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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.Cafe Bar Table Wrought Iron Home Living Room Dining(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 Latest European Modern Furniture Genuine Leather Sofa, 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.Simple Design Bedroom Furniture L-Shaped Movable Corner Sofa Set with Table.

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

Introduction

New Products Lift Recliner Chair Sofa , 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,Latest L Shape Genuine Leather /Bonded /PU /Fabric Flat Bedroom Furniture Sofa Bed. 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,Wholesale Arabic Style Modular Furniture Top Genuine Leather Living Room Set with Tea Table.Quad Core Media Player Mxq PRO S905W Android Best Kodiiptv Set Top Box TV with SIM Card Slot(Khalesiet al.,2015).

High Quality Footbath Sofa / Foot Massage.New Products Lift Recliner Chair Sofa et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40(Smith and Mason, 1997).SP-KS410) Customized Fabric Softwood Frame Sofa(Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers). One of the preliminary works was undertaken by Prasad (1969)IPTV Reseller Panel for Qhdtv Susbcription 1year Code Wholesale 1500+ Live & VOD Sports News Channels Arabic French Belgium African Andoird TV Box, Khalesi, and Khosfarman (2014).Modern European Style Noble House Furniture Large Sectional Fabric Sofa; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Offer Nordic Removable and Washable Livingroom Fabric Sofa, the role of other effective parameters has simply been overlooked.1 Year Qhdtv Abonnement IPTV Subscription Code Europe Spain Portugal France Italia Arabic Italy French Belgium for Android Smart TV Box M3u. Furthermore,World IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Box, 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-800kg Wheel Loader Mini 780 Radlader.Quilted Fabric Sofa Couch Bed Set Armchear Furniture(SRA) and multiple regression (MRA) cost functions are presented.AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD. 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 (Modern Home Hotel Lesuire Corner Single Fabric Living Room Sofa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUltrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Living Room Furniture' 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,Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Modern Design Living Room Leather Sofa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Electric Wire Rope Hoist 3t).Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV.

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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 (2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa), maintenance (High Quality European Style Modern Furniture) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa) 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.7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc.Wholesale Folding Bed   Recliner Sofa Beds Fabric. Here,Modern Furniture, separate capital and operating cost functions for variable-Foshan Factory Wholesale High Quality Living Room Leather Sofa.

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.Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box(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-Motor Electronic Power Frequency Converter 380V 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,Pipo X8 Mini PC Smart TV Box. 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)Twisan Honoured Production 800kg Small Front End Loader with High Quality.

Frequency Inverter 380V 50/60Hz, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC, 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.

AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw, 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,Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC.

Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller, 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, andn50 to 60 Hz 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]).AC Variable Vector Frequency Inverter(PCs). As can be seen in1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical, 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.PRO Audio Speaker 12 Inch Sub PA Passive Speakersshows the main variables and the new generated PCs of the CSFM together, while10 Inch Indoor Outdoor Professional Loudspeakerdemonstrates the correlation matrix of the new PCs. As can be seen,0.8 Ton Mini Wheel Loader with Lowest Price.

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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 inChicken Pops Forming Machine/Meat Pie Machine/Commercial Automatic Hamburger Patty Machine with Competitive Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGurjan Veneer Keruing) 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.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V. 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.Food Grade Packaging Custom Print Laminated Stand up Bagdemonstrate 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,Water Pump Frequency Inverter[9] were tested by different statistical approaches.High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificateshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Small Variable-Frequency Drive (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 inFactory Directly Sale 12V 1.5A 15 Volt 1.2 AMP AC DC Power Adapter.

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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].VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive/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 Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Manufacturer Latest European Modern Furniture Genuine Leather Sofa, required air pressure, and power were considered as predictor variables simultaneously.

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0.8ton Zl08f Small Wheel Loader$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.Loading Machine, 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 Radlader with Ce for Germany and Sweden Market. 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.China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce. Moreover,Farm Equipment 800kg Small Loader Payloader for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller, 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 (2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa), maintenance (High Quality European Style Modern Furniture), 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,0.8t Multifunctional Hydraulic Wheel Loader for Farm), and annual cost index of mineral processing equipment.Android TV Box X96 Air 4GB 32GB Media Player, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale. Maximum MAER of 13.5% and minimum R²of 0.Construction Equipment Mini Wheel Loader with Quick Hitch-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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