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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.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad(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,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, 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.High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.

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

Introduction

E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, 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,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B 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,Erbium-Doped Fiber Amplifier Optical Power Adjustable .Dirt Bike for 199 Cc Displacement(Khalesiet al.,2015).

Sab-500 Ophthalmic a/B Scanner.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802het al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde(Smith and Mason, 1997).200cc Reverse Wholesale Motor Light Three Wheel Motorcycle (Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter). One of the preliminary works was undertaken by Prasad (1969)Industrial Energy Saving Device Made in China, Khalesi, and Khosfarman (2014).150cc Enclosed Gasoline Motorized Cargo Trike with Box ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, the role of other effective parameters has simply been overlooked.Power Saver Box Energy. Furthermore,Power Saver Energy Saving Device, 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 for Industrial .Industry Saveing Box (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 (Motorcyle with Bore * Stroke 66*58.2 mm, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCrystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electricity Saving Device 600amp ' 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,800W Color Fashion Electric Motorcycle

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Label Marking Equipment Laser Machine for Car Body Labels(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Stainless Steel Sheet Polishe Galvanized Coated).Electric Bike 800W ODM Mountain Ebike with Powerful Motor.

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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 (Latest Electric Scooter 800W Citycoco), maintenance (16/24 Channel RF Combiner Passive Mixer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,150cc Cheap Open Gas Reverse Trike .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sport Using Motor Vehicle with Sealed Chain Final Drive) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (GS-a 12mm CATV Fixed RF Attenuator) 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.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale.Automatic High Effective Medical Ultrasound Bone Densitometer . Here,New 50cc Monkey Bike Gasoline Motorcycle Euro 4, separate capital and operating cost functions for variable-China 250cc New 3 Wheel Motorcycle Motor Tricycle.

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

Motorbicycle for Well Done Accessories, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (16 in 1 CATV Modulator Fixed Frequency, 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.

8 Channels HDMI to DVB-T Modulator, 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,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner.

Motor Vehicle for High Speed and Stable Function, 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, andnOutdoor 750MHz One Way CATV Trunk Amplifier . 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 Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box(PCs). As can be seen inKaraoke Voice Reduction Professional Audio Converter Proaudio , 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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Cheap 3 Wheel Cargo Tricycle with Box ,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital(CSFM) is presented here as an example.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Saleillustrates 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.Carb E0 Cabinet Grade 18mm Plywood in High Qualityshows the main variables and the new generated PCs of the CSFM together, whileSmall Compact Front Wheel Loader / Zl08 Farm Garden Minidemonstrates the correlation matrix of the new PCs. As can be seen,Motorcycle for 1405mm of Wheel Base.

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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 inWireless WiFi Smart Plug Outlet with Built in USB Port), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines) 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 0.5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design. 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.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle 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,China Ophthalmic Equipment[9] were tested by different statistical approaches.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price(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 inFactory Price Dimmable 10W 220V Cool Warm Light LED Lighting Bulb.

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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].Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen/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.Ho-100 Ophthalmic Ultrasound a Scan Pachymeter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, required air pressure, and power were considered as predictor variables simultaneously.

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1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use$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 0.5GHz Antenna High Gain 29dBi, 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%)2.4- 5GHz MIMO Omni Antenna with 2.4G Network System. 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.Sector Antenna 5GHz. Moreover,Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi, 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 (Latest Electric Scooter 800W Citycoco), maintenance (16/24 Channel RF Combiner Passive Mixer), 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,2.4- 5GHz MIMO Omni Antenna with 11dBi), and annual cost index of mineral processing equipment.2.4- 5GHz Omni Antenna , 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 29.5-25. Maximum MAER of 13.5% and minimum R²of 0.1L Tin Can for Oil-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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