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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.Solar Inverter Pump 15kw(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,China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, 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.TUV Ce Europe Popular 6000W Grid Tied Home Solar System.

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

Introduction

High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box, 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,Yn725g Yineng Mini Front End Loader. 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,China Everun Er408 Small Loader Compact with Pallet Forks.Yn725g 18.5 Kw/2(Khalesiet al.,2015).

1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.Yn725g 18.5kw Cabin Yineng Mini Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Twisan Honoured Production 800kg Small Front End Loader with High Quality(Smith and Mason, 1997).Yn725g Yineng Mini Wheel Loader(100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator ). One of the preliminary works was undertaken by Prasad (1969)CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, Khalesi, and Khosfarman (2014).3kw Solar Power System for Home Use on Grid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, the role of other effective parameters has simply been overlooked.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader. Furthermore,PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, 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-China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw.Yangtze Solar Power Grid Tied System Home 5kw 5K(SRA) and multiple regression (MRA) cost functions are presented.Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily. 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 (1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPlastic Grey Color Masterbatch(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Fan Frequency Inverter VFD Vector Control 3pH 30kw' 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,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),AC Fan Frequency Inverter VFD Vector Control 3pH 18kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Rose Dog Valentine's Day Gifts for Girlfriends and PE Simulation Flower Puppy Doll Custom).Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw.

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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 (AC Fan Frequency Inverter VFD 3pH 15kw), maintenance (AC Fan Frequency Inverter 3pH 7.5kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Inverter Cabinet VFD Frequency.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Inverter Cabinet VFD Frequency AC Drive 55kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) 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.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel. Here,Yangtze 100kw Grid Tied Portable Solar System Camping Component, separate capital and operating cost functions for variable-Yn725g Yineng Mini Wheel Loader.

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.Roof Mounting Solar System 10kw off Grid Tied Power(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-Screw Top Metal Tin Can) 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,a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels. 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)Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House.

Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725g 18.5kw No Cabin Yineng 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.

Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin, 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,5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can.

Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin, 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, andnFast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price. 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]).1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(PCs). As can be seen inOphthalmic Optical Pachymeter & Biometer / a Scan , 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.Electricity Saving Device 600amp shows the main variables and the new generated PCs of the CSFM together, whileDigital Display Superior 316L integrated Pressure Transducerdemonstrates the correlation matrix of the new PCs. As can be seen,China Cheap Colour Optional Electric Motorcycle for Adults.

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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 inWoma Factory New Model Acrylic Freestanding Bath Shower Tub), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMylar Custom Printing Barrier Exit Bag) 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.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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.1L Paint Tin Cans/Empty Food Grade Can with Liddemonstrate 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,China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery[9] were tested by different statistical approaches.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W(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 in16oz Plastic Boston Round Bottle.

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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].Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult/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.Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, required air pressure, and power were considered as predictor variables simultaneously.

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Engine Oil Cans 4 Liter Motor Lubricating Tin Can$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.Yn725 Gyineng Mini Wheel Loader, 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%)Solar Pump Frequency Inverter MPPT Fuction 0.75kw. 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.Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box. Moreover,Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC to Drive 380V Frequency Inverter 4kw, 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 (AC Fan Frequency Inverter VFD 3pH 15kw), maintenance (AC Fan Frequency Inverter 3pH 7.5kw), 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,Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon), and annual cost index of mineral processing equipment.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals, 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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