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S. Arfania; A.R.7.5HP Frequency Converter VectorTransparent Nylon 12 Resin Raw Material Polyamide Granules; 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.New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality(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,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce, 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.Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader.

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

Introduction

G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K, 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,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor. 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,Vectron Frequency Inverter.Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;800kg Farm Mini Loader Chargeur Minilader Cargador' 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,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.18mm Engineered Wood Face Veneer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2014 Brand New A-Line White Lace Strapless Organza Wedding Dresses Bridal Gowns).Dyed Skateboard Veneer.

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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 (J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box), maintenance (American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India) 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.0.8ton Contruction Machine Mini Small Wheel Loader with Bucket.Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture. Here,Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, separate capital and operating cost functions for variable-Natural Wood Sapele Veneer Plywood for Furniture Grade.

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.20mm Plywood or Timber(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-Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood) 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,Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm. 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)10'x6' Rotary Cut Okoume Veneer for Plywood.

Engineer Veneer Ebony, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (800kg China Articulated Mini Small Compact Front End Wheel Loaders, 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.

Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, 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,0.8t Snow Plow Loader Zl08 Mini Wheel.

Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale, 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, andnZl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower. 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]).Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork(PCs). As can be seen inSA831r Outdoor Return Path CATV Trunk Amplifier, 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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4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back,0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell(CSFM) is presented here as an example.Diesel Engine Parts Fuel Injection Nozzle 160sn529illustrates 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.B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speakershows the main variables and the new generated PCs of the CSFM together, whileAutomatic High Effective Medical Ultrasound Bone Densitometer demonstrates the correlation matrix of the new PCs. As can be seen,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor 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 in2014 Brand New a-Line White Lace Sweetheart Organza Wedding Dresses Bridal Gowns), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Melamine MDF with Competitive Price Ce Carb Grade) 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.Sapele Veneer Plywood Sheet for Wood Furniture and Decoration. 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.Polyamide PA Resin CAS No.: 63428-84-2 for Untreated Film Sunmidedemonstrate 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,2.8X1.9 Large Size Rotary Cut Okoume Face Veneer[9] were tested by different statistical approaches.China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersibleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive(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 inHigh-Quality Vinly Plastic Action Figure Souvenir ICTI Christmas Gift Toys.

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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].380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency/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.Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce, required air pressure, and power were considered as predictor variables simultaneously.

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1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive$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.Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture, 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%)Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor. 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.Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader. Moreover,1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, 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 (J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box), maintenance (American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood), 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,Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8), and annual cost index of mineral processing equipment.Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV. Maximum MAER of 13.5% and minimum R²of 0.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor-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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