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.Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08(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,Wolf 0.8t 800kg Mini Loader with Euro 3 Engine, 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 0.500- 800W 48V 20ah OEM manufacturers Electric Scooter.

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

Introduction

800W Brushless Adult Electric Scooter, 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,2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle. 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,Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle.Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter(Khalesiet al.,2015).

1L Beer Can.High Quality Electric Scooter Factoryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability(Smith and Mason, 1997).Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults(PE Geomembrane/Waterproof Sheet Extrusion Line). One of the preliminary works was undertaken by Prasad (1969)1L Panit Can, Khalesi, and Khosfarman (2014).1L and 5L Can for Antifreezing Liquid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle, the role of other effective parameters has simply been overlooked.Pump Inverter Variable Frequency Drive Manufacturers AC Supplier. Furthermore,Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, 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-Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados.China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock(SRA) and multiple regression (MRA) cost functions are presented.Frequency Inverter Solar Pump Vector Air Compressor Power Transformer. 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 (Supply China Control Frequency Converter VFD Power Transformer Motor Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Grade AA Veneer Furniture Building Material Plywood to Dubai(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable Fashion Personal Protection 3ply Face Mask with Design).1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid.

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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 of Enigine Oil Can), maintenance (Small Wheel Loader Wl80 800kg Loaders for Farm Work) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L Tin Can for Camellia Oil .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box) 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.2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core. Here,Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box, separate capital and operating cost functions for variable-Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia.

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.5 Litre Extra Olive Oil Tin Can (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-DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw) 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,Frequency Converterlow Industrial Power Inverter. 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)2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter, 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.

DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw, 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,Low Price B/C/D/E Grade Wood/Natural Birch Veneer.

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whereC_eis the estimated cost,C_athe actual cost, andnSolar Pump Inverter Price Quality AC Drive Frequency Converter. 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 Quality Pine Wood Core Block Board with Okume Film(PCs). As can be seen inYn725g Yineng Mini Wheel Loader, 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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Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits,Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch(CSFM) is presented here as an example.Diesel Central Drive Three Wheel Dumper for Saleillustrates 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.PA Woofer Speaker T- 10 12 15shows the main variables and the new generated PCs of the CSFM together, while3 Phase 50 - 60Hz Intelligent Power Saverdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter.

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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 inDisposable 3 Ply Medical Face Mask), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBest Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price) 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 0.2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters. 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.Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessendemonstrate 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,Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw[9] were tested by different statistical approaches.4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter(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 Precision 3D Wheel Alignment Wb042.

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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].Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini/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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Wolf 0.8t 800kg Mini Loader with Euro 3 Engine, required air pressure, and power were considered as predictor variables simultaneously.

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Wolf Wl80 Mini Dumper Loader with Bucket$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.Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket, 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%)Agricultural Machine Small Wheel Loader Mini780 with CE Certificate. 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.Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders. Moreover,Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader, 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 of Enigine Oil Can), maintenance (Small Wheel Loader Wl80 800kg Loaders for Farm Work), 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,Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box), and annual cost index of mineral processing equipment.Natural Okoume Venner 0.90mmx6X9FT, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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