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Factory Price Building Roofing Materials Prepainted Galvanized Steel Sheet
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
Double 10inch Line Array Speaker Q1+Q Sub with Neodymium MagnetCost modelling for flotation machines
S. Arfania; A.R.Food Grade Addictive Disodium Phosphate DSP10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with; 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.Disodium Phosphate Anhydrous CAS No 7558- 79 -4(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,Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4, 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.K05/K10/ K20 /K30/K40 Tungsten Carbide Flat.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Changhong Film Stack Flexo Printing Machine, 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,Xft- 710 Axial Flow Fire Smoke Fan. 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,Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors.Disperse Violet 26 Dyes(Khalesiet al.,2015).
Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye.Disperse Dyestuff Violet S3rl 200% C. I. 63et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0(Smith and Mason, 1997).Pigment Violet 1 or Fast Rose Toner/Fast Lake(150ah Lithium Iron Phosphate ). One of the preliminary works was undertaken by Prasad (1969)Disperse Dyestuff Violet 200% P-CF for Textile, Khalesi, and Khosfarman (2014).Disperse Red/Blue/Orange/ Violet /Black; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Disperse Dyestuff Violet Recp-Hf 100% for Textile, the role of other effective parameters has simply been overlooked.Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components. Furthermore,Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance, 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-Super Popular Endless Swimming Pool with Jacuzzi SPA for Market.Massage Bathtub(SRA) and multiple regression (MRA) cost functions are presented.PA Filler Masterbatch for Injection Moulding. 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 (Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Laswim Endless Pool/Counter Flow Pool' names:
►Double Slipper Two Upper End Freestanding Soaking New Bath Tub: based on 36-foot,Jacuzzi Massage Endless Swimming Pool Swim SPA,2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA,PP Corrugated Roofing Sheet Extrusion Machine, 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,Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jwell - Thermoplastic Polyurethane Film Extrusion Machine, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Besuper baby diaper machine made it sleepy).Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line.
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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 (Diesel Engine Parts Fuel Injection Nozzle Dlla150p249), maintenance (Polythene Plastic Sheet Making Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189. Here,Xft- 710 Axial Flow Fire Extinguisher Fan, separate capital and operating cost functions for variable-Diesel Engine Parts Fuel Injection Nozzle Dlla155p274.
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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049(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-Diesel Engine Parts Fuel Injection Nozzle Dlla155p273) 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,Diesel Engine Parts Fuel Injection Nozzle Dlla154p332. 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)Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006.
High Quality Nickel Alloy Monel 400 , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4, 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.
Disperse Violet 63, 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,Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester.
Disperse Red 11 or Brill Pink 4bn, 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, andn94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4. 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]).Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes(PCs). As can be seen in2 Wheel Electric Motorcycle with Lead Battery, 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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Pigment Violet 23 Liquid,Asapp-II Ammonium Polyphosphate for Intumescent Paints (CSFM) is presented here as an example.Vrx932la Dual Voice Coil Line Array Speaker Boxillustrates 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.1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blowershows the main variables and the new generated PCs of the CSFM together, whileGy6 150cc Gasoline Scooterdemonstrates the correlation matrix of the new PCs. As can be seen,Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4.
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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 inPocket Perfume), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPrinted Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up) 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
Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9
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.Sodium Phosphate Dibasic CAS No 7558- 79 -4. 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.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectantdemonstrate 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,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4[9] were tested by different statistical approaches.TUV Ce Europe Popular 6000W Grid Tied Home Solar Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Boring Machine Tools Micro Head F1type CNC Heads Set(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 inCar Wrapping Vinyl Carbon Fiber Self Adhesive Stickers.
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Cost model for variable-Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling
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].High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine/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.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.
Supply Ammonium Polyphosphate APP . Moreover, the operating cost was detailed in different cost items.Sdc Shrink Collet Chuck Toolholders for CNC Machine Part, indicated inNovel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5, and major extrapolation should be avoided.
Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar$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.UNS NO2200 Nickel Plate, 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%)Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla148p591. Moreover,Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Diesel Fuel Injection Nozzle Dlla160pn141, 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 (Diesel Engine Parts Fuel Injection Nozzle Dlla150p249), maintenance (Polythene Plastic Sheet Making Machine), 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,Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts), and annual cost index of mineral processing equipment.Diesel Engine Parts Fuel System SD265 Nozzle, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada. Maximum MAER of 13.5% and minimum R2of 0.Vat Violet 13-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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