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.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell(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,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 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.High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor.

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

Introduction

Sapele Veneer Plywood Sheet for Wood Furniture and Decoration, 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,2.8X1.9 Large Size Rotary Cut Okoume Face Veneer. 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 with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive.Veneer Engineer Poplar Cross Grain 0.50mm(Khalesiet al.,2015).

380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency.Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch(Smith and Mason, 1997).Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter(High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter, Khalesi, and Khosfarman (2014).1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture, the role of other effective parameters has simply been overlooked.Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor. Furthermore,Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader, 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-1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz.220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter(SRA) and multiple regression (MRA) cost functions are presented.Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8. 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 (Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV' 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,Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Brand New Loader Mini Garden Farm Zl08 Wheel(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Aplus Soft Bristle Wheat Straw Hotel Toothbrush).Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring.

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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 (Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce), maintenance (Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive) 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.Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor.AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply. Here,11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller, separate capital and operating cost functions for variable-Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving.

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.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor(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-3 pH 37kw Variable Frequency Drive with AC Input Motor Driver) 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,AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor. 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 Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale.

New Zl08 Mini Radlader with Hydraulic Transmission, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 G CE Approved Hot Sale Mini Wheel Loader, 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.

Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader, 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,Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade.

Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, 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 Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz 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]).Wolf Mini Loader Wl80 with Grass Cutter(PCs). As can be seen inTruck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003, 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.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairsshows the main variables and the new generated PCs of the CSFM together, whileUn Approved 0.5 Liter Metal Square Paint Empty Tin Cansdemonstrates the correlation matrix of the new PCs. As can be seen,High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.

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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 inThinkwell Forged Fist Grip Wire Rope Clip), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity Levamisole Manufacturer CAS 14769-73-4 with Best 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.Face Veneer Nature Bamboo for Fancy Plywood. 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.Diesel Engine Parts Injection System Nozzle Dnopd619demonstrate 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,White Birch Veneer in 0.28mm/Jacky[9] were tested by different statistical approaches.China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Suppliers Okoume Wood Face Veneer for Malaysia(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 inBias 29 Inch off Road Tyre OTR Tires 29.5-29 33.25-29.

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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].Yn725 G Ce Approved Hot Sale Mini Wheel Loader/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.Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, required air pressure, and power were considered as predictor variables simultaneously.

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4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter$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 0.11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power, 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%)Yn725 Yineng Mini Wheel Front Loader. 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.Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin. Moreover,JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, 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 (Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce), maintenance (Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box), 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,Km3 Collective 4GB 64GB TV Box Google Certified ATV), and annual cost index of mineral processing equipment.China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord. Maximum MAER of 13.5% and minimum R²of 0.High Quality Ebony Engineered Wood Veneer for Hot Sale-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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