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

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

Introduction

High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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,Mountain Using Motorcycle with Strong Steel Tube Frame. 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,10W 20W 30W portable Fiber Laser Marking Machine.CATV 860MHz One Way Amplifier(Khalesiet al.,2015).

CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Propertieset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Panel System 20kw Grid Tied Power for Home(Smith and Mason, 1997).High Efficiency SIM Card Fiber Laser Marking Machine(IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light). One of the preliminary works was undertaken by Prasad (1969)2021 New Machine Grade CO2 Laser Marking with a Discount, Khalesi, and Khosfarman (2014).20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mopa Fiber Laser Marking Machine for Black Printing, the role of other effective parameters has simply been overlooked.20W Table Fiber Laser Marking Machine for Metal Stainless Steel. Furthermore,Portable Handheld Metal Plastic DOT Peen Marking Machine, 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-5150-5850MHz Sector Panel Antenna with Gain 13dBi.Dirt Bike for Sport Using with Large Power Engine(SRA) and multiple regression (MRA) cost functions are presented.Electricity Saver Device . 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 (3 Phase 50 - 60Hz Intelligent Power Saver, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Efficient Industrial Electric Motor Power Saver' 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,Sector Panel Antenna

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wedding Dress Bridal Wear - Belenscervino01).Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg.

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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 (Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25), maintenance (Three Wheel Motor Tricycle Rickshaw Rear Axle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gas Powered Adult Tricycle Motor Farm.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorcar for Both Civilc and Police Using with 320cc Displacement) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Police Using of Motorcycle for Cruiser with Displacement 320cc) 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.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device.7kwh Multi-Function Solar Energy Lithium Battery Ion for Home. Here,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain, separate capital and operating cost functions for variable-45cm Offset Satellite TV Antenna with 200 Hour UV Test.

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.5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi(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-45cm Offset Satellite Dish TV Antennas) 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,150ah Lithium Iron Phosphate . 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (C Band Satellite TV Antenna 150cm, 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.

Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, 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,Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1.

Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, 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, andnMc4t-Branch Connector for Parallel Solar Panel Pair Male and Female. 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]).4000W/5000W off Grid Tied Solar Power System(PCs). As can be seen inIN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, 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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L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres,High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(CSFM) is presented here as an example.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulatorillustrates 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.Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tunershows the main variables and the new generated PCs of the CSFM together, whileGy6 -125/ 150ccformaulardemonstrates the correlation matrix of the new PCs. As can be seen,24V 40ah Lithium Iron Battery for Electric Bike.

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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 inFasteners for Permanent Joining of Two Metal Sheets), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSquare Engine Oil Tin Can with Screw Cap Manufacturer Lid) 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.Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home 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.Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nzdemonstrate 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,Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle 156sm420shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB 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 inA60 6W Glass Retro E27 House Used LED Filament 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].Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms/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.Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, required air pressure, and power were considered as predictor variables simultaneously.

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New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre$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.Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied, 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%)DC 1000V Mc4 Cable Connectors . 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.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. Moreover,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15kw Solar Inverter 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 (Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25), maintenance (Three Wheel Motor Tricycle Rickshaw Rear Axle), 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,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode), and annual cost index of mineral processing equipment.China Famous Brand Hr912 Shovel Loader for Agriculture Working, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System. Maximum MAER of 13.5% and minimum R²of 0.25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader-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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