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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
2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without PedalsCost modelling for flotation machines
S. Arfania; A.R.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful SubwooferLine Arrays Speaker Dual 10 Inch Powered Sound system; 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.Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer(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,Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box, 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.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
High Power Two-Way Full Range PRO Audio Speaker Box System, 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer. 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,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430.Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer(Khalesiet al.,2015).
Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.Rental Application Stage Monitor Audio&Setset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9(Smith and Mason, 1997).Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2(Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price). One of the preliminary works was undertaken by Prasad (1969)Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0 for Antiseptic, Khalesi, and Khosfarman (2014).White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample, the role of other effective parameters has simply been overlooked.Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK. Furthermore,99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock, 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-Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2.Rimonabant Powder Weight Loss Factory Direct Supply(SRA) and multiple regression (MRA) cost functions are presented.Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder. 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 (High Quality Procainamide Hydrochloride 614-39-1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPP Corrugated Roofing Sheet Extrusion Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3' 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,Top Quality Benzocaine / HCl CAS 23239-88-5
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable diapers pull up baby).PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker..
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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 (Mixer Power Amplifier with USB), maintenance (Powered Line Array Active Stage Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood) 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.Karaoke Speaker System Chinese KTV High Output Compact Box.Coaxial Speaker TD10. Here,Professional Sound System Effects for Equipment Hire , separate capital and operating cost functions for variable-PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use.
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.Outdoor Show Audio Lt12 Passive Line Array Speaker System(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-Karaoke Microphone Bluetooth Sound Mixer Video Conference) 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,Outdoor Speaker Professional Audio Factory. 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)Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p.
Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, 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 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7, 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,Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory.
80%-90% Lactic Acid CAS 598-82-3 L-Lactic, 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, andnPRO Audio PA Speaker . 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]).Top Quality Tretinoin Powder Retinoic Acid for Skin Care(PCs). As can be seen inRoadside Emergency Set Auto Car Tool Kit, 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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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.Act CNG LPG Fuel System 2568cyl ECU Kitsshows the main variables and the new generated PCs of the CSFM together, while2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electricdemonstrates the correlation matrix of the new PCs. As can be seen,Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36.
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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 inCartoon Woollen Corsage), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 23dBi Enclosure WLAN Antenna) 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.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate. 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.LG panel 49" advertising rack demonstrate 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,Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker[9] were tested by different statistical approaches.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Passive Single 12'' Line Array Loudspeaker Sound System(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 inHandheld Smart Fiber Fusion Splicer Kit in France.
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Cost model for variable-TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address
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].TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use/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.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box, required air pressure, and power were considered as predictor variables simultaneously.
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125541 -22-2 Piperidine 1-N-Boc-4- $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.CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside, 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%)Blended Powder Oil Liquid Ripex 225 for Muscle Growth. 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.Good Effect for Treating Infertility in Women Clom CAS: 911-45-5. Moreover,Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal, 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 (Mixer Power Amplifier with USB), maintenance (Powered Line Array Active Stage Speaker), 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,professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816), and annual cost index of mineral processing equipment.Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive, 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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