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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.Portable Induction Heater for Crystal Growth(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,Dry diaphragm membrane sanitary pressure transducer, 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.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale.

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

Introduction

High Frequency Induction Heater , 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,Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace. 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,Softel 4u 12 Channel Agile CATV Analog RF Modulator.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (GAS Wind Pressure Transmitter with Data Display, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA12 Transparent Polyamide with Anti-UV Granules(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF' 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,Glue E1 Carb Plain Mositure-Proof MDF

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Draught Fan Digital LED Micro Air Wind Pressure Sensor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Colorful PP Webbing /Belt Wholesale From Manufacturer).HPM128 High stability Explosion-proof Pressure Transmitte.

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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 (Compressor Low Cost Small Type Pressure Transducer), maintenance (Hot Sale Motorcycle with 150cc Gy6 Engine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,HPM766 Dry diaphragm membrane sanitary pressure transducer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc Gy6 Engine Gasoline Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gy6 Engine 150cc Scooter) 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.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip.Digital Display Superior 316L integrated Pressure Transducer. Here,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp, separate capital and operating cost functions for variable-RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light.

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.Gy6 125cc Sproty Scooter /Motorcycle(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-Top Grade Cross-Country Motorcycle Tire 120/90-18) 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,Gy6 Engine 150cc Gasoline Scooter for Adults. 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)Flat film Clamp Hygienic Pressure Sensor Transmitter.

Steel Wheel Hub Buggy 150cc ATV, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (150cc 200cc Gas ATV Quad for Adults, 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.

Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18, 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,Raw Petro High Temperature Sapphire Pressure Transmitter.

Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, 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, andnEEC Euro 5 Gy6 -125cc Motorcycle Scooters. 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]).Gy6 Engine Gas Scooter(PCs). As can be seen inProfessional Stage Line Array System Dual 10 Inch DSP Active Speaker , 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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Gy6 -50cc OEM Gas Scooter,150cc off Road Utility ATV with Reverse (CSFM) is presented here as an example.Food Packaging Bagillustrates 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.Chinese Eougem Zl08 Wheel Loader with Torque Convertershows the main variables and the new generated PCs of the CSFM together, whileHot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids.

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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 Nonwoven Green Medical ISO13585 Bfe99 Surgical Doctor Super Skin Friendly Face Mask with Elastic), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPromotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar) 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.Zongshen 150cc Cargo Tricycle with Top Cover. 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.American Standard Oval Freestanding Thick Rim Bath Tub Made in Chinademonstrate 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,Gy6 150cc Gas Scooter[9] were tested by different statistical approaches.Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performanceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.150cc 5 Speeds Forwader ATV 4 Wheelers Farm (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 inImpact Crusher Machine Machine.

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Cost model for variable-150cc Gy6 Engine Automatic ATV Sports Quad Bike

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].Hot Selling Electric Race Vietnam Motorcycle Tire /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.Gy6 150cc Gasoline Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dry diaphragm membrane sanitary pressure transducer, required air pressure, and power were considered as predictor variables simultaneously.

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China 150cc Gy6 Gasoline Scooter$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.Euro 4 Certificate, 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%)2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. 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.High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. Moreover,150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Performance Motorcycle Tire for Senegal , 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 (Compressor Low Cost Small Type Pressure Transducer), maintenance (Hot Sale Motorcycle with 150cc Gy6 Engine), 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,Double Rear Tyre Tricycle with 300cc Water Cooling Engine), and annual cost index of mineral processing equipment.300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo , 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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