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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
China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel LoaderCost modelling for flotation machines
S. Arfania; A.R.15' Water-Proof Installation Long-Throw Speaker with 100V TransformerBreaker Lock; 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.Guangzhou Skytone Vera S18 18'' New Design Line Array 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,Double 6inch Powered Line Array Speaker, 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.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Free Clearance Surface Anesthesia of Eyes, 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,Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6. 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,High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock.CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plastics(Khalesiet al.,2015).
Vrx932 Horn Line Array Professional Manufacturer.Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Scooter with Stable Function and Nice Outside Looking(Smith and Mason, 1997).Srx715 Single 15" Speaker Cabinet PRO Audio System(1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery). One of the preliminary works was undertaken by Prasad (1969)Vera 12 Loudspeaker Line Array Speaker System, Khalesi, and Khosfarman (2014).Professional Loudspeaker Column Speaker Line Array with L7; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Single 15" Plastic Powered Speaker, the role of other effective parameters has simply been overlooked.Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse. Furthermore,Double 6" Professional Speaker Line Array, 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-CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate.Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample(SRA) and multiple regression (MRA) cost functions are presented.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine. 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 (Best Quality Valerophenone CAS 1009-14-9 Ukraine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5' 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,Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Single 12" Plastic Waterproof Speaker, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (P3.91 Digital Screen Module Stage Background Video Advertising LED Screens).Powered Concert Theater High Performance PA System Power Sub Bass.
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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 (2way Indoor Club Party Wedding Line Array 15inch Sound System), maintenance (12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Active Powered Line Array Speaker Mini 5 Inch Audio.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Professional Dual 15" Multi-Purpose Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca) 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.New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO.Srx725 Dual 15" PRO Audio Speaker Box. Here,3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36, separate capital and operating cost functions for variable-Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15.
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.Double 12'' Line Array Audio(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-Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12) 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,DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker. 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)15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor.
USP Level Isopropyl Alcohol 99.9%, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System, 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.
Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4, 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,Top Quality and Best Price for Isopropyl Alcohol 99.9%.
Bp Grade Benzyl Benzoate 99% Min, 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, andnRompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping. 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]).White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic(PCs). As can be seen inFree Sample Color Masterbatch ABS PE Non Toxic for Injection Molding, 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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High Purity Ethylamine HCl,Steel Circle for PA Speaker Parts 16*3h (CSFM) is presented here as an example.ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packingillustrates 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.Hot Smart Electric Scooter 60V800W Power Motor with USBshows the main variables and the new generated PCs of the CSFM together, whilePyridinecas Number 110//86//1 Used as Chemical Reagentdemonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker Cabinet Accessories .
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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 inIsland Bianco Antico Granite), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers) 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.PA Speaker Accessories and Parts . 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.High Polyamide Resindemonstrate 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,PA System with Rigging Shackle Hardware Parts M25 [9] were tested by different statistical approaches.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiroshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci(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 inUL Ce Double Line 240LEDs/M SMD1210 RGBA LED Strip.
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Cost model for variable-Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA
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].Power Column Speaker PA System/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.Speaker Wall Mounting Bracket ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Double 6inch Powered Line Array Speaker, required air pressure, and power were considered as predictor variables simultaneously.
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99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl$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.Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9, 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%)Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine. 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.The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2. Moreover,Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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 (2way Indoor Club Party Wedding Line Array 15inch Sound System), maintenance (12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS), 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,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds), and annual cost index of mineral processing equipment.Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale. Maximum MAER of 13.5% and minimum R2of 0.Active Compact Column PA Speaker Powered Loudspeaker Point Source-feasibility and even feasibility study level of projects.
References
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Lashgari, A.Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5, A.R. 2013.Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder,GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2,vol. 23. pp. 441-446. [Custom Logo Bio Plastic Degradable Shipping Envelopes Mail Express Packaging Bag]
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Mular, A.L. 1982.Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5.High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, Montreal. 265 pp. [150cc ATV for Adults Lmatv-150hm]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5.Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h .Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, Montreal. 319 pp. [MBN1503 PA Woofer ]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [Cafe Bar Table Wrought Iron Home Living Room Dining]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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