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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

Lidocaine Hydrochloride CAS 73-78-9 HClCost modelling for flotation machines

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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.Uns No6600 Inconel600 Steel Plate(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,Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276., 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.Alloy Inconel 625 Nickel Strip .

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

Diesel Engine Parts Fuel Injection Nozzle 148pn306, 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,Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320. 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,Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto.Perkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410(Khalesiet al.,2015).

Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710.Virgin PA12 Resin GF20 GF30 Pelletset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5(Smith and Mason, 1997).PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized(White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal). One of the preliminary works was undertaken by Prasad (1969)Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8, Khalesi, and Khosfarman (2014).Trimethyl Cis; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fast Delivery High Purity Benzaldehyde 100-52-7, the role of other effective parameters has simply been overlooked.Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223. Furthermore,Swimming SPA Pool Hot Tub Combo, 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-Zhejiang Province Acrylic Standing Alone Bathtubs.Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB(SRA) and multiple regression (MRA) cost functions are presented.Perkins Genuine Cyl Head Assy . 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 (Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712' 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Alcohol Benzene Polyamide Ink Resin, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Slim HDMI 19 Pin Plug-Plug Cable for 4K & HDTV with Black Plug).Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect.

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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 (Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine), maintenance (Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Powerful Cheap Mountain Bike Bicycle) 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.Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor.Polyamide Resin Hot Melt Adhesive. Here,Polyamide Resin, separate capital and operating cost functions for variable-Co-Soluble Polyamide Resin with Top Quality.

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.Alcohol Polyamide Resin for Printing Ink(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-Popular Alcohol Soluble Polyamide Resin for Gravure Ink) 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,Polyamide Resin with Benzene Soluble for Printing Inks. 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)Alcohol Soluble Polyamide Resin for Printing Ink.

Supply Rosin Modified Polyamide Resin for Paint, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%, 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.

High Quality Benzaldehyde with Fast Delivery, 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,Supply Alcohol Soluble Polyamide Resin for Ink.

CAS No. 151103-09-2 4- , 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, andnSophisticated Price of Polyamide Resin for Whosale. 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]).100% Purity Phenol Polyamide Resin(PCs). As can be seen in0.25mm Natural Wood Face Veneer, 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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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.5L Chemical Oil Tinplate Can with Metal Press Covershows the main variables and the new generated PCs of the CSFM together, whileProfessional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801demonstrates the correlation matrix of the new PCs. As can be seen,100% High Purity Polyamide Resin for Ink.

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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 in2021 Factory Wholesale Fashion Jewelry Wedding Brooch), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNo Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip) 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.Polyamide Resin. 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.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatorydemonstrate 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,Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy[9] were tested by different statistical approaches.2way Indoor Club Party Wedding Line Array 15inch Sound Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Geomembrane Making Machine(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 inNew Model Fashionable 925 Sterling Silver Jewelry Diamond Hip Hop Pendant Charms.

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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].26 Inch Mountain Bike From China Bicycle/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.PE Waterproof Roll Extrusion Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276., required air pressure, and power were considered as predictor variables simultaneously.

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6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike$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.Bike Hidden Folding Mountain Ebike Suspension Bicycle, 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%)Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine. 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.Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber. Moreover,Hot Sale Am 20 "Mountain Bike with 21 Speeds, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints, 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 (Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine), maintenance (Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect), 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,Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902), and annual cost index of mineral processing equipment.Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Iron Oxide Yellow for Pet Feeds. Maximum MAER of 13.5% and minimum R2of 0.Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer-feasibility and even feasibility study level of projects.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [20MHz RF Best Technology for Skin Tighten]

Lashgari, A.Weather Resistance Nylon Polyamide Resin, A.R. 2013.High Purity 2,Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam,vol. 23. pp. 441-446.         [Impact Crusher]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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