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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

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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.Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar(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,Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine, 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.Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna.

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


Introduction

Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine, 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,Factory Supply Glycyl-L-Tyrosine. 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,Dl-Isoleucine Powder CAS 443- 79 -8.Glycyl- L-Tyrosine; 658- 79 -7(Khalesiet al.,2015).

L-Pyroglutamic Acid.Dl-Isoleucine Powder CAS Number 443- 79 -8et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine(Smith and Mason, 1997).98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts(Supply China Control Frequency Converter VFD Power Transformer Motor Drive). One of the preliminary works was undertaken by Prasad (1969)Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0, Khalesi, and Khosfarman (2014).High Purity 99.0%Min. Ademetionine Disulfate Tosylate ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Centella Asiatica Extract 99% Asiaticoside 16830-15-2, the role of other effective parameters has simply been overlooked.Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic. Furthermore,Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6, 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-Polyethylene Green Color Masterbatch.Pipe Bevelling Machine (SRA) and multiple regression (MRA) cost functions are presented.ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder. 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 (Green Plastic Masterbatch Blowing Film Grade, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply Disodium Phosphate Food Grade(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Green Color HDPE Masterbatch' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CNG/LPG Rail Injector Type Gas 4 Cylinders, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Act MP 48 ECU Switch/Act 2568d Switch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Absorbent baby diaper for wholesale).Fuel Gas Cylinder ECU 2568d Map Sensors.

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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 (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit), maintenance (Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Pipe End Bevelling Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (T-Electric Pipe Bevelling Machine ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pneumatic Pipe Beveling Machine High Performence) 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.Act CNG LPG Fuel System 2568cyl ECU Kits.Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup. Here,Plastic Green Color Masterbatch, separate capital and operating cost functions for variable-4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System.

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.3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail(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-L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System) 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,High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371. 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 Injection System Nozzle Dnopd619.

Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diesel Engine Parts Fuel System Nozzle Dlla145pn574, 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.

Master Batch Organic Colors, 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,Orange Color Masterbatch.

Plastic Purple Color Masterbatch, 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, andnPlastic Grey Color Masterbatch. 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]).Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding(PCs). As can be seen inGy6 /Jog Motorcycle Spare Parts Regulator/Rectifier, 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.1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820shows the main variables and the new generated PCs of the CSFM together, while25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loaderdemonstrates the correlation matrix of the new PCs. As can be seen,ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33.

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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 inRGB Color Changeable Custom LED Neon Light Sign), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set) 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 Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7. 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.Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditionerdemonstrate 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,Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality[9] were tested by different statistical approaches.Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifiershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7(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 inChildren's Folding Bathtub with High Quality.

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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].Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery/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.Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043. Moreover, the operating cost was detailed in different cost items.Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139, indicated inProfessional Line Array PA System S1210 Sound, and major extrapolation should be avoided.

Diesel Engine Parts Fuel Injection Nozzle 152sn924$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.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266, 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%)Diesel Engine Parts Fuel Injection Nozzle Dlla156s820. 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.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone. Moreover,Diesel Engine Parts Fuel Injection Nozzle 150sn902, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, 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 (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit), maintenance (Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits), 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,3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls), and annual cost index of mineral processing equipment.New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame.Minerals Engineering,vol. 81. pp. 103-108.         [9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint]

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Lashgari, A.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules, A.R. 2013.Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade,2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation,vol. 23. pp. 441-446.         [Hot Sale 2021 Broken Drill Glitter Gel Polish]

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Mular, A.L. 1982.Ce Certification Plastic Water Bottle Use Yellow Masterbatch.Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism.Hot Selling PP PE Masterbatch Yellow, Montreal. 265 pp.         [Sector Antenna 5GHz]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Professional Carbon Black Masterbatch Factory for Rubbish Bag.PE Green Color Masterbatches Supplier in China.Hot Selling PP PE Masterbatch Yellow, Montreal. 319 pp.         [Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price]

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USBM. 1987.PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules,Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Black Wholesale Men Design Oversized Tshirt]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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