GENERAL PAPERS

Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0Cost modelling for flotation machines

S. Arfania; A.R.Diesel Engine Parts Injection System Nozzle Dnopd61915kw Solar Inverter Grid Tied; 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.Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder(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,Diesel Engine Parts Fuel System Nozzle Dlla145pn574, 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.Master Batch Organic Colors.

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

Introduction

Orange Color Masterbatch, 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,Plastic Purple Color Masterbatch. 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 Grey Color Masterbatch.Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding(Khalesiet al.,2015).

Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid.Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Qualityet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Food Grade L-Arginine with Best Price(Smith and Mason, 1997).Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4(Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle). One of the preliminary works was undertaken by Prasad (1969)ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33, Khalesi, and Khosfarman (2014).High Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7, the role of other effective parameters has simply been overlooked.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality. Furthermore,Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7, 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-Best Price Bulk Powder Retinyl Palmitate 79 -81-2.Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery(SRA) and multiple regression (MRA) cost functions are presented.Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7. 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 (Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch(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 Dlla156sm139' 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 150sn902

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yetis Rambler Vacuum Insulated Tumbler 12oz 10oz 14oz 18oz).New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021.

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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 (Transparent Nylon 12 Resin Raw Material Polyamide Granules), maintenance (PA12 Natural Resin Transparent Granules Pellets Polyamide Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame) 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.Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules. Here,Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade, separate capital and operating cost functions for variable-2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation.

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.Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s(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-Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12) 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,Ce Certification Plastic Water Bottle Use Yellow Masterbatch. 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)Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism.

Hot Selling PP PE Masterbatch Yellow, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Carbon Black Masterbatch Factory for Rubbish Bag, 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.

PE Green Color Masterbatches Supplier in China, 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,Sample Free Calcium Carbonate Filler Masterbatch for Film Injection.

Good Quality Food Additive Maltose Powder 69- 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).

whereC_eis the estimated cost,C_athe actual cost, andnPharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate. 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]).Good Taste Maltose Sugar Hot Selling Price 69- 79 -4(PCs). As can be seen inAj-Bmd500 New Generation Ultrasound Bone Densitometer, 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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Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567,Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507(CSFM) is presented here as an example.Residential Grid Tied 6kw Solar Power System for Homeillustrates 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.ATV Scooter Motorcycle High Quality Partsshows the main variables and the new generated PCs of the CSFM together, whileRetionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4demonstrates the correlation matrix of the new PCs. As can be seen,Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145.

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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 inCalacatta Black Artificial Quartz Stone for Kitchen Countertop and Table Top), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from250CC Go Kart ) 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.PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules. 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.Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Containerdemonstrate 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,Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105[9] were tested by different statistical approaches.off Grid 5kw 10kw Solar Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Grade Uns N08330 Stainless Steel Rod(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 inHeat Silicone Film Can Customized Various Specifications and High Resilience Non-Stick..

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Cost model for variable-Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses

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 Injection Nozzle Bdll150s6571/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.Diesel Engine Parts Fuel Injection Nozzle 140s6655; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diesel Engine Parts Fuel System Nozzle Dlla145pn574, required air pressure, and power were considered as predictor variables simultaneously.

PA12 Transparent Polyamide with Anti-UV Granules. Moreover, the operating cost was detailed in different cost items.904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bar, indicated in99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8, and major extrapolation should be avoided.

Hot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014$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 0.1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tube, 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%)Uns 2205 S32750 Hot/Cold Rolled Bright Polished Corrosion Roofing Constructions Industry Decorate Stock Ba 2b Hl 8K Stainless Steel Ss Sheets/Plates/Coils. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304. Moreover,Diesel Engine Parts Fuel Injection Nozzle Dlla150s506, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (ASTM A276 Uns N08904 904L Stainless Steel Plate, 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 (Transparent Nylon 12 Resin Raw Material Polyamide Granules), maintenance (PA12 Natural Resin Transparent Granules Pellets Polyamide Price), 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,Stainless Steel 17-4pH ), and annual cost index of mineral processing equipment.Alloy Ldx 2101 Uns S32101 Stainless Steel Plate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,ASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690. Maximum MAER of 13.5% and minimum R²of 0.Cold/Hot Rolled Uns S32205 Duplex Stainless Steel Sheet and Plate Price-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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