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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

Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc DesignCost modelling for flotation machines

S. Arfania; A.R.Disperse Dyestuff Violet S3rl 200% C. I. 635.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector; 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.Pigment Violet 1 or Fast Rose Toner/Fast Lake(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 200% P-CF 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.Disperse Red/Blue/Orange/ Violet /Black.

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


Introduction

Disperse Dyestuff Violet Recp-Hf 100% for Textile, 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,Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components. 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,Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance.Super Popular Endless Swimming Pool with Jacuzzi SPA for Market(Khalesiet al.,2015).

Massage Bathtub.PA Filler Masterbatch for Injection Mouldinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for RF Vacuum Face Lifting and Slimming Chin Machine(Smith and Mason, 1997).Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub(PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale). One of the preliminary works was undertaken by Prasad (1969)Laswim Endless Pool/Counter Flow Pool, Khalesi, and Khosfarman (2014).Double Slipper Two Upper End Freestanding Soaking New Bath Tub; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jacuzzi Massage Endless Swimming Pool Swim SPA, the role of other effective parameters has simply been overlooked.2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA. Furthermore,PP Corrugated Roofing Sheet 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- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price.Jwell - Thermoplastic Polyurethane Film Extrusion Machine(SRA) and multiple regression (MRA) cost functions are presented.Jwell - TPU Roll Car Paint Protection Matt Cast Film 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 (Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWater Bottles Wrapping Machines Semi Automatic Film Shrink Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Diesel Engine Parts Fuel Injection Nozzle Dlla150p249' 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,Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Xft- 710 Axial Flow Fire Extinguisher Fan(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt1-10 Hydraulic Press Automatic Block Making Machine).Diesel Engine Parts Fuel Injection Nozzle Dlla155p274.

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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 Dlla153p049), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla155p273) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Diesel Engine Parts Fuel Injection Nozzle Dlla154p332.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Nickel Alloy Monel 400 ) 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.Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4.Disperse Violet 63. Here,Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester, separate capital and operating cost functions for variable-Disperse Red 11 or Brill Pink 4bn.

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.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4(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-Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes) 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,Flame Retardant Ammonium Polyphosphate . 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)Pigment Violet 23 Liquid.

Asapp-II Ammonium Polyphosphate for Intumescent Paints , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Water Treatment Softener Dibasic Sodium Phosphate 97% Powder 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.

Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9, 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,Sodium Phosphate Dibasic CAS No 7558- 79 -4.

Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4, 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, andnBoring Machine Tools Micro Head F1type CNC Heads Set. 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]).Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling(PCs). As can be seen inHot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price, 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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94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4,Supply Ammonium Polyphosphate APP (CSFM) is presented here as an example.AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFDillustrates 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.Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 shows the main variables and the new generated PCs of the CSFM together, whileNew Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TVdemonstrates the correlation matrix of the new PCs. As can be seen,Sdc Shrink Collet Chuck Toolholders for CNC Machine Part.

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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 inHigh Quality Antiseptic Alcohol Waterless Scented Bulk Foam Hand Sanitizer Anti Bacterial Wash Manufacturer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Dual 15" Multi-Purpose Speaker) 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.UNS NO2200 Nickel Plate. 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.Alloy Inconel 625 Nickel Strip 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,Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling[9] were tested by different statistical approaches.Wilson Parts Eim Module Engine Interface Control 258 -9753shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle Dlla148p591(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 in2021 Hot Sale Multi Function Cake Making Machine.

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Cost model for variable-Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling

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 Fuel Injection Nozzle Dlla160pn141/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.Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Disperse Dyestuff Violet 200% P-CF for Textile, required air pressure, and power were considered as predictor variables simultaneously.

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Vat Violet 13$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.Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies, 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%)Solvent Violet 9 . 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.CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder. Moreover,Inconel X-750 Forged/Forging Round Bars , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price Hot Selling Massage Swimming Pool SPA, 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 Dlla153p049), maintenance (Diesel Engine Parts Fuel Injection Nozzle Dlla155p273), 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,Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtub), and annual cost index of mineral processing equipment.Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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