GENERAL PAPERS

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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.8 Channels HDMI to DVB-T Modulator(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,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, 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.Motor Vehicle for High Speed and Stable Function.

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

Introduction

Outdoor 750MHz One Way CATV Trunk Amplifier , 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,China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box. 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,New Racing Motorcycle.Cheap 3 Wheel Cargo Tricycle with Box (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHome Theater PA PRO Audio Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5GHz Antenna High Gain 29dBi' 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,2.4- 5GHz MIMO Omni Antenna with 11dBi

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2.4- 5GHz Omni Antenna , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Tungsten Carbide Flat Wire Drawing Die).1L Tin Can for Oil.

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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 (Trade Peak Lowest Price for 150cc ATV), maintenance (L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New China Adult Tricycle Motor Cargo for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price) 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.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket.2021 New Model 125cc 150cc Ce Approval off Road ATV. Here,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25, separate capital and operating cost functions for variable-40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder.

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.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce(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-Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce) 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,OTR Heavy Loader Tyre L5 20.5-25 Size Best Price. 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)Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter.

1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device.

New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, 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).

whereC_eis the estimated cost,C_athe actual cost, andnTycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home. 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]).5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter(PCs). As can be seen in800kg China Small Front High Quality Wheel Loader for Sale in Europe, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.N21% White Granular Ammonium Sulphateshows the main variables and the new generated PCs of the CSFM together, whileHot Sale Lady Style 60V 800W 20ah Electric Scooter with USBdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inRubber Additive Vulcanizing Agent Masterbatch Is-80 CAS 9035-99-8), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDirt Bike for Sport Using with Large Power Engine) 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.Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System. 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.DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Qualitydemonstrate 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,Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter[9] were tested by different statistical approaches.Portable Ultrasonic Ophthalmology Ophthalmic a/B Scanshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 Yineng Mini Wheel Loader 25kw(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 inCar Wheel Aligner A9/Tire Changer/Garage Equipment/Automotive Equipment/Wheel Balancer/Auto Maintenance/Wheel Alignment Machine Price/Wheel.

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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].Yn725 Wheel Loader 25kw Mini/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.CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, required air pressure, and power were considered as predictor variables simultaneously.

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off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase$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 0.12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, 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%)Yn725 Yineng Mini Wheel Loader 25kw. 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.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe. Moreover,Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, 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 (Trade Peak Lowest Price for 150cc ATV), maintenance (L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20), 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,12V AC Warm White PC Mini Flat Resin Filled LED Pool Light), and annual cost index of mineral processing equipment.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip. Maximum MAER of 13.5% and minimum R²of 0.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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