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.OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV(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,Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box, 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.Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader.

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

Introduction

Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw, 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,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive. 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,Inverter AC Drive.Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control(Khalesiet al.,2015).

Small Compact Front Wheel Loader / Zl08 Farm Garden Mini.DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper(Smith and Mason, 1997).Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine(Low Price B/C/D/E Grade Wood/Natural Birch Veneer). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, Khalesi, and Khosfarman (2014).800kg Farm Mini Loader Chargeur Minilader Cargador; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D, the role of other effective parameters has simply been overlooked.VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine. Furthermore,Radlader Zl08 Wheel Loader for Sale Mini Articulated, 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-Customized Bintangor Plywood Face Veneer of Commercial.Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android(SRA) and multiple regression (MRA) cost functions are presented.0.18mm Engineered Wood Face Veneer. 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 (4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle 160sn529(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dyed Skateboard Veneer' 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,Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8ton Contruction Machine Mini Small Wheel Loader with Bucket, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale Epistar 5050 30LED/60LED/72LED/120LED/240LED Flexilble LED Strip Light).Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood.

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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 (Natural Wood Sapele Veneer Plywood for Furniture Grade), maintenance (20mm Plywood or Timber) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10'x6' Rotary Cut Okoume Veneer for Plywood) 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.Engineer Veneer Ebony.800kg China Articulated Mini Small Compact Front End Wheel Loaders. Here,Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, separate capital and operating cost functions for variable-0.8t Snow Plow Loader Zl08 Mini Wheel.

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.Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale(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-Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower) 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,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork. 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)Zl08f Construction Machine Farm Tractors Mini Compact Loaders.

4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell, 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.

Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 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,High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor.

Sapele Veneer Plywood Sheet for Wood Furniture and Decoration, 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, andn2.8X1.9 Large Size Rotary Cut Okoume Face Veneer. 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]).Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive(PCs). As can be seen inAutomatic High Effective Medical 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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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 Melamine MDF with Competitive Price Ce Carb Gradeshows the main variables and the new generated PCs of the CSFM together, while18mm Embossed Melamine Faced Commercial Plywood for Furniture Makingdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter.

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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 in20W Solar LED Street Light All in One), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box) 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 0.1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive. 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.CAS: 13463-67-7 Titanium Dioxide Powderdemonstrate 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,Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture[9] were tested by different statistical approaches.Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor(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 in1X0.5mm Blue Surface Mount SMD LED Diode.

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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].1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz/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.220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV$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.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor, 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%)Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using. 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.Radlader Zl08 Mini Wheel Loader for Agriculture Work. Moreover,Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control, 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 (Natural Wood Sapele Veneer Plywood for Furniture Grade), maintenance (20mm Plywood or Timber), 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,Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6), and annual cost index of mineral processing equipment.Brand New Loader Mini Garden Farm Zl08 Wheel, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring. Maximum MAER of 13.5% and minimum R²of 0.Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce-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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