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.High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip(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,20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V, 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 0.3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter.

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

Introduction

Water Proof Vet 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,Three Phase Vector Frequence Converter with High Performance. 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,Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series.16"X6.0" 16'x7.0' 16X8.0 16X10 Trailer Steel Rim Wheel(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5L Vegetable Cooking Oil Custom Tinplate Square Can(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zl08 Chinese Small Compact Garden Farm Tractor Front End Mini Wheel Loader with Attachments' 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,Sp-1000ap Ophthalmic a Scan and Pachymeter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),300cc Road Legal Ault Street Gas Three Wheel Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (607014619251/674%-97% Industrial Grade and Food Calcium Chloride).China Supplier Ophthalmic Equipment Ultrasound Ab Scan.

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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 (Vimode Electric Scooter Adult Motorcycle for Adults 800W), maintenance (150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Heavy Duty Tricycle 250cc.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Motorcycle Fashion Design 800W with Removable Battery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (City Scooter 800W Long Range Electric) 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.800W Electric Scooter Motorcycle Bicycle with Folding Rack.Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India. Here,Sporty 500W/ 800W /1000W, separate capital and operating cost functions for variable-5GHz 10dBi Outdoor WiFi Omni Antenna .

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.Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner(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-Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China) 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,Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale. 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)Police Motorcycle 250cc.

125cc Scooter EEC Popular Motor Alex, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (250cc Three Wheel Cargo Motor Tricycle , 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.

Motorbicycle with Stable Wheels, 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,2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap.

Scooter with Stable Function and Nice Outside Looking, 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, andnMotorcyle for Both Oil and Water Cooling. 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]).150cc China Gas Motor Cargo Trike for Sale (PCs). As can be seen in350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , 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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Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 ,24 Modules Fixed Head End CATV Modulator(CSFM) is presented here as an example.Nitrogen 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.Melamine Glue WBP Commerical Plywoodshows the main variables and the new generated PCs of the CSFM together, whileGabon Okoume Veneer a B C D Grade From Factory to Indiademonstrates the correlation matrix of the new PCs. As can be seen,860MHz Two Way Amplifier .

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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 inProtective Face Mask Surgical Medical Mask), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from150cc 200cc 250cc ATV Quad Bike for Adults) 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 30dBi Mimo Dish Antennas. 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.ASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690demonstrate 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 Factory Supplier Ophthalmic Equipment Ab Scan[9] were tested by different statistical approaches.Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna(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 inElegant Fashion Bridal Dress Wedding Dress/Gown.

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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].5150-5850MHz Sector Panel Antenna 2*17dBi/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.12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V, required air pressure, and power were considered as predictor variables simultaneously.

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Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25$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.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650, 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%)80kw Grid Tied Solar System for Commercial or Industrial Use. 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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System. Moreover,Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Ophthalmic Equipment Biometer Scan a, 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 (Vimode Electric Scooter Adult Motorcycle for Adults 800W), maintenance (150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle), 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,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer), and annual cost index of mineral processing equipment.860MHz CATV One Way Amplifiers, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CATV Mini Line Extending 2-Way Amplifer. Maximum MAER of 13.5% and minimum R²of 0.20MHz Probe Ophthalmology Ultrasound MD-2300S-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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