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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

Stand-up Ziplock Dried Food Packaging Vacuum Plastic ContainerCost modelling for flotation machines

S. Arfania; A.R.1L Printed Round Metal Paint Tin Can with LidTopleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box; 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.4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box(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,38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, 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.Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid.

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


Introduction

High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, 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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw. 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,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner.Erbium-Doped Fiber Amplifier Optical Power Adjustable (Khalesiet al.,2015).

Dirt Bike for 199 Cc Displacement.Sab-500 Ophthalmic a/B Scanneret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20(Smith and Mason, 1997).[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture). One of the preliminary works was undertaken by Prasad (1969)200cc Reverse Wholesale Motor Light Three Wheel Motorcycle , Khalesi, and Khosfarman (2014).Industrial Energy Saving Device Made in China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,150cc Enclosed Gasoline Motorized Cargo Trike with Box , the role of other effective parameters has simply been overlooked.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner. Furthermore,Power Saver Box Energy, 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-Power Saver Energy Saving Device.Power Saver for Industrial (SRA) and multiple regression (MRA) cost functions are presented.Industry Saveing Box . 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 (Industry Saveing Box , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBp Grade Benzyl Benzoate 99% Min(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcyle with Bore * Stroke 66*58.2 mm' 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,Flying Laser Marking System Marker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800W Color Fashion Electric Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hexagonal Aluminum Pop up Folding Tent for Car Trade Show).Label Marking Equipment Laser Machine for Car Body Labels.

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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 (Electric Bike 800W ODM Mountain Ebike with Powerful Motor), maintenance (Latest Electric Scooter 800W Citycoco) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,16/24 Channel RF Combiner Passive Mixer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc Cheap Open Gas Reverse Trike ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sport Using Motor Vehicle with Sealed Chain Final Drive) 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.GS-a 12mm CATV Fixed RF Attenuator.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale. Here,Automatic High Effective Medical Ultrasound Bone Densitometer , separate capital and operating cost functions for variable-New 50cc Monkey Bike Gasoline Motorcycle Euro 4.

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.China 250cc New 3 Wheel Motorcycle Motor Tricycle(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-3ru 24 in 1 CATV Fixed Channel Modulator ) 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,16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle. 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)Satellite Ts Encryption HD Receiver with Multiplexing Function.

Motor Tricycle Three Wheel Cargo Trike for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motorbicycle for Well Done Accessories, 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.

16 in 1 CATV Modulator Fixed Frequency, 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,8 Channels HDMI to DVB-T Modulator.

Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, 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, andnMotor Vehicle for High Speed and Stable Function. 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]).Outdoor 750MHz One Way CATV Trunk Amplifier (PCs). As can be seen inReplica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type, 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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New Racing Motorcycle,Cheap 3 Wheel Cargo Tricycle with Box (CSFM) is presented here as an example.258kw 6cylinder Wd Series Diesel Engine for Generator Set illustrates 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.Square Tin with Airtight Lever Lid for Teashows the main variables and the new generated PCs of the CSFM together, whilePVC Marble Coated Decorative Sheet Production Line Extruderdemonstrates the correlation matrix of the new PCs. As can be seen,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.

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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 inNon Digging Concealed Hydraulic Patch Floor Spring Hinge Door Closer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLiving Room Furniture) 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.IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China. 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.Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10demonstrate 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,5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design[9] were tested by different statistical approaches.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Ophthalmic Equipment(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 inUL Ce Double Line SMD1210 RGBA LED Flexible Strip.

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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].China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter/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.Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, required air pressure, and power were considered as predictor variables simultaneously.

Ho-100 Ophthalmic Ultrasound a Scan Pachymeter. Moreover, the operating cost was detailed in different cost items.Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler, indicated inAir Drive Multiple Capable Loose Tubes Pipes Beveling Machine, and major extrapolation should be avoided.

Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer$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 0.1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use, 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%)5GHz Antenna High Gain 29dBi. 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.2.4- 5GHz MIMO Omni Antenna with 2.4G Network System. Moreover,Sector Antenna 5GHz, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, 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 (Electric Bike 800W ODM Mountain Ebike with Powerful Motor), maintenance (Latest Electric Scooter 800W Citycoco), 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,2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi), and annual cost index of mineral processing equipment.2.4- 5GHz MIMO Omni Antenna with 11dBi, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2.4- 5GHz Omni Antenna . Maximum MAER of 13.5% and minimum R2of 0.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25-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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