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Stainless Steel Farm Milk Chilling Tank
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
Bike Hidden Folding Mountain Ebike Suspension BicycleCost modelling for flotation machines
S. Arfania; A.R.Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2T-Type Electric Beveling Machine ; 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.High Purity Ethylamine HCl(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,Steel Circle for PA Speaker Parts 16*3h , 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.PA Speaker Cabinet Accessories .
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Professional Audio Loudspeaker PA Stage Active Line Array, 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,PA Speaker Accessories and Parts . 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,PA System with Rigging Shackle Hardware Parts M25 .New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci(Khalesiet al.,2015).
Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA.Power Column Speaker PA Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 100% Copper Wire St-5kw Single Phase Brush Generator(Smith and Mason, 1997).Speaker Wall Mounting Bracket (E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits). One of the preliminary works was undertaken by Prasad (1969)Single 18'' High Power Speaker Subwoofer, Khalesi, and Khosfarman (2014).Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl, the role of other effective parameters has simply been overlooked.Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9. Furthermore,Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine, 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-The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2.Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock(SRA) and multiple regression (MRA) cost functions are presented.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. 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 (2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use' 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,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PRO Audio with Tweeter Horn for Line Array , blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Lovely White Diamond Jewelry 925 Sterling Silver Cushion Shape Pendant Charm).Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder.
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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 (GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2), maintenance (Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales) 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.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5. Here,Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , separate capital and operating cost functions for variable-High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales.
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.New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi(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-New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci) 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,PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118. 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)Home Theater PA PRO Audio Speaker.
PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Kara Line Array, 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.
Three-Way Large Touring Performance Line Array System PA Speaker, 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,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3.
Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8, 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, andnFdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA 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]).Best Quality Safe Delivery 1(PCs). As can be seen inGo Kart , 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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Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8(CSFM) is presented here as an example.Powder Metallurgy Hot Press Sintering Furnaceillustrates 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.High Quality Electric Scooter Factoryshows the main variables and the new generated PCs of the CSFM together, whileHPM128 High stability Explosion-proof Pressure Transmittedemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturers Supply .
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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 inUltra Slim 800lm LED Neon Flex with Ce RoHS Approval), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17) 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.High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9. 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.Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motordemonstrate 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,Steel Wall Bracket for Speaker with Quick Release Pin [9] were tested by different statistical approaches.Industry Saveing Box shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8(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 inJoneng Stainless steel equipment Three-bit pneumatic butterfly valve.
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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].99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample/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.Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Steel Circle for PA Speaker Parts 16*3h , required air pressure, and power were considered as predictor variables simultaneously.
Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8. Moreover, the operating cost was detailed in different cost items.Tetracaine HCl CAS136-47-0, indicated inNicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights, and major extrapolation should be avoided.
Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion$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.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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%)Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0. 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.Melamine Molding Powder for Making Tableware Dishware China. Moreover,Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (8X4" Active Column PA Speaker, 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 (GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2), maintenance (Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA 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,Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl), and annual cost index of mineral processing equipment.Professional Speaker with Hanging Hardware Parts Horizontal , and over- extrapolation could result in misguiding estimates.
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References
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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol.PA Speaker with Horn Parts 210L*62W*105h 1"X2 , Montreal. 319 pp. [Highly Effective Deltamethrin ]
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Professional Audio Kara Line Array, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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