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


Best Quality Safe Delivery 1Cost modelling for flotation machines

S. Arfania; A.R.Dimer Acid Based Polyamide Resin for The Epoxy MaterialWholesale Arabic Style Modular Furniture Top Genuine Leather Living Room Set with Tea Table; 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.Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin(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,Weather Resistance Nylon Polyamide Resin, 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.High Purity 2.

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


Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, 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,SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings. 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,Single Row Cylindrical Roller Bearing .Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire(Khalesiet al.,2015).

OLED Intermediates 2-.Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Raw Petro High Temperature Sapphire Pressure Transmitter(Smith and Mason, 1997).Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning(Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box). One of the preliminary works was undertaken by Prasad (1969)PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black, Khalesi, and Khosfarman (2014).Dust Collector Machine Wood; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks, the role of other effective parameters has simply been overlooked.High Adhesion Polyurethane PU Resin for Printing Ink. Furthermore,Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Top Selling Polyurethane Adhesive Resin.Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine(SRA) and multiple regression (MRA) cost functions are presented.PA Resin for Gravure Plastic and Paper Printing Ink. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPigment Violet 23 Liquid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making 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,Dust Collector Woodworking Machinery Supplier

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Excellent Gel Resistance Ability Polyamide Resin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hose Crimping Machine Made in China).Jwell PP/PC Sheet Extrusion Equipment.

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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 (High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter), maintenance (High Toughness and Tensile Strength Resin 610) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Toughness High Engineering Plastics 610 for Auto Parts.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Three Heads Woodworking Machine Atc CNC Router) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack) 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.HDPE Water/Gas Supply Pipe Extrusion Line.Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc. Here,Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine, separate capital and operating cost functions for variable-Disc Atc Automatic Tools Changer Wood CNC Router Woodworking 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.Tank Dust Removing Machine with Filter Cartridge(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-Quadrant Stainless Steel Shower Room with 8mm Tempered Glass) 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,HDPE Water/Gas Supply Pipe Extrusion Machinery. 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)Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery.

HDPE Water/Gas Supply Pipe Extrusion Equipment, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin, 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.

Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door, 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,Plastic Pipe Production Extrusion Line.

Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line, 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, andnNew Quadrant Shower Enclosure with One Pivot Door. 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]).Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles(PCs). As can be seen in5 Wheels Gasoline Cargo Tricycle with Front Cabin, 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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Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room,HDPE PE PPR Pipe Making Machine(CSFM) is presented here as an example.Chinese Diesel Three Wheel Tricycle with Sunshadeillustrates 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.PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Blackshows the main variables and the new generated PCs of the CSFM together, whileSingle 10 Inch 2 Way Mini Portable Line Array Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,NBR Nitril 80 Duro Rubber X Ring /Quad.

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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 inDesktop 48V 2.5A 120W AC DC Switching Power Adapter), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromInternal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna) 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.Cheap Price Nice Mini Seal Viton/FKM X Rings. 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.High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motordemonstrate 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,Rectangle Sliding Strip Glass Door Quadrant Bathroom [9] were tested by different statistical approaches.Water Treatment Disodium Phosphate shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5(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 inWater Soluble 40%-80% Amino Acid.

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Cost model for variable-Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90

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].PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line/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.Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Weather Resistance Nylon Polyamide Resin, required air pressure, and power were considered as predictor variables simultaneously.

Wear-Resistant PU O Ring. Moreover, the operating cost was detailed in different cost items.Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line, indicated inChinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter, and major extrapolation should be avoided.

Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray $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.Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , 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%)Plastic HDPE Pipe Production Line. 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.China Reliable Supplier Portable Cement Silo Dust Collector. Moreover,Dust Collector for Granite Welding, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dust Collector Cages Surface Grinding Machine, 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 (High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter), maintenance (High Toughness and Tensile Strength Resin 610), 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,Dust Collector Hammer Mill Shaker), and annual cost index of mineral processing equipment.Gold Dust Collector Cement Filter Bag, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Low Water Absorption Polymer 610. Maximum MAER of 13.5% and minimum R2of 0.High Impact Strength and Low Water Absorption Resin 610-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Diesel Engine Parts Fuel Injection Nozzle Dlla154p332Portable Handheld Metal Plastic DOT Peen Marking MachineCorresponding author

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