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.Flying Online Fiber Laser Marking Machine with Conveyor Belt(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,3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty.

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

Introduction

Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, 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,Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi. 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,381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer.IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe' 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,Bi-Directional Transmission Distribution Amplifier SA822

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Air Shipping From China to Belgium Door Services).Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike.

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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 (2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad), maintenance (Closed Canvas Box 2 Ton Cargo Tricycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sanyou 125cc Efi System with Delivery Box Gas Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale) 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 Oil Cooling Dirt Bike with EPA.Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter. Here,250cc Gasoline off Road Motorbike, separate capital and operating cost functions for variable-0.6m 5GHz Parabolic Antenna with Gain 28dBi.

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.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(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 200cc 250cc ATV Quad Bike for Adults) 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,4 Stroke Buggy 150cc ATV. 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)High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS.

The Newest 110cc 125cc 150cc Toyota Mini Buggy , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS, 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.

High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, 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,0.4m 5GHz Parabolic Antenna with Gain 23dBi.

Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, 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, andn5 Wheels Gasoline Cargo Tricycle with Front Cabin. 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]).IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light(PCs). As can be seen inIndoor DJ Stage Two Way Active Line Array Cabinet Box, 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.50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Driveshows the main variables and the new generated PCs of the CSFM together, whileFood Additives L-Arginine with Low Pricedemonstrates the correlation matrix of the new PCs. As can be seen,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty.

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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 inDisposable Lady Anion Sanitary Napkin for Safe Overnight), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromZl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader) 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.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25. 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.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyaceticdemonstrate 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,150cc Quad 4WD ATV for Adults[9] were tested by different statistical approaches.5150-5850MHz Sector Panel Antenna with Gain 13dBishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty(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 inStainless steel sanitary quality sight glass with LED light.

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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].2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty/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.5kw Grid Tied Solar Inverter Three Phase for Home Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, required air pressure, and power were considered as predictor variables simultaneously.

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Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P$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 0.2 Ton Loader 3 Wheel Cargo Tricycle, 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%)Grid Tied Inverter 3kw. 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.5kw Solar PV Kit Power Gird Tied Inverter. Moreover,Factory Mining Tyre, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, 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 (2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad), maintenance (Closed Canvas Box 2 Ton Cargo 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,150cc Front Cabin Cargo Tricycle), and annual cost index of mineral processing equipment.OTR G2 Grader Tubeless Tyre 17.5-25, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,1L Metal Screw Top Round Machine Oil Tank. Maximum MAER of 13.5% and minimum R²of 0.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container-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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