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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.Electricity Power Saver for Industry (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,Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, 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.Malaysia Laser Marking Machines for Jewellery.

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

Introduction

Enclosed Covered Tricycle with Wagon, 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,Color Marking 20W Fiber Laser Machine Price for Metal. 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,Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle.Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Portable Handheld Metal Plastic DOT Peen Marking Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWaterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5150-5850MHz Sector Panel Antenna with Gain 13dBi' 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,EEC 125/300cc Euro 5V Max Scooter-Alex One

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electricity Power Reducer , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Design Popular Best Selling Business Case Hard Shell Suitcase High Quality Big Luggage).Electrical Saver Box .

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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 (Sector Panel Antenna ), maintenance (15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25) 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.Three Wheel Motor Tricycle Rickshaw Rear Axle.Gas Powered Adult Tricycle Motor Farm. Here,Motorcar for Both Civilc and Police Using with 320cc Displacement, separate capital and operating cost functions for variable-Police Using of Motorcycle for Cruiser with Displacement 320cc.

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.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device(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-7kwh Multi-Function Solar Energy Lithium Battery Ion for Home) 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,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain. 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)45cm Offset Satellite TV Antenna with 200 Hour UV Test.

5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (45cm Offset Satellite Dish TV Antennas, 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.

150ah Lithium Iron Phosphate , 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,2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things.

E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers, 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, andnC Band Satellite TV Antenna 150cm. 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]).Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China(PCs). As can be seen in2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle, 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.Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyestershows the main variables and the new generated PCs of the CSFM together, whileSoftel 3ru CATV 24 Way Fixed-Channel Analog Modulatordemonstrates the correlation matrix of the new PCs. As can be seen,4000W/5000W off Grid Tied Solar Power System.

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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 inHOWO D12 Engine Spare Parts Vg1246030015 Piston), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Coffee /Candy/Weed Plastic Container) 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.L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres. 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.Square Engine Oil Tin Can with Screw Cap Manufacturer Liddemonstrate 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,High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty[9] were tested by different statistical approaches.110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Marketshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.24V 40ah Lithium Iron Battery for Electric Bike(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 inGlass Curtain Wall 5 Estorey Steel Strucure Construction Office.

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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].Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System/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.Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, 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.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases. Moreover,New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied, 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 (Sector Panel Antenna ), maintenance (15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire), 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,DC 1000V Mc4 Cable Connectors ), and annual cost index of mineral processing equipment.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion. Maximum MAER of 13.5% and minimum R²of 0.15kw Solar Inverter Grid Tied-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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