GENERAL PAPERS

High Quality Elasticity Competitve Nitrile X RingCost modelling for flotation machines

S. Arfania; A.R.Xft- 710 Axial Flow Fire Smoke Fan5GHz 15dBi Dual Polarization Enclosure WiFi Antenna; 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.Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors(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 Violet 26 Dyes, 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.Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye.

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

Introduction

Disperse Dyestuff Violet S3rl 200% C. I. 63, 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,Pigment Violet 1 or Fast Rose Toner/Fast Lake. 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,Disperse Dyestuff Violet 200% P-CF for Textile.Disperse Red/Blue/Orange/ Violet /Black(Khalesiet al.,2015).

Disperse Dyestuff Violet Recp-Hf 100% for Textile.Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Componentset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(Smith and Mason, 1997).Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance(Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design). One of the preliminary works was undertaken by Prasad (1969)Super Popular Endless Swimming Pool with Jacuzzi SPA for Market, Khalesi, and Khosfarman (2014).Massage Bathtub; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA Filler Masterbatch for Injection Moulding, the role of other effective parameters has simply been overlooked.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub. Furthermore,Laswim Endless Pool/Counter Flow Pool, 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-Double Slipper Two Upper End Freestanding Soaking New Bath Tub.Jacuzzi Massage Endless Swimming Pool Swim SPA(SRA) and multiple regression (MRA) cost functions are presented.2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA. 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 (PP Corrugated Roofing Sheet Extrusion Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price' 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,Polythene Plastic Sheet Making 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,Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customize All Types of Spring Nut Special).1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower.

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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 Dlla160p3125q), maintenance (Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Xft- 710 Axial Flow Fire Extinguisher Fan.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 Dlla155p274) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Diesel Engine Parts Fuel Injection Nozzle Dlla153p049) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla155p273.Diesel Engine Parts Fuel Injection Nozzle Dlla154p332. Here,Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006, separate capital and operating cost functions for variable-High Quality Nickel Alloy Monel 400 .

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.Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4(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-Disperse Violet 63) 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,Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester. 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)Disperse Red 11 or Brill Pink 4bn.

94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes, 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.

Flame Retardant Ammonium Polyphosphate , 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,Pigment Violet 23 Liquid.

Asapp-II Ammonium Polyphosphate for Intumescent Paints , 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, andnWater Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4. 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]).Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9(PCs). As can be seen inWater Bottles Wrapping Machines Semi Automatic Film Shrink Machine, 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.

Sodium Phosphate Dibasic CAS No 7558- 79 -4

Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4,Boring Machine Tools Micro Head F1type CNC Heads Set(CSFM) is presented here as an example.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Priceillustrates 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.High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jackshows the main variables and the new generated PCs of the CSFM together, whileAC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFDdemonstrates the correlation matrix of the new PCs. As can be seen,Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling.

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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 inImpact Crusher), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPA Filler Masterbatch for Injection Moulding) 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 0.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4. 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.Professional Dual 15" Multi-Purpose Speakerdemonstrate 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,Supply Ammonium Polyphosphate APP [9] were tested by different statistical approaches.Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sdc Shrink Collet Chuck Toolholders for CNC Machine Part(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 inWholesale Newborn Baby Boys Rompers Onesie Spring and Autumn Cotton Long- Sleeved Clothing.

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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].UNS NO2200 Nickel Plate/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.Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Disperse Violet 26 Dyes, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle Dlla148p591. Moreover, the operating cost was detailed in different cost items.Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling, indicated inWholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock, and major extrapolation should be avoided.

Diesel Fuel Injection Nozzle Dlla160pn141$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.Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts, 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%)Diesel Engine Parts Fuel System SD265 Nozzle. 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.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada. Moreover,Vat Violet 13, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies, 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 Dlla160p3125q), maintenance (Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189), 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,Solvent Violet 9 ), and annual cost index of mineral processing equipment.CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Inconel X-750 Forged/Forging Round Bars . Maximum MAER of 13.5% and minimum R²of 0.Factory Price Hot Selling Massage Swimming Pool SPA-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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