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Industrial Vacuum Atmosphere Hot Pressing Sintering FurnaceCost modelling for flotation machines

S. Arfania; A.R.Compact Neodymium Line Array 12inch 400W Passive Speaker PA SystemDisperse Red/Blue/Orange/ Violet /Black; 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.Professional 10 " Aluminum Speaker Basket(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,New Arrival Mr Series Audio Mixer with DSP Mr-10fx, 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 Price Powder Mannitol with High Quality.

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

Introduction

Outdoor Line Array PA System Loudspeaker, 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,Karaoke Wireless Portable Wooden Bluetooth PA Speaker. 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,12" Line Array Loud Speaker Sound System Professional PA.15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker(Khalesiet al.,2015).

Professional Line Array PA System S1210 Sound.Cosmetic Material 99% Purity Tretinoin Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2L Galvanized Tin Cans for Cooking Oil with Plastic Lids(Smith and Mason, 1997).High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !(2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player). One of the preliminary works was undertaken by Prasad (1969)Spts, Khalesi, and Khosfarman (2014).High Power DJ Sound Equipment System Line Array PA Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, the role of other effective parameters has simply been overlooked.Best Price Medicine Grade Lanosterol Powder. Furthermore,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array, 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-PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address.Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4(SRA) and multiple regression (MRA) cost functions are presented.Cosmetic Grade L-Arginine with Best Price. 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 (Anti-Wrinkle and Aging Chemical Raw Materials, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery' 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,L-Arginine Powder Amino Acid Pure Manufacturer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,White Powder Vitamin a for Food and Feed Grade, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (50000PCS Certificate Disposable 3ply Face Mask Surgical Protective Masks).Professional Line Array Speaker Neodymium Af15.

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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 (Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade), maintenance (Q210 Passive PA Speaker System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional 24 Channels Digital Audio Mixer Console) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements) 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.Skin Care Raw Material Vitamin a Palmitate Powder.Lf Drivers 10 Inches Professional Speaker Pw1032-64. Here,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, separate capital and operating cost functions for variable-Made in China PA Speaker System Three Way Loudspeakers.

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.Line Array Speaker Professional PA System Two Way Full Rang Passive (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-Pyridinecas Number 110//86//1 Used as Chemical Reagent) 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,Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG. 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)P-Toluenesulfinic Acid Sodium Salt Hydrate .

Bloom Tech Chemical Reagent Bis , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7, 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.

CAS: 13463-67-7 Titanium Dioxide Powder, 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,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic.

Factory Supply 99% Dexketoprofen Trometamol Powder, 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, andn10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth . 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]).Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box(PCs). As can be seen inOutdoor Big Power Karaoke Trolley Loud PA Speaker, 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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V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater,PRO Audio PA System Digital Mixer(CSFM) is presented here as an example.Food Grade Round Tin Can for Welded Milk Powder Packagingillustrates 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.Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M Fshows the main variables and the new generated PCs of the CSFM together, while1L 2L 5 L Plastic HDPE Powder Bottlesdemonstrates the correlation matrix of the new PCs. As can be seen,Food Grade L-Arginine with Best Price.

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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 inEco-Friendly Agarbatti First Layer Bamboo Incense Sticks AAA Grade), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAdditive PE Green Color Masterbatches Manufacturer) 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 0.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure. 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.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kwdemonstrate 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,Wild Bee Venom Extract Melittin 99% Powder for Skin Care[9] were tested by different statistical approaches.Top Selling 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1(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 inSMD1212 Nationstar Lamp LED Display Screen P1.25 P1.56.

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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].Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag/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.ISO Certified 100% Natural L-Arginine Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Arrival Mr Series Audio Mixer with DSP Mr-10fx, required air pressure, and power were considered as predictor variables simultaneously.

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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.10 Inch Powered Line Array Speaker Active. Moreover,Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 10 Inch Line Aray Powered Active Sound System, 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 (Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade), maintenance (Q210 Passive PA Speaker System), 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,60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics), and annual cost index of mineral processing equipment.Manufacturer Supply 1, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Dual 10inch PA Audio Line Array Speaker Box System. Maximum MAER of 13.5% and minimum R²of 0.Dual 10 " 600W Line Array PA Professional Speaker -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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