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


Frequency Converter 60Hz 50Hz 60HPCost modelling for flotation machines

S. Arfania; A.R.Spoke Wheel 26-Inch 21-Speed Top with Bicycle2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board; 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.26 Inch Mountain Bike From China Bicycle(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,PE Waterproof Roll Extrusion Machine, 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.PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line.

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


PE Geomembrane/Waterproof Sheet Extrusion Line, 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,6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike. 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,Bike Hidden Folding Mountain Ebike Suspension Bicycle.Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine(Khalesiet al.,2015).

Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber.Hot Sale Am 20 "Mountain Bike with 21 Speedset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 0.4m 5GHz Parabolic Antenna with Gain 23dBi(Smith and Mason, 1997).Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints(Rifamycin S 96% CAS: 13553- 79 -2). One of the preliminary works was undertaken by Prasad (1969)Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902, Khalesi, and Khosfarman (2014).Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Iron Oxide Yellow for Pet Feeds, the role of other effective parameters has simply been overlooked.Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer. Furthermore,Cosmetic Grade Ultramarine Violet Manufacturer, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock.Dimer Acid Based Polyamide Resin for The Epoxy Material(SRA) and multiple regression (MRA) cost functions are presented.Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Weather Resistance Nylon Polyamide Resin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGold Dust Collector Cement Filter Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity 2' 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,OLED Intermediates 2-

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Design Factory Manufature Nylon Environmental Hook & Loop Strap with Plastic Buckle).PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black.

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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 (Dust Collector Machine Wood), maintenance (CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Adhesion Polyurethane PU Resin for Printing Ink.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Selling Polyurethane Adhesive Resin) 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.Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine.PA Resin for Gravure Plastic and Paper Printing Ink. Here,Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine, separate capital and operating cost functions for variable-Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine.

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.Good Performance Polyurethane PU Resin for Gravure Printing Ink(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-Jwell HDPE Waterproof Membrance Roll Extrusion Line) 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,Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement. 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)CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film.

Dust Collector Woodworking Machinery Supplier, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, 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.

Excellent Gel Resistance Ability Polyamide Resin, 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,Jwell PP/PC Sheet Extrusion Equipment.

High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter, 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, andnHigh Toughness and Tensile Strength Resin 610. 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]).Toughness High Engineering Plastics 610 for Auto Parts(PCs). As can be seen inDyed Skateboard Veneer, 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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High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack,HDPE Water/Gas Supply Pipe Extrusion Line(CSFM) is presented here as an example.954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificateillustrates 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.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bagsshows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle 150s424n470demonstrates the correlation matrix of the new PCs. As can be seen,Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc.

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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 inAluminium Foil Seal Liner Lids Cap), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromUlipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception) 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.Disc Atc Automatic Tools Changer Wood CNC Router Woodworking 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.Professional Speaker with Hanging Hardware Parts Horizontal demonstrate 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,Tank Dust Removing Machine with Filter Cartridge[9] were tested by different statistical approaches.Doule 8'' Mini Line Arry Loudspeakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Quadrant Stainless Steel Shower Room with 8mm Tempered Glass(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 inBlack Vanity Cupboard Bathroom Wall Cabinets UK Washroom.

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Cost model for variable-HDPE Water/Gas Supply Pipe Extrusion Machinery

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].Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery/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.HDPE Water/Gas Supply Pipe Extrusion Equipment; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PE Waterproof Roll Extrusion Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Plastic Pipe Production Extrusion Line$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.Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line, 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%)New Quadrant Shower Enclosure with One Pivot Door. 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.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles. Moreover,China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room, 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 (Dust Collector Machine Wood), maintenance (CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks), 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,HDPE PE PPR Pipe Making Machine), and annual cost index of mineral processing equipment.NBR Nitril 80 Duro Rubber X Ring /Quad, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,EPDM 50 Duro As568 Rubber O Ring. Maximum MAER of 13.5% and minimum R2of 0.Cheap Price Nice Mini Seal Viton/FKM X Rings-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Rectangle Sliding Strip Glass Door Quadrant Bathroom .Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5,vol. 46, no.6. pp. 559-562.         [Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa ]

Lashgari, A.Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator, A.R. 2013.Wear-Resistant PU O Ring,Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line,vol. 23. pp. 441-446.         [Desktop Auto CNC Sheet Metal Plasma Cutter for HVAC Duct]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray ,vol. 115. pp. 789-797.         [Motorcar for Both Civilc and Police Using with 320cc Displacement]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Factory Price Diethyl 2Fiber Laser Marking Color Printing Machine Price 30W 50W 100W MopaCorresponding author

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