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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

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S. Arfania; A.R.1L Custom Round Small Metal Empty Tin Cans with LidsSodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7; 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.2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty(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,500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , 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 0.1L Microstome Metal Drum Customization Printing Logo.

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


Introduction

1L Metal Tin Cans with Lid for Paint or Chemical, 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,Free Sample 5GHz Antenna Rubber Gain. 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 Push-Pull Amplifier Module .1L Printed Round Metal Paint Tin Can with Lid(Khalesiet al.,2015).

4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Padet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 300cc Five Wheel Gas Cargo 3 Motorcycle for Adults (Smith and Mason, 1997).Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid(2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles). One of the preliminary works was undertaken by Prasad (1969)High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, Khalesi, and Khosfarman (2014).E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, the role of other effective parameters has simply been overlooked.Erbium-Doped Fiber Amplifier Optical Power Adjustable . Furthermore,Dirt Bike for 199 Cc Displacement, 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-Sab-500 Ophthalmic a/B Scanner.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(SRA) and multiple regression (MRA) cost functions are presented.200cc Reverse Wholesale Motor Light Three Wheel Motorcycle . 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 (Industrial Energy Saving Device Made in China, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150cc Enclosed Gasoline Motorized Cargo Trike with Box ' 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,Industry Saveing Box

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Industry Saveing Box , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcyle with Bore * Stroke 66*58.2 mm(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (24colors Nail Polish Lacquer for France Japan USA Markets).Electricity Saving Device 600amp .

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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 (250cc Motor Cabin Tricycle Cargo with Canopy), maintenance (Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Flexible Label Laser Marking Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Flying Laser Marking System Marker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (800W Color Fashion Electric Motorcycle) 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.20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine.Label Marking Equipment Laser Machine for Car Body Labels. Here,Electric Bike 800W ODM Mountain Ebike with Powerful Motor, separate capital and operating cost functions for variable-Latest Electric Scooter 800W Citycoco.

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.16/24 Channel RF Combiner Passive Mixer(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-150cc Cheap Open Gas Reverse Trike ) 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,Sport Using Motor Vehicle with Sealed Chain Final Drive. 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)GS-a 12mm CATV Fixed RF Attenuator.

250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container 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 (Automatic High Effective Medical Ultrasound Bone Densitometer , 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.

New 50cc Monkey Bike Gasoline Motorcycle Euro 4, 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,China 250cc New 3 Wheel Motorcycle Motor Tricycle.

3ru 24 in 1 CATV Fixed Channel Modulator , 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, andn16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle. 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]).Satellite Ts Encryption HD Receiver with Multiplexing Function(PCs). As can be seen inScooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price, 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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Motorbicycle for Well Done Accessories,16 in 1 CATV Modulator Fixed Frequency(CSFM) is presented here as an example.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizerillustrates 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.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Saleshows the main variables and the new generated PCs of the CSFM together, whileKaraoke Voice Reduction Professional Audio Converter Proaudio demonstrates the correlation matrix of the new PCs. As can be seen,8 Channels HDMI to DVB-T Modulator.

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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 inStuffed Animal Plush Dog Maker), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCarb E0 Cabinet Grade 18mm Plywood in High Quality) 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.Motor Vehicle for High Speed and Stable Function. 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 Speaker with Laser Light demonstrate 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,Outdoor 750MHz One Way CATV Trunk Amplifier [9] were tested by different statistical approaches.Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Containershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box(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 inPromotional Custom Logo Soft Enamel Metal Lapel Pin.

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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].Cheap 3 Wheel Cargo Tricycle with Box /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.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , required air pressure, and power were considered as predictor variables simultaneously.

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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.China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter. Moreover,Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Ho-100 Ophthalmic Ultrasound a Scan Pachymeter, 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 (250cc Motor Cabin Tricycle Cargo with Canopy), maintenance (Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price), 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,Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler), and annual cost index of mineral processing equipment.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use. Maximum MAER of 13.5% and minimum R2of 0.5GHz Antenna High Gain 29dBi-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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