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.Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control(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,Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6, 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.Brand New Loader Mini Garden Farm Zl08 Wheel.

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

Introduction

Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring, 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,Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce. 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,Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box.Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6(Khalesiet al.,2015).

1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China.China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Driveet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels(Smith and Mason, 1997).Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor(Diesel Engine Parts Injection System Nozzle Dnopd619). One of the preliminary works was undertaken by Prasad (1969)AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply, Khalesi, and Khosfarman (2014).11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving, the role of other effective parameters has simply been overlooked.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor. Furthermore,3 pH 37kw Variable Frequency Drive with AC Input Motor Driver, 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-AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale(SRA) and multiple regression (MRA) cost functions are presented.New Zl08 Mini Radlader with Hydraulic Transmission. 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 (Yn725 G CE Approved Hot Sale Mini Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader' 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,Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ee-114 Factory Supply Industrial Socket).High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.

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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 (Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork), maintenance (Face Veneer Nature Bamboo for Fancy Plywood) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,White Birch Veneer in 0.28mm/Jacky.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Suppliers Okoume Wood Face Veneer for Malaysia) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory-Hardwood Veneer in 1300X2500mmx 0.60mm) 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.Yn725 G Ce Approved Hot Sale Mini Wheel Loader.Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control. Here,China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader, separate capital and operating cost functions for variable-0.8ton Compact Loader Wheel in Europe.

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.4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter(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-11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power) 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,Yn725 Yineng Mini Wheel Front Loader. 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)Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin.

JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, 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.

Km3 Collective 4GB 64GB TV Box Google Certified ATV, 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,China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale.

Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord, 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, andnHigh Quality Ebony Engineered Wood Veneer for Hot Sale. 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]).China Manufacturer Decorative Engineered Wood Veneer(PCs). As can be seen inAuto Vehicle Gas Conversion Kit CNG Seqential Injection Kits, 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.Yn725g 18.5kw Cabin Yineng Mini Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileLmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210demonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Birch Wood Veneer Core for Plywood.

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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 inConstruction Building Bathroom Japanese Bathtub Acrylic Massage), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCAS 79 -57-2 Oxytetracycline) 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.China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale. 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.Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Freedemonstrate 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,Zl08 800kg Mini Tractors with Front End Dumper Loader[9] were tested by different statistical approaches.St-10kw/kVA Single Phase Brush Type Electric Generatorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale(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 inYishan 180HP forestry crawler bulldozer T180F with competitive price.

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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].AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw/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.Construction Machine Mini Loader Zl08 with Factory Price Front End; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6, required air pressure, and power were considered as predictor variables simultaneously.

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Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC$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 Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China, 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%)Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control. 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.Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor. Moreover,General Type Input 3 pH 380V Frequency Converter Variable AC Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.8ton Agricultural Tractor Mini/Small Front 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 (Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork), maintenance (Face Veneer Nature Bamboo for Fancy 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,Teak Wood Veneer Woven Design for Plywood Door), and annual cost index of mineral processing equipment.AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Zl08 Wheel Loader Wl80 Wolf Mini. Maximum MAER of 13.5% and minimum R²of 0.Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor-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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