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.Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock.Dimer Acid Based Polyamide Resin for The Epoxy Material. Here,Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin, separate capital and operating cost functions for variable-Weather Resistance Nylon Polyamide Resin.

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.High Purity 2(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 Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam) 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,SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings. 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)Single Row Cylindrical Roller Bearing .

Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (OLED Intermediates 2-, 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.

Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710, 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,Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning.

PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black, 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, andnDust Collector Machine Wood. 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]).CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks(PCs). As can be seen inMedia Player Android 6.0 2g+16g Internet Smart TV Box, 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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Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo,Top Selling Polyurethane Adhesive Resin(CSFM) is presented here as an example.High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9illustrates 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.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5shows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter 60Hz 50Hz 60HPdemonstrates the correlation matrix of the new PCs. As can be seen,Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine.

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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 inCheap and Fine Semi Automatic Small Chocolate Enrobing Machinery), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGold Dust Collector Cement Filter Bag) 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.Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine. 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.Dyed Skateboard Veneerdemonstrate 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,Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine[9] were tested by different statistical approaches.Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Good Performance Polyurethane PU Resin for Gravure Printing Ink(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 in5 Way European PP Power Strip Extension Socket 16A 250V.

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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].Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement/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.CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Alcohol Soluble Polyamide Resin for Printing Ink, required air pressure, and power were considered as predictor variables simultaneously.

Dust Collector Woodworking Machinery Supplier. Moreover, the operating cost was detailed in different cost items.Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, indicated inDiesel Engine Parts Fuel Injection Nozzle 150s424n470, and major extrapolation should be avoided.

Excellent Gel Resistance Ability Polyamide Resin$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.Jwell PP/PC Sheet Extrusion Equipment, 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%)High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter. 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.High Toughness and Tensile Strength Resin 610. Moreover,Toughness High Engineering Plastics 610 for Auto Parts, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Three Heads Woodworking Machine Atc CNC Router, 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 (Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902), maintenance (Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect), 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,High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack), and annual cost index of mineral processing equipment.HDPE Water/Gas Supply Pipe Extrusion Line, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc. Maximum MAER of 13.5% and minimum R2of 0.Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine.Tank Dust Removing Machine with Filter Cartridge,vol. 46, no.6. pp. 559-562.         [Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15]

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.         [Portable Theragun/Deep Body Massage Gun Fitness Cordless 12V/24V]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [150cc Quad 4WD ATV for Adults]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception]

Khalesi, M. R., Zarei, M. J.,Popular Alcohol Soluble Polyamide Resin for Gravure Ink, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Quadrant Stainless Steel Shower Room with 8mm Tempered Glass.Minerals Engineering,vol. 81. pp. 103-108.         [China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery]

Kim, G.H., An, S.H., and Kang, K.I. 2004.HDPE Water/Gas Supply Pipe Extrusion Machinery, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Professional Speaker with Hanging Hardware Parts Horizontal ]

Lashgari, A.Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery, A.R. 2013.HDPE Water/Gas Supply Pipe Extrusion Equipment,45cm High Tray Toughened Glass Curved Quadrant Shower Cabin,vol. 23. pp. 441-446.         [Wholesale White Sublimation Blanks Product Ceramic Cup Coffee Mug Supplier 11oz]

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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.         [Portable Fiber Laser Marking Machine for Vin Code/Number]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door,vol. 115. pp. 789-797.         [Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Power Smart Electric Scooter with LED Light 60V800W20ah]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Plastic Pipe Production Extrusion Line, Montreal. vol.13. 166 pp.         [Battery Box Neon LED Decorative Creative Night Light]

Mular, A.L. 1982.Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line.New Quadrant Shower Enclosure with One Pivot Door.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles, Montreal. 265 pp.         [Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film.Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles, Montreal. 319 pp.         [Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.HDPE PE PPR Pipe Making Machine.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System]

Noakes, M. and Lanz, T. 1993.NBR Nitril 80 Duro Rubber X Ring /Quad.EPDM 50 Duro As568 Rubber O Ring, Carlton, victoria. 412 pp.         [Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Fashion Sports School Outdoor Travel Bag College RPET Kids Backpack]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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