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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
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S. Arfania; A.R.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio250cc Three Wheel Cargo Motor Tricycle ; 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.GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6(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,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, 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.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Safe Shipping Sarms Powder ACP-105, 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,99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price. 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,Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin .Shiny Fenacetin Crystal and Non Powder(Khalesiet al.,2015).
Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1.Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Portable 15inch PA Speaker F15+(Smith and Mason, 1997).BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5(Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2). One of the preliminary works was undertaken by Prasad (1969)Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, Khalesi, and Khosfarman (2014).Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, the role of other effective parameters has simply been overlooked.Hot Sell Isopropyl Alcohol 99.9%. Furthermore,Speaker Wall Bracket White/Black , 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-High Security Door Peephole Eyes Viewer DV3828b .Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder(SRA) and multiple regression (MRA) cost functions are presented.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3. 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 (Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSrx715 Sing 15" Professional Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk' 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,Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Dimethyl 2, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Low Price DC12V 86 Box RFID Card Reader Standalone Fingerprint Access Control).Overseas Warehouse Fast Delivery Organic Chemicals .
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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 (China Ethyl 2-Bromovalerate Liquid CAS 615-83-8), maintenance (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Supply Ethyl Valerate CAS 539-82-2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Organic Chemicals Pharmaceutical Intermediate ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3) 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.4'' Installation Professional Waterproof Speaker.Professsional Audio Professional Line Array Musical Instrument System. Here,Vera12 Single 12" The Most Economical Line Array Sound System, separate capital and operating cost functions for variable-180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820.
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.4 Inch Waterproof Installation Professional Speaker with 100V Fdb 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-Alu. Speaker Mount Wall Bracket ) 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,Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV. 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)High Quality 8'' Coaxial Audio Speaker for Long Throw Distance.
Wall Mount Speaker Bracket , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, 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.
Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, 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,Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t.
Wireless PA System for Classroom and Church, 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, andnAll-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf. 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]).Steel PRO Audio Speaker Back Plate (PCs). As can be seen inAC Fan Frequency Inverter VFD 3pH 15kw, 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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Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730,Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729(CSFM) is presented here as an example.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTVillustrates 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.10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.shows the main variables and the new generated PCs of the CSFM together, while30kw Grid Tied Solar Power System Home Popular in Philippinesdemonstrates the correlation matrix of the new PCs. As can be seen,All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf.
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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 inBasic Dyes Red 12), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVeterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl) 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.Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5. 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.Factory Produce Natural Face Veneer Size 1220X1830X0.25mmdemonstrate 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,Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer[9] were tested by different statistical approaches.Line Array of Parts for PRO Audio Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Speaker PS10(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 inCanned Champignons Whole in Brine.
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Cost model for variable-30W PA Active Computer 5.1 System Inexpensive Speaker
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].Steel Speaker Cabinet Top Hat with M20 Thread Inside /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.Big Subwoofer Line Array Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, required air pressure, and power were considered as predictor variables simultaneously.
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Two-Way Full Range 1000W Professional Power Speaker$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 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, 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 Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6. 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.China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149. Moreover,Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, 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 (China Ethyl 2-Bromovalerate Liquid CAS 615-83-8), maintenance (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks), 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,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6), and annual cost index of mineral processing equipment.Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,High Qualty Line Array Loudspeaker. Maximum MAER of 13.5% and minimum R2of 0.DSP Active Line Array Speaker-feasibility and even feasibility study level of projects.
References
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Prasad, L. 1969.Small Column White Color Church Conference Room Speaker.Arc Shaped Column Speaker for Restaurant and Shopping Mall, Metallurgy and Petroleum, Montreal. pp. 3-15. [High Feedback Tied Malaysian Virgin Hair]
Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush]
Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385. [Reactor Pumps]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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