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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

Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-TypeCost modelling for flotation machines

S. Arfania; A.R.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802hHot Sale and Competitive Price Electric Motorcycle Scooter for Daily; 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.200cc Reverse Wholesale Motor Light Three Wheel Motorcycle (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,Industrial Energy Saving Device Made in China, 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 0.150cc Enclosed Gasoline Motorized Cargo Trike with Box .

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


Introduction

Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, 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,Power Saver Box Energy. 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,Power Saver Energy Saving Device.Power Saver for Industrial (Khalesiet al.,2015).

Industry Saveing Box .Industry Saveing Box et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming(Smith and Mason, 1997).Motorcyle with Bore * Stroke 66*58.2 mm(258kw 6cylinder Wd Series Diesel Engine for Generator Set ). One of the preliminary works was undertaken by Prasad (1969)Electricity Saving Device 600amp , Khalesi, and Khosfarman (2014).250cc Motor Cabin Tricycle Cargo with Canopy; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price, the role of other effective parameters has simply been overlooked.Flexible Label Laser Marking Machine. Furthermore,Flying Laser Marking System Marker, 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-800W Color Fashion Electric Motorcycle.20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine(SRA) and multiple regression (MRA) cost functions are presented.Label Marking Equipment Laser Machine for Car Body Labels. 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 (Electric Bike 800W ODM Mountain Ebike with Powerful Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSquare Tin with Airtight Lever Lid for Tea(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Latest Electric Scooter 800W Citycoco' 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,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Automatic High Effective Medical Ultrasound Bone Densitometer , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New 50cc Monkey Bike Gasoline Motorcycle Euro 4(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wedding Dresses).China 250cc New 3 Wheel Motorcycle Motor Tricycle.

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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 (3ru 24 in 1 CATV Fixed Channel Modulator ), maintenance (16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Satellite Ts Encryption HD Receiver with Multiplexing Function.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motor Tricycle Three Wheel Cargo Trike for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorbicycle for Well Done Accessories) 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.16 in 1 CATV Modulator Fixed Frequency.8 Channels HDMI to DVB-T Modulator. Here,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, separate capital and operating cost functions for variable-Motor Vehicle for High Speed and Stable Function.

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.Outdoor 750MHz One Way CATV Trunk Amplifier (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-China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box) 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,New Racing Motorcycle. 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)Cheap 3 Wheel Cargo Tricycle with Box .

Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motorcycle for 1405mm of Wheel Base, 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.

IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China, 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,5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design.

China Ophthalmic Equipment, 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, andnHot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price. 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]).China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter(PCs). As can be seen inFoil Liquid Packaging Stand up Spout Pouch Food Bag, 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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Ho-100 Ophthalmic Ultrasound a Scan Pachymeter,Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler(CSFM) is presented here as an example.Living Room Furnitureillustrates 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.200kw Grid Tied Solar System for Factory Useshows the main variables and the new generated PCs of the CSFM together, whileProfessional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10demonstrates the correlation matrix of the new PCs. As can be seen,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer.

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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 inFDA certified stainless steel diaphragm valve with exhaust), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPolyamide Resin for Gravure Plastic and Paper Printing Ink) 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 0.5GHz Antenna High Gain 29dBi. 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.Melamine Molding Powder for Making Tableware Dishware Chinademonstrate 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,2.4- 5GHz MIMO Omni Antenna with 2.4G Network System[9] were tested by different statistical approaches.Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pumpshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sector Antenna 5GHz(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 inWomen's Fuzzy Knitted Sweater Crew-Neck Long Sleeve Side Split Loose Casual Knit Pullover Blouse.

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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].2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi/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.2.4- 5GHz MIMO Omni Antenna with 11dBi; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Industrial Energy Saving Device Made in China, required air pressure, and power were considered as predictor variables simultaneously.

2.4- 5GHz Omni Antenna . Moreover, the operating cost was detailed in different cost items.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25, indicated inPower Amplifier Module Board + Made in China 400 Watt AMP, and major extrapolation should be avoided.

1L Tin Can for Oil$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.Trade Peak Lowest Price for 150cc ATV, 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%)L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20. 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.2021 New China Adult Tricycle Motor Cargo for Sale. Moreover,Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern., and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price, 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 (3ru 24 in 1 CATV Fixed Channel Modulator ), maintenance (16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle), 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,Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket), and annual cost index of mineral processing equipment.2021 New Model 125cc 150cc Ce Approval off Road ATV, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25. Maximum MAER of 13.5% and minimum R2of 0.40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder-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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