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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

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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.Dust Collector Machine Wood(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,CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks, 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 Adhesion Polyurethane PU Resin for Printing Ink.

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


Introduction

Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo, 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,Top Selling Polyurethane Adhesive Resin. 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,Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine.PA Resin for Gravure Plastic and Paper Printing Ink(Khalesiet al.,2015).

Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine.Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box(Smith and Mason, 1997).Good Performance Polyurethane PU Resin for Gravure Printing Ink(Portable Fiber Laser Marking Machine for Vin Code/Number). One of the preliminary works was undertaken by Prasad (1969)Jwell HDPE Waterproof Membrance Roll Extrusion Line, Khalesi, and Khosfarman (2014).Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film, the role of other effective parameters has simply been overlooked.Dust Collector Woodworking Machinery Supplier. Furthermore,Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, 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-Excellent Gel Resistance Ability Polyamide Resin.Jwell PP/PC Sheet Extrusion Equipment(SRA) and multiple regression (MRA) cost functions are presented.High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter. 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 (High Toughness and Tensile Strength Resin 610, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBrazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Toughness High Engineering Plastics 610 for Auto Parts' 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,Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking 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,Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tank Dust Removing Machine with Filter Cartridge(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (in-Ground Scissor Lift for Heavy Truck).Quadrant Stainless Steel Shower Room with 8mm Tempered Glass.

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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 (HDPE Water/Gas Supply Pipe Extrusion Machinery), maintenance (Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,HDPE Water/Gas Supply Pipe Extrusion Equipment.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door) 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.Plastic Pipe Production Extrusion Line.Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line. Here,New Quadrant Shower Enclosure with One Pivot Door, separate capital and operating cost functions for variable-Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles.

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.China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film(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 Framed Grey Glass Shower Enclosure Sliding Door Simple Room) 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 PE PPR Pipe Making Machine. 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)NBR Nitril 80 Duro Rubber X Ring /Quad.

EPDM 50 Duro As568 Rubber O Ring, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheap Price Nice Mini Seal Viton/FKM X Rings, 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.

Rectangle Sliding Strip Glass Door Quadrant Bathroom , 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,Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5.

Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90, 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, andnPVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line. 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]).Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator(PCs). As can be seen inJwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient, 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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Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line,Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray (CSFM) is presented here as an example.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power Systemillustrates 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 CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powdershows the main variables and the new generated PCs of the CSFM together, whileHotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa demonstrates the correlation matrix of the new PCs. As can be seen,Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe .

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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 inOcitytimes vitamin disposable vape pen lavender sleep melatonin diffuser), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorcar for Both Civilc and Police Using with 320cc Displacement) 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.China Reliable Supplier Portable Cement Silo Dust Collector. 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.Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycledemonstrate 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,Dust Collector for Granite Welding[9] were tested by different statistical approaches.Family Usage Embossed Vacuum Bags for Foodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dust Collector Cages Surface Grinding Machine(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 inBranded Free Diaper Samples Baby Nappies Diapers.

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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].Gold Dust Collector Cement Filter Bag/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.Low Water Absorption Polymer 610; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks, required air pressure, and power were considered as predictor variables simultaneously.

High Impact Strength and Low Water Absorption Resin 610. Moreover, the operating cost was detailed in different cost items.CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink, indicated inFast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%, and major extrapolation should be avoided.

Plastic PE Pipe Production 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.Non Standard Eco Friendly Rubber Seal O-Ring, 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 Elasticity Competitve Nitrile X Ring. 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.2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift. Moreover,King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Insecticide Deltamethrin powder 5% WP 2.5% EC, 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 (HDPE Water/Gas Supply Pipe Extrusion Machinery), maintenance (Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery), 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,Pesticide Deltamethrin 98% TC), and annual cost index of mineral processing equipment.King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC. Maximum MAER of 13.5% and minimum R2of 0.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800-feasibility and even feasibility study level of projects.

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Cheap Price Nice Mini Seal Viton/FKM X Rings, 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.         [Cheap Hollow Concrete Brick Making Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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