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On-line version ISSN2411-9717
Print version ISSN2225-6253
J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017
http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â
GENERAL PAPERS
Cheap Price Nice Mini Seal Viton/FKM X RingsCost modelling for flotation machines
S. Arfania; A.R.Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer150cc Enclosed Gasoline Motorized Cargo Trike with Box ; M.R. Khalesi
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.Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450(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,Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT, 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 0.433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/Android, 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,Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair. 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,Chinese Wooden Silver-Leaf Classical Fabric Sofa.Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Band(Khalesiet al.,2015).
Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa .Modern Simple Hotel Lobby Discussion Living Room Leisure Sofaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine(Smith and Mason, 1997).Sofa Set Fabric Velvet Furniture(VFD AC Drive). One of the preliminary works was undertaken by Prasad (1969)OEM PVC Home Suede Inflatable Sofa with Footstool, Khalesi, and Khosfarman (2014).Modern Simple Living Room L Shape Corner Recliner Sectional Sofa; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fat Boy Bean Bag Cover for Sports, the role of other effective parameters has simply been overlooked.64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV. Furthermore,Living Room Lounge Furniture Sofa Fabric 3 Seater Couch, 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-Stable Quality 1year Qhdtv HD IPTV Abonnement Reseller Panel Lxtream Code All Europe Italy UK USA Spain France Arabic Morocco Channel.Customization Available Modern Popular Home Furniture Set Living Room Leather Sofa(SRA) and multiple regression (MRA) cost functions are presented.Cafe Bar Table Wrought Iron Home Living Room Dining. 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 (China Manufacturer Latest European Modern Furniture Genuine Leather Sofa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inColor Marking 20W Fiber Laser Machine Price for Metal(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Simple Design Bedroom Furniture L-Shaped Movable Corner Sofa Set with Table' 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,High Quality Footbath Sofa / Foot Massage
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Products Lift Recliner Chair Sofa , blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),SP-KS410) Customized Fabric Softwood Frame Sofa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale High Speed Metal Laser Cutting Machine).IPTV Reseller Panel for Qhdtv Susbcription 1year Code Wholesale 1500+ Live & VOD Sports News Channels Arabic French Belgium African Andoird TV Box.
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 (Modern European Style Noble House Furniture Large Sectional Fabric Sofa), maintenance (Factory Offer Nordic Removable and Washable Livingroom Fabric Sofa) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1 Year Qhdtv Abonnement IPTV Subscription Code Europe Spain Portugal France Italia Arabic Italy French Belgium for Android Smart TV Box M3u.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (World IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (800kg Wheel Loader Mini 780 Radlader) 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.Quilted Fabric Sofa Couch Bed Set Armchear Furniture.AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD. Here,Modern Home Hotel Lesuire Corner Single Fabric Living Room Sofa, separate capital and operating cost functions for variable-Living Room Furniture.
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.Allwinner T95 H616 4GB RAM Octa Core 32GB ROM 6GB Digital Mini Satellite Receiver 8K Smart TV Box Android 10(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-Cheapest Set Top Box Mxq PRO Rk3229 Android 7.1 Quad Core 1GB 8GB TV) 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,Nordic Leather Sofa Modern Simple Three Seats. 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 Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture.
Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture, Khalesi, and Khosfarman, 2014).
whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.
2021 New Modern Design Living Room Leather Sofa, 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]:
whereXobsis the observed value,xethe estimated value at time/placeI,and n,Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV.
2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, 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).
whereCeis the estimated cost,Cathe actual cost, andnHigh Quality European Style Modern Furniture. 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]).2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture (PCs). As can be seen inVariable Frequency Inverter Solar Pump DC/AC, 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 andXias Equations [5] and [6]:
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In this research, main variables ofX1, X2... Xnwere 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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Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa,7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc(CSFM) is presented here as an example.55 Inch Stand Alone Digital Photo Booth LCD Advertising Displayillustrates 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.Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6shows the main variables and the new generated PCs of the CSFM together, whilePopular Medical Device Automatic Bone Densitometerdemonstrates the correlation matrix of the new PCs. As can be seen,Wholesale Folding Bed Recliner Sofa Beds Fabric.
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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)
whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inTriangle Radial OTR Tyre), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPerkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223) 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.Foshan Factory Wholesale High Quality Living Room Leather Sofa. 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.China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouchdemonstrate 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,Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box[9] were tested by different statistical approaches.China Plywood for The Furniture/Constructionshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motor Electronic Power Frequency Converter 380V 2.2kw(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 inCustomized Metal Souvenir Old Medal with Ribbon Customised Token Lanyardhigh Quality Wholesale 3D Enamel Sport of Freedommasters Army Company.
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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].Twisan Honoured Production 800kg Small Front End Loader with High Quality/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.Frequency Inverter 380V 50/60Hz; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT, required air pressure, and power were considered as predictor variables simultaneously.
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Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC$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 Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller, 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%)50 to 60 Hz Frequency Converter. 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.AC Variable Vector Frequency Inverter. Moreover,Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price, 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 (Modern European Style Noble House Furniture Large Sectional Fabric Sofa), maintenance (Factory Offer Nordic Removable and Washable Livingroom Fabric Sofa), 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,AC Drive Frequnce Converter 5.5kw Pump Use ), and annual cost index of mineral processing equipment.0.8 Ton Mini Wheel Loader with Lowest Price, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,VFD AC Drive. Maximum MAER of 13.5% and minimum R2of 0.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V-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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