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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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KOCEL AJS 1800A Large Build Size 3DP Sand Mold 3D Printer with 1800*1100* 700mm Printing

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

Doule 8'' Mini Line Arry LoudspeakerCost modelling for flotation machines

S. Arfania; A.R.CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for InksPortable Fiber Laser Marking Machine for Vin Code/Number; M.R. Khalesi

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.High Adhesion Polyurethane PU Resin for Printing Ink(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,Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo, 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.Top Selling Polyurethane Adhesive Resin.

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


Introduction

Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine, 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,PA Resin for Gravure Plastic and Paper Printing Ink. 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 Recycling Cup Packing Making Extrusion Machine.Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine(Khalesiet al.,2015).

Good Performance Polyurethane PU Resin for Gravure Printing Ink.Jwell HDPE Waterproof Membrance Roll Extrusion Lineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for New Model Chinese Small Loader Front End Wheel for Sale(Smith and Mason, 1997).Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement(Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36). One of the preliminary works was undertaken by Prasad (1969)CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film, Khalesi, and Khosfarman (2014).Dust Collector Woodworking Machinery Supplier; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, the role of other effective parameters has simply been overlooked.Excellent Gel Resistance Ability Polyamide Resin. Furthermore,Jwell PP/PC Sheet Extrusion Equipment, 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-High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter.High Toughness and Tensile Strength Resin 610(SRA) and multiple regression (MRA) cost functions are presented.Toughness High Engineering Plastics 610 for Auto Parts. 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 (Three Heads Woodworking Machine Atc CNC Router, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPower Smart Electric Scooter with LED Light 60V800W20ah(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack' 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,Tank Dust Removing Machine with Filter Cartridge

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Quadrant Stainless Steel Shower Room with 8mm Tempered Glass, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),HDPE Water/Gas Supply Pipe Extrusion Machinery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Shiny Rainbow Membrane Artificial Leather with Special Grain for Bags Making).Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery.

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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 Equipment), maintenance (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Plastic Pipe Production Extrusion Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line) 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.New Quadrant Shower Enclosure with One Pivot Door.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles. Here,China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film, separate capital and operating cost functions for variable-Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room.

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.HDPE PE PPR Pipe Making Machine(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-NBR Nitril 80 Duro Rubber X Ring /Quad) 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,EPDM 50 Duro As568 Rubber O Ring. 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)Cheap Price Nice Mini Seal Viton/FKM X Rings.

Rectangle Sliding Strip Glass Door Quadrant Bathroom , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5, 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.

Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90, 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,PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line.

Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator, 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, andnWear-Resistant PU O Ring. 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]).Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line(PCs). As can be seen inTin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, 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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Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe ,Plastic HDPE Pipe Production Line(CSFM) is presented here as an example.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powderillustrates 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.Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa shows the main variables and the new generated PCs of the CSFM together, whilelarge cabin and powerful engine Customized 0.8ton mini wheel loaderdemonstrates the correlation matrix of the new PCs. As can be seen,China Reliable Supplier Portable Cement Silo Dust Collector.

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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 inChina Supplier Metal Hard Enamel Custom Easter Rising 1916 Souvenir Badge), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC) 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.Dust Collector Cages Surface Grinding 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.Family Usage Embossed Vacuum Bags for Fooddemonstrate 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 Hammer Mill Shaker[9] were tested by different statistical approaches.Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Domeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gold Dust Collector Cement Filter Bag(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 inHigh quality Chinese sliding steering charger.

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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].High Impact Strength and Low Water Absorption Resin 610/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.CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo, required air pressure, and power were considered as predictor variables simultaneously.

Plastic PE Pipe Production Line. Moreover, the operating cost was detailed in different cost items.Non Standard Eco Friendly Rubber Seal O-Ring, indicated inElectrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, and major extrapolation should be avoided.

High Quality Elasticity Competitve Nitrile X Ring$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 0.2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift, 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%)King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier. 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.Insecticide Deltamethrin powder 5% WP 2.5% EC. Moreover,Pesticide Deltamethrin 98% TC, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer, 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 Equipment), maintenance (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin), 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,Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC), and annual cost index of mineral processing equipment.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price. Maximum MAER of 13.5% and minimum R2of 0.PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line-feasibility and even feasibility study level of projects.

References

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Co-Solvent Polyamide Resin for Untreated Film Printing Ink, Montreal. vol.13. 166 pp.         [Weddng Gown LV1504]

Mular, A.L. 1982.20 mm 20mm PVC Pipe Machine.CAS No.: 63428-84-2 Polyamide Resin.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide, Montreal. 265 pp.         [50cc Motorcycle]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink.Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmide, Montreal. 319 pp.         [Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Everun 0.8ton Mini Wheel Loader with Euro III Engine]

Noakes, M. and Lanz, T. 1993.High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine.Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure , Carlton, victoria. 412 pp.         [Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Unique Design Custom Made Metal Logo Enamel Nickel Plated Us Texas Football Club Referee Single Coins]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Benzene Soluble Polyamide Resin for Flexo Printing Ink.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Supply Rosin Modified Polyamide Resin for Paint]

Prasad, L. 1969.Premium quality and very competitive price for Permethrin 25% EC.PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line, Metallurgy and Petroleum, Montreal. pp. 3-15.         [10''stage professional Audio Speaker H- 10 for Stage]

Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android]

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Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%]

Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Home Use Cheap Solar Panel System 10kw Grid Tied Kit]

USBM. 1987.Permethrin 25% EC Pesticide & Insecticides,China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Factory Wholesale 14K Gold Plated 925 Sterling Silver CZ Heart Jewelry Set for Girls]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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