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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
New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PROCost modelling for flotation machines
S. Arfania; A.R.Wireless PA System for Classroom and ChurchSapele Veneer Plywood Sheet for Wood Furniture and Decoration; 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.All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf(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 PRO Audio Speaker Back Plate , 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.Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730, 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,Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729. 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf.Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5(Khalesiet al.,2015).
Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5.Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP(Smith and Mason, 1997).Speaker PS10(Motorcyle for Both Oil and Water Cooling). One of the preliminary works was undertaken by Prasad (1969)30W PA Active Computer 5.1 System Inexpensive Speaker, Khalesi, and Khosfarman (2014).Steel Speaker Cabinet Top Hat with M20 Thread Inside ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Big Subwoofer Line Array Speaker , the role of other effective parameters has simply been overlooked.Ts218 Dual 18" Speakers Subwoofer Speaker Box. Furthermore,Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s, 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-Two-Way Full Range 1000W Professional Power Speaker.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical(SRA) and multiple regression (MRA) cost functions are presented.Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6. 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 (China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse' names:
►CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical: based on 36-foot,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c,High Qualty Line Array Loudspeaker, and level control
►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,DSP Active Line Array Speaker
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3015c 1000W CNC Fiber Laser Cutter Germany Ipg).New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220.
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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 (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820), maintenance (Recording Studio Equipment Vera Series Super Power Speaker Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820) 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.Line Array Horn of Professional Audio 170L*160W*140h 1" .Single 18'' Low Frequency Sub-Bass. Here,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, separate capital and operating cost functions for variable-Outdoor PRO Audio Loudspeaker.
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.Doule 8'' Mini Line Arry Loudspeaker(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-Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp) 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,Vera12 New Design 800watts 12" Audio System Line Array. 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)Single 15 Inch High Quality Bass.
Professional Audio Speaker Column Sound Equipment, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820, 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.
Srx715 Sing 15" Professional 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,Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array.
Small Column White Color Church Conference Room Speaker, 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, andnArc Shaped Column Speaker for Restaurant and Shopping Mall. 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]).Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer(PCs). As can be seen inChina Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, 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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Theater Professional Line Array Speaker,15' Water-Proof Installation Long-Throw Speaker with 100V Transformer(CSFM) is presented here as an example.Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Enginesillustrates 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.China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileCAS No.: 63428-84-2 Polyamide Resindemonstrates the correlation matrix of the new PCs. As can be seen,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer.
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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 inPF1010 PF -1210 PF1214 Construction Small Basalt Gravel Impact Crusher), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEmpty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush) 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.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price. 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.Top Grade Cross-Country Motorcycle Tire 120/90-18demonstrate 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,Free Clearance Surface Anesthesia of Eyes[9] were tested by different statistical approaches.Sunpal 150kw Solar Grid Tied System Low Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6(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 inSparkling Glitter Pieces Nail Polish Kit DIY Christmas Decoration.
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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].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/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.Vrx932 Horn Line Array Professional Manufacturer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Steel PRO Audio Speaker Back Plate , required air pressure, and power were considered as predictor variables simultaneously.
Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819. Moreover, the operating cost was detailed in different cost items.Srx715 Single 15" Speaker Cabinet PRO Audio System, indicated inFood Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, and major extrapolation should be avoided.
Vera 12 Loudspeaker Line Array Speaker System$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.Professional Loudspeaker Column Speaker Line Array with L7, 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%)Single 15" Plastic Powered Speaker. 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.Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse. Moreover,Double 6" Professional Speaker Line Array, 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 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate, 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 (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820), maintenance (Recording Studio Equipment Vera Series Super Power Speaker Box), 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,Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample), and annual cost index of mineral processing equipment.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Best Quality Valerophenone CAS 1009-14-9 Ukraine. Maximum MAER of 13.5% and minimum R2of 0.Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5-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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