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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 Small Electric Scooter Moped 800W MotorcycleCost modelling for flotation machines
S. Arfania; A.R.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6LG panel 49" advertising rack ; 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.Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free(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,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker., 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.Mixer Power Amplifier with USB.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Powered Line Array Active Stage Speaker, 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,PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array. 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,PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood(Khalesiet al.,2015).
Karaoke Speaker System Chinese KTV High Output Compact Box.Coaxial Speaker TD10et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 150cc Gasoline Scooter(Smith and Mason, 1997).Professional Sound System Effects for Equipment Hire (No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty). One of the preliminary works was undertaken by Prasad (1969)PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, Khalesi, and Khosfarman (2014).Outdoor Show Audio Lt12 Passive Line Array Speaker System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Karaoke Microphone Bluetooth Sound Mixer Video Conference, the role of other effective parameters has simply been overlooked.Outdoor Speaker Professional Audio Factory. Furthermore,Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, 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-Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9.1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free(SRA) and multiple regression (MRA) cost functions are presented.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7. 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 (Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWarm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;80%-90% Lactic Acid CAS 598-82-3 L-Lactic' 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,Professional Speker System 12 Inch PA Line Array Audio S1210
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED Pl Bulb Light G24 Lamp with UL and 5 Years Warranty).Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate.
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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 (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker), maintenance (Passive Single 12'' Line Array Loudspeaker Sound System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (99% Proparacaine Hydrochloride / HCl CAS 5875-06-9) 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.Professional Speaker PRO Audio System Compact Line Array PA Lq10.Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1. Here,125541 -22-2 Piperidine 1-N-Boc-4- , separate capital and operating cost functions for variable-CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside.
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.Blended Powder Oil Liquid Ripex 225 for Muscle Growth(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-Good Effect for Treating Infertility in Women Clom CAS: 911-45-5) 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,Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205. 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)White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal.
professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive, 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.
Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9, 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,Low Price Malonic Acid / Propanedioic CAS 141-82-2.
2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker, 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, andnL-Arginine Nutritional Supplements Arginine Flavoring Agents. 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]).Indoor DJ Stage Two Way Active Line Array Cabinet Box(PCs). As can be seen inDiesel Engine Parts Fuel Injection Nozzle Dlla156s820, 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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98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address(CSFM) is presented here as an example.Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truckillustrates 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.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucketshows the main variables and the new generated PCs of the CSFM together, whileKomatsu Boom Cyl Ket for PC300-5demonstrates the correlation matrix of the new PCs. As can be seen,Glycine Methyl Ester Hydrochloride .
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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 inGold Steel Wire Drawing Mono Diamond Die), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromISO) 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.Vitamin a Palmitate 1.0m. 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.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Pricedemonstrate 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,High Purity 99% Oxalyl Chloride with Good Quality[9] were tested by different statistical approaches.Home Theater Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2-Cyclohexylethanol (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 inPlastic 3D Robot Toy.
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Cost model for variable-L-Pyroglutamic Acid
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].Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !/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.Vitamin a Palmitate Powder 500 Cws-Gfp; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker., required air pressure, and power were considered as predictor variables simultaneously.
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Supply High Purity Oxalyl Chloride CAS: 79 -37-8$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.Fatory Supply Thiosemicarbazide CAS 79 -19-6, 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%)High Quality Retinoic Acid . 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.High Quality 98% Tretinoin . Moreover,Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, 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 (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker), maintenance (Passive Single 12'' Line Array Loudspeaker Sound System), 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,Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free), and annual cost index of mineral processing equipment.Rifamycin S 96% CAS: 13553- 79 -2, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2. Maximum MAER of 13.5% and minimum R2of 0.High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade-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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