GENERAL PAPERS

2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF BoardCost modelling for flotation machines

S. Arfania; A.R.PE Waterproof Roll Extrusion MachineRifamycin S 96% CAS: 13553- 79 -2; 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.PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line(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 Geomembrane/Waterproof Sheet Extrusion Line, 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 0.6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike.

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

Introduction

Bike Hidden Folding Mountain Ebike Suspension Bicycle, 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,Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine. 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,Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber.Hot Sale Am 20 "Mountain Bike with 21 Speeds(Khalesiet al.,2015).

Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop(Smith and Mason, 1997).Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect(Gold Dust Collector Cement Filter Bag). One of the preliminary works was undertaken by Prasad (1969)Iron Oxide Yellow for Pet Feeds, Khalesi, and Khosfarman (2014).Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cosmetic Grade Ultramarine Violet Manufacturer, the role of other effective parameters has simply been overlooked.Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock. Furthermore,Dimer Acid Based Polyamide Resin for The Epoxy Material, 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-Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin.Weather Resistance Nylon Polyamide Resin(SRA) and multiple regression (MRA) cost functions are presented.High Purity 2. 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 (Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFried Chicken Sweet Chili Sauce Food Packaging(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings' 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,Large Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dust Collector Machine Wood(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Moisture Proof Hot Sale Food Container Laminated Paper Board Lids for Wrapping).CAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inks.

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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 Adhesion Polyurethane PU Resin for Printing Ink), maintenance (Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Top Selling Polyurethane Adhesive Resin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA Resin for Gravure Plastic and Paper Printing Ink) 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 Recycling Cup Packing Making Extrusion Machine.Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine. Here,Good Performance Polyurethane PU Resin for Gravure Printing Ink, separate capital and operating cost functions for variable-Jwell HDPE Waterproof Membrance Roll Extrusion Line.

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

Excellent Gel Resistance Ability Polyamide Resin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell PP/PC Sheet Extrusion Equipment, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,High Toughness and Tensile Strength Resin 610.

Toughness High Engineering Plastics 610 for Auto Parts, 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).

whereC_eis the estimated cost,C_athe actual cost, andnThree Heads Woodworking Machine Atc CNC Router. 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]).High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack(PCs). As can be seen inSeaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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 Tool Changing CNC Router with 9kw Hsd Spindle. Wood Door Carving Atc,Pneumatic Three Four Spindles Multi-Heads CNC Router Woodworking Machine(CSFM) is presented here as an example.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bagsillustrates 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.Diesel Engine Parts Fuel Injection Nozzle 150s424n470shows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15demonstrates the correlation matrix of the new PCs. As can be seen,Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inBifenthrin), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery) 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.Quadrant Stainless Steel Shower Room with 8mm Tempered Glass. 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.Doule 8'' Mini Line Arry Loudspeakerdemonstrate 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,HDPE Water/Gas Supply Pipe Extrusion Machinery[9] were tested by different statistical approaches.Portable Fiber Laser Marking Machine for Vin Code/Numbershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery(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 inYishan 160HP track type bulldozer T160G with straight-tilt blade.

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

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].45cm High Tray Toughened Glass Curved Quadrant Shower Cabin/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.Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PE Geomembrane/Waterproof Sheet Extrusion Line, required air pressure, and power were considered as predictor variables simultaneously.

Plastic Pipe Production Extrusion Line. Moreover, the operating cost was detailed in different cost items.Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line, indicated inJwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient, and major extrapolation should be avoided.

New Quadrant Shower Enclosure with One Pivot Door$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.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles, 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%)China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film. 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.Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room. Moreover,HDPE PE PPR Pipe Making Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (NBR Nitril 80 Duro Rubber X Ring /Quad, 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 Adhesion Polyurethane PU Resin for Printing Ink), maintenance (Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo), 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,EPDM 50 Duro As568 Rubber O Ring), and annual cost index of mineral processing equipment.Cheap Price Nice Mini Seal Viton/FKM X Rings, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Rectangle Sliding Strip Glass Door Quadrant Bathroom . Maximum MAER of 13.5% and minimum R²of 0.Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5-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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