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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

Power Smart Electric Scooter with LED Light 60V800W20ahCost modelling for flotation machines

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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.Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine(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,Good Performance Polyurethane PU Resin for Gravure 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.Jwell HDPE Waterproof Membrance Roll Extrusion Line.

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


Introduction

Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement, 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,CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film. 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,Dust Collector Woodworking Machinery Supplier.Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine(Khalesiet al.,2015).

Excellent Gel Resistance Ability Polyamide Resin.Jwell PP/PC Sheet Extrusion Equipmentet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor(Smith and Mason, 1997).High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter(Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans). One of the preliminary works was undertaken by Prasad (1969)High Toughness and Tensile Strength Resin 610, Khalesi, and Khosfarman (2014).Toughness High Engineering Plastics 610 for Auto Parts; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Three Heads Woodworking Machine Atc CNC Router, the role of other effective parameters has simply been overlooked.High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack. Furthermore,HDPE Water/Gas Supply Pipe Extrusion Line, 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-Automatic Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc.Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine(SRA) and multiple regression (MRA) cost functions are presented.Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine. 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 (Tank Dust Removing Machine with Filter Cartridge, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAllsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Quadrant Stainless Steel Shower Room with 8mm Tempered Glass' 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,Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Plastic Pipe Production Extrusion Line, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Arrival High Quality Alloy Metal Pin Cute Brooch).New Quadrant Shower Enclosure with One Pivot Door.

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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 (Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles), maintenance (China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (HDPE PE PPR Pipe Making Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (NBR Nitril 80 Duro Rubber X Ring /Quad) 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.EPDM 50 Duro As568 Rubber O Ring.Cheap Price Nice Mini Seal Viton/FKM X Rings. Here,Rectangle Sliding Strip Glass Door Quadrant Bathroom , separate capital and operating cost functions for variable-Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5.

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.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90(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-PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production 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,Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator. 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)Wear-Resistant PU O Ring.

Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray , 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.

Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe , 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 HDPE Pipe Production Line.

China Reliable Supplier Portable Cement Silo Dust Collector, 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 for Granite Welding. 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]).Dust Collector Cages Surface Grinding Machine(PCs). As can be seen inHotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa , 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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Gold Dust Collector Cement Filter Bag,Low Water Absorption Polymer 610(CSFM) is presented here as an example.3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificateillustrates 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.Motorcar for Both Civilc and Police Using with 320cc Displacementshows the main variables and the new generated PCs of the CSFM together, while15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DCdemonstrates the correlation matrix of the new PCs. As can be seen,High Impact Strength and Low Water Absorption Resin 610.

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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 inMixing Barrel Stamping Mold), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPublic Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome) 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.Plastic PE Pipe Production Line. 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%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,Non Standard Eco Friendly Rubber Seal O-Ring[9] were tested by different statistical approaches.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pumpshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Elasticity Competitve Nitrile X Ring(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 inHome Textiles Peacock Tail Chenille Upholstery Sofa Covering Fabric.

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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].King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier/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.Insecticide Deltamethrin powder 5% WP 2.5% EC; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Good Performance Polyurethane PU Resin for Gravure Printing Ink, required air pressure, and power were considered as predictor variables simultaneously.

Pesticide Deltamethrin 98% TC. Moreover, the operating cost was detailed in different cost items.King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer, indicated inHot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV, and major extrapolation should be avoided.

Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC$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.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800, 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 PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price. 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.PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line. Moreover,Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet , 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 (Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles), maintenance (China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film), 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,Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Line), and annual cost index of mineral processing equipment.Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Alcohol Solvent Polyamide Resin for Gravure Plastic Ink. Maximum MAER of 13.5% and minimum R2of 0.Polyamide Resin for Gravure Plastic and Paper Printing Ink-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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