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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
Trimethyl CisCost modelling for flotation machines
S. Arfania; A.R.Replica Aluminum Alloy Wheels for BMWNitrogen Chemical Fertilizer Ammonium Sulfate 21%Min; 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.20" Inch Replica Aluminum Alloy Wheels for Astonmartin(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,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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.Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner, 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,Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB. 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,Medical Automatic Ultrasound Bone Densitometer in Low Price.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China(Khalesiet al.,2015).
Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner.IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car(Smith and Mason, 1997).Automatic High Effective Ultrasound Bone Densitometer Made in China(Electric Motorcycle ). One of the preliminary works was undertaken by Prasad (1969)Diesel Central Drive Three Wheel Dumper for Sale, Khalesi, and Khosfarman (2014).Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, the role of other effective parameters has simply been overlooked.Apr125 White Motorcycle. Furthermore,Apr125 Red Motorcycle, 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-Apr125-2 White Motorcycle.Underwater Swimming Pool Light Decoration LED Lamp(SRA) and multiple regression (MRA) cost functions are presented.IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner. 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 (Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality with Good Price Oxytetracycline HCl Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ' 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,One and Half Rows Three Wheeler for Sale
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Adult 800W Power Electric Scooter Suit for Woman(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (All in Two Integrated Solar LED Traffic Street Light with APP Control).800W Electric Motorbike with Front Disc Brake.
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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 (Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle), maintenance (dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power) 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.5GHz 30dBi Grid Parabolic Antenna .5GHz Dish Parabolic Antenna 29dBi. Here,2.4/ 5GHz Dual Band H-Pol Sector Antenna, separate capital and operating cost functions for variable-Electric Dirt Bike Zm-Es18 with 500W- 800W Motor.
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.5GHz 20dBi Enclosure WLAN Antenna(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-5GHz 45deg Dual Pol Sector Antenna) 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,5GHz 23dBi Enclosure WiFi Antenna. 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)5GHz Dual Pol Sector Antenna with Enclosure .
5GHz 34dBi Dish WLAN Antenna, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz 18dBi Dual Polarization Sector WiFi Antenna, 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.
18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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,Poplar Film Faced Plywood Board with Carb Certificate.
18W 12V IP68 Waterproof LED Swimming Pool Lamps, 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, andnHot Sale on-Grid 20kw Grid Tied Solar Power Home System. 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]).E1 Glue Malamine Mositure-Proof MDF with Carb Certification(PCs). As can be seen inKTV Single 8" Full Range Audio&Sets, 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]:
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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Quality 18mm Carb Birch Okoumen Plywood,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale(CSFM) is presented here as an example.3HP Frequency Converter Vector Three Phaseillustrates the high correlation between predictor variables for the CSFM.
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.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adultsshows the main variables and the new generated PCs of the CSFM together, while1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tubedemonstrates the correlation matrix of the new PCs. As can be seen,30kw Grid Tied Solar Power System Home Popular in Philippines.
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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 inAlibaba Express), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromModern Furniture) 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.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty. 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.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4demonstrate 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,50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter[9] were tested by different statistical approaches.Rosen 8kw Grid Tied on Solar Panel Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip(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 inP3 Indoor Full Color LED Screen.
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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].14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims/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.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, required air pressure, and power were considered as predictor variables simultaneously.
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AL908 800kg Rated Load Wheel Loader with CE Approved for Sale$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.China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 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%)Portable Laptop Digital Automatic Ultrasound Bone Densitometer. 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.Haiqin Brand 0.8ton Mini Loader . Moreover,Jarol Solar Inverter 5.5kw 3 Phase, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification, 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 (Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle), maintenance (dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for), 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,Textile Crane Centrifugal 380V Variable Frequency Drive VFD), and annual cost index of mineral processing equipment.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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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