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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.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases(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,New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, 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.Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied.

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

Introduction

DC 1000V Mc4 Cable Connectors , 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,2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. 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,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion.15kw Solar Inverter Grid Tied(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOne and Half Rows Three Wheeler for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Manufacture 20W Fiber Laser Marking Machine for Engraving' 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,1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New 100% Natural Eucalyptus Essential Oil 10ml Massage Aromatherapy).Portable Fiber Laser Marking Machine for Vin Code/Number.

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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 (1L Empty Round Edilbe Cooking Oil Metal Tin), maintenance (2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Max Source Fiber Machine Laser Marking for Vin Number.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Custom Round Small Metal Empty Tin Cans with Lids) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty) 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.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo .1L Microstome Metal Drum Customization Printing Logo. Here,1L Metal Tin Cans with Lid for Paint or Chemical, separate capital and operating cost functions for variable-Free Sample 5GHz Antenna Rubber Gain.

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.Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module (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-1L Printed Round Metal Paint Tin Can with Lid) 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,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box. 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)38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad.

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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.

E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, 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,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner.

Erbium-Doped Fiber Amplifier Optical Power Adjustable , 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, andnDirt Bike for 199 Cc Displacement. 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]).Sab-500 Ophthalmic a/B Scanner(PCs). As can be seen inRetro Electric Motorcycle Scooter , 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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200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ,Industrial Energy Saving Device Made in China(CSFM) is presented here as an example.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipaillustrates 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.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power Systemshows the main variables and the new generated PCs of the CSFM together, whileProfessional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2demonstrates the correlation matrix of the new PCs. As can be seen,150cc Enclosed Gasoline Motorized Cargo Trike with Box .

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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 inIP65 LED neon tube with UL/CE/RoHS approved), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDare Dual 8" Neodymium Active Line Array Set PA System) 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.Power Saver Box Energy. 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.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adultdemonstrate 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,Power Saver Energy Saving Device[9] were tested by different statistical approaches.New Racing Motorcycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Saver for Industrial (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 inTop Quality Adenosine Triphosphate Disodium CAS 987-65-5.

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Cost model for variable-Industry Saveing Box

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].Industry Saveing Box /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.Motorcyle with Bore * Stroke 66*58.2 mm; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre, 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.800W Color Fashion Electric Motorcycle. Moreover,20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Label Marking Equipment Laser Machine for Car Body Labels, 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 (1L Empty Round Edilbe Cooking Oil Metal Tin), maintenance (2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K), 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,Electric Bike 800W ODM Mountain Ebike with Powerful Motor), and annual cost index of mineral processing equipment.Latest Electric Scooter 800W Citycoco, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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