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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

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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.Disperse Red/Blue/Orange/ Violet /Black(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,Disperse Dyestuff Violet Recp-Hf 100% for Textile, 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.Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components.

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


Introduction

Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance, 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,Super Popular Endless Swimming Pool with Jacuzzi SPA for Market. 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,Massage Bathtub.PA Filler Masterbatch for Injection Moulding(Khalesiet al.,2015).

Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub.Laswim Endless Pool/Counter Flow Poolet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Variable Speed Inverter China Frequency Converter AC(Smith and Mason, 1997).Double Slipper Two Upper End Freestanding Soaking New Bath Tub(Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine). One of the preliminary works was undertaken by Prasad (1969)Jacuzzi Massage Endless Swimming Pool Swim SPA, Khalesi, and Khosfarman (2014).2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PP Corrugated Roofing Sheet Extrusion Machine, the role of other effective parameters has simply been overlooked.Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price. Furthermore,Jwell - Thermoplastic Polyurethane Film 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-Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine.Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line(SRA) and multiple regression (MRA) cost functions are presented.Diesel Engine Parts Fuel Injection Nozzle Dlla150p249. 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 (Polythene Plastic Sheet Making Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient' 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,Xft- 710 Axial Flow Fire Extinguisher Fan

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Engine Parts Fuel Injection Nozzle Dlla155p274, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diesel Engine Parts Fuel Injection Nozzle Dlla153p049(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Trade Assurance Kitchen Appliance Rotary Bakery Outdoor Pizza Oven Machine / Stainless Steel Gas Bread Baking for Sale).Diesel Engine Parts Fuel Injection Nozzle Dlla155p273.

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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 (Diesel Engine Parts Fuel Injection Nozzle Dlla154p332), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Nickel Alloy Monel 400 .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Disperse Violet 63) 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.Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester.Disperse Red 11 or Brill Pink 4bn. Here,94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, separate capital and operating cost functions for variable-Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes.

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.Flame Retardant Ammonium Polyphosphate (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-Pigment Violet 23 Liquid) 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,Asapp-II Ammonium Polyphosphate for Intumescent Paints . 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)Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4.

Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sodium Phosphate Dibasic CAS No 7558- 79 -4, 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.

Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4, 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,Boring Machine Tools Micro Head F1type CNC Heads Set.

Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling, 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, andnHigh Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine. 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]).94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4(PCs). As can be seen inHigh Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack, 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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Sdc Shrink Collet Chuck Toolholders for CNC Machine Part,Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar(CSFM) is presented here as an example.Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 illustrates 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.New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TVshows the main variables and the new generated PCs of the CSFM together, whilePA Filler Masterbatch for Injection Mouldingdemonstrates the correlation matrix of the new PCs. As can be seen,UNS NO2200 Nickel Plate.

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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 inMetal Pin and Card Standalone Access Control), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSafe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla148p591. 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.Wilson Parts Eim Module Engine Interface Control 258 -9753demonstrate 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,Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling[9] were tested by different statistical approaches.Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Fuel Injection Nozzle Dlla160pn141(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 inSteel Color Coated Metal Zinc Corrugated Roofing Sheet.

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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].Diesel Engine Parts Fuel System SD265 Nozzle/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.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Disperse Dyestuff Violet Recp-Hf 100% for Textile, required air pressure, and power were considered as predictor variables simultaneously.

Vat Violet 13. Moreover, the operating cost was detailed in different cost items.Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies, indicated inE0 Glue1250*2500mm Wenge Engineer Veneer for Decoration, and major extrapolation should be avoided.

Solvent Violet 9 $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.CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder, 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%)Inconel X-750 Forged/Forging Round Bars . 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.Factory Price Hot Selling Massage Swimming Pool SPA. Moreover,Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtub, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration, 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 (Diesel Engine Parts Fuel Injection Nozzle Dlla154p332), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006), 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,HDPE Plastic Geomembrane Sheet Making Extrusion Machine), and annual cost index of mineral processing equipment.Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Uns No6600 Inconel600 Steel Plate. Maximum MAER of 13.5% and minimum R2of 0.Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Trimethyl Cis.Fast Delivery High Purity Benzaldehyde 100-52-7.Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223, Montreal. 265 pp.         [Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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