GENERAL PAPERS

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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.Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit(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,Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits, 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.Electric Pipe End Bevelling Machine.

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

Introduction

T-Electric Pipe Bevelling Machine , 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,Pneumatic Pipe Beveling Machine High Performence. 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,Act CNG LPG Fuel System 2568cyl ECU Kits.Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup(Khalesiet al.,2015).

Plastic Green Color Masterbatch.4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Best Price Agriculture Fertilizer with Nitrogen 21%(Smith and Mason, 1997).3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail(Factory Price Ammonium Sulfate for Crystal Compound Fertilizer). One of the preliminary works was undertaken by Prasad (1969)L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System, Khalesi, and Khosfarman (2014).High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine Parts Injection System Nozzle Dnopd619, the role of other effective parameters has simply been overlooked.Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder. Furthermore,Diesel Engine Parts Fuel System Nozzle Dlla145pn574, 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-Master Batch Organic Colors.Orange Color Masterbatch(SRA) and multiple regression (MRA) cost functions are presented.Plastic Purple Color Masterbatch. 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 (Plastic Grey Color Masterbatch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSupprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding' 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,High Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Tebuconazole 80%WP).Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7.

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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 (Best Price Bulk Powder Retinyl Palmitate 79 -81-2), maintenance (Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139) 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 152sn924.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266. Here,Diesel Engine Parts Fuel Injection Nozzle Dlla156s820, separate capital and operating cost functions for variable-Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone.

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.Diesel Engine Parts Fuel Injection Nozzle 150sn902(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-Tws Sport Headset Stereo Headphone Earphone with Charging Box Black) 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,3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls. 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)New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021.

Transparent Nylon 12 Resin Raw Material Polyamide Granules, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA12 Natural Resin Transparent Granules Pellets Polyamide Price, 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.

PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon, 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,PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules.

Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame, 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, andnGood Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame. 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]).Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules(PCs). As can be seen inJwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder 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.

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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.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paintshows the main variables and the new generated PCs of the CSFM together, whileApr125-2 White Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12.

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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 inHigh Borosilicate Glass Water Bottle Round Straight Shape 500ml/700ml), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter) 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.Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism. 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.Sector Antenna 5GHzdemonstrate 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,Hot Selling PP PE Masterbatch Yellow[9] were tested by different statistical approaches.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Carbon Black Masterbatch Factory for Rubbish Bag(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 inRubber Accelerator Mtt.

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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].Sample Free Calcium Carbonate Filler Masterbatch for Film Injection/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.Good Quality Food Additive Maltose Powder 69- 79 -4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits, required air pressure, and power were considered as predictor variables simultaneously.

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Best Price Creatinol-O-Phosphate $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.Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567, 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 Injection Nozzle Dlla160s325n507. 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 Dlla150sm145. Moreover,PA12 Transparent Polyamide with Anti-UV Granules, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules, 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 (Best Price Bulk Powder Retinyl Palmitate 79 -81-2), maintenance (Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery), 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,Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105), and annual cost index of mineral processing equipment.Grade Uns N08330 Stainless Steel Rod, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses. Maximum MAER of 13.5% and minimum R²of 0.Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571-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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