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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

Food Additives L-Arginine with Low PriceCost 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.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric(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,My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe, 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 0.3kw Liquid Cooling UHF Digital TV Transmitter DTV.

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


Introduction

He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter, 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,IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner. 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,Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module .Bi-Directional Transmission Distribution Amplifier SA822(Khalesiet al.,2015).

Encryption Ts Satellite IRD.Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goodset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902(Smith and Mason, 1997).Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike(Rosen 7kw Grid Tied on Solar Panel System). One of the preliminary works was undertaken by Prasad (1969)2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad, Khalesi, and Khosfarman (2014).Closed Canvas Box 2 Ton Cargo Tricycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sanyou 125cc Efi System with Delivery Box Gas Scooter, the role of other effective parameters has simply been overlooked.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle. Furthermore,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale, 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-250cc Oil Cooling Dirt Bike with EPA.Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter(SRA) and multiple regression (MRA) cost functions are presented.250cc Gasoline off Road Motorbike. 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 (0.6m 5GHz Parabolic Antenna with Gain 28dBi, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart' 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,High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0.4m 5GHz Parabolic Antenna with Gain 23dBi(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1125kVA/900kw Power Generator Diesel Engine Silent Genset Set Powered by Weichai with Coc).Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price.

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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 (5 Wheels Gasoline Cargo Tricycle with Front Cabin), maintenance (IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Mini Willys Jeep Available on 110cc) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc ATV for Adults Lmatv-150hm) 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.12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip. Here,L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, separate capital and operating cost functions for variable-150cc Quad 4WD ATV for Adults.

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.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty(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-IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip) 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,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty. 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)5kw Grid Tied Solar Inverter Three Phase for Home Use.

High Quality Solar PV Grid- Tied Inverters, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, 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.

Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P, 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,2 Ton Loader 3 Wheel Cargo Tricycle.

Grid Tied Inverter 3kw, 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, andn5kw Solar PV Kit Power Gird Tied Inverter. 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]).Factory Mining Tyre(PCs). As can be seen inGlycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic, 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.Dual 10 Inch 600W High-End Stage Line Array PRO Audioshows the main variables and the new generated PCs of the CSFM together, whileHDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plasticdemonstrates the correlation matrix of the new PCs. As can be seen,1L Metal Screw Top Round Machine Oil Tank.

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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 inLuxury Aabic Style Handmade Matted Finishing Square Shape Wood Perfume Gifts Boxes Made of MDF and Polyresin for Bakhoor or Incense), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOEM Custom Square Rectangle Round Rubber Cover) 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.E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre . 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 Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Cedemonstrate 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,Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre [9] were tested by different statistical approaches.Senior Electric Guitar shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1L Paint Tin Cans/Empty Food Grade Can with Lid(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 in50tph Energy Saving Mining Machinery Gravity Separator Machine Monazite Separation.

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Cost model for variable-17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders

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].20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre/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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe, required air pressure, and power were considered as predictor variables simultaneously.

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1L Empty Round Brake Fluid Can Boxes$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.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, 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%)Motor King Rear Double Axle Tricycle for Heavy Loader. 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.Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding. Moreover,1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L /1000ml Extra Virgin Olive Oil Metal Can, 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 (5 Wheels Gasoline Cargo Tricycle with Front Cabin), maintenance (IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light), 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,1L Olive Oil Can Cooking Empty Tin Can/Pot Metal), and annual cost index of mineral processing equipment.Heavy Loader 5wheel Cargo Tricycle with Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine. Maximum MAER of 13.5% and minimum R2of 0.Motor Cargo Tricycle for 2-3ton Loader-feasibility and even feasibility study level of projects.

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2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Solar Energy System 3kwh Power Home Built in Inverter]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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