GENERAL PAPERS

Manufacturer Supply Bdo Novel Intermediate 1Cost modelling for flotation machines

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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.2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim(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,Portable Induction Heater for Crystal Growth, 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.Dry diaphragm membrane sanitary pressure transducer.

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

Introduction

Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale, 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,High Frequency Induction Heater . 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,Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace.Softel 4u 12 Channel Agile CATV Analog RF Modulator(Khalesiet al.,2015).

Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool.Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Caret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Strong Corrosion Resistance High Overload Pressure Sensor(Smith and Mason, 1997).High Quality Melamine MDF with Competitive Price Ce Carb Grade(High-Performance Frequency Converter/AC Drive 380V 50/60Hz). One of the preliminary works was undertaken by Prasad (1969)Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF, Khalesi, and Khosfarman (2014).The Best Sale and Low Price Chinese Brake Lathe ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Melamine MDF E1 E0 Carb P2 Grade, the role of other effective parameters has simply been overlooked.Transparent Ceramics Hot Press Sintering Furnace. Furthermore,6mm Raw Plain MDF ISO9001/ Carb for Decoration, 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-ISO.Se0/Fsc/ Carb Naf 18mm MDF Board(SRA) and multiple regression (MRA) cost functions are presented.HPM410W Submerged Integrated Level Sensor Transmitter. 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 (Industrial Mining All Welded Anti Explosion Pressure Transmitter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHaiqin Brand 0.8ton Mini Loader (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;GAS Wind Pressure Transmitter with Data Display' 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,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw

►Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Second Generation Stainless Steel Double Layer Vacuum Cola Wine Bottle with Cover).Draught Fan Digital LED Micro Air Wind Pressure Sensor.

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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 (HPM128 High stability Explosion-proof Pressure Transmitte), maintenance (Compressor Low Cost Small Type Pressure Transducer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale Motorcycle with 150cc Gy6 Engine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (HPM766 Dry diaphragm membrane sanitary pressure transducer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc Gy6 Engine Gasoline 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.Gy6 Engine 150cc Scooter.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip. Here,Digital Display Superior 316L integrated Pressure Transducer, separate capital and operating cost functions for variable-High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp.

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.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light(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-Gy6 125cc Sproty Scooter /Motorcycle) 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,Top Grade Cross-Country Motorcycle Tire 120/90-18. 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)Gy6 Engine 150cc Gasoline Scooter for Adults.

Flat film Clamp Hygienic Pressure Sensor Transmitter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Steel Wheel Hub Buggy 150cc ATV, 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.

150cc 200cc Gas ATV Quad for Adults, 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,Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18.

Raw Petro High Temperature Sapphire Pressure Transmitter, 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, andnCheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale. 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]).EEC Euro 5 Gy6 -125cc Motorcycle Scooters(PCs). As can be seen inElectricity Saver Device , 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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150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV,Gy6 -50cc OEM Gas Scooter(CSFM) is presented here as an example.Diesel Engine with Four-Stroke Used for Cylinder Generator Setillustrates 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.1L Metal Tin Cans with Lid for Paint or Chemicalshows the main variables and the new generated PCs of the CSFM together, whileDl-Isoleucine Powder CAS Number 443- 79 -8demonstrates the correlation matrix of the new PCs. As can be seen,150cc off Road Utility ATV with Reverse .

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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 inEasy Maintain Hamburger Patty Forming Machine Burger Pie Making), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light) 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.Gy6 150cc Gasoline Scooter. 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.458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Usedemonstrate 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,Zongshen 150cc Cargo Tricycle with Top Cover[9] were tested by different statistical approaches.Snow Mobile Rubber Track Gas Adult Ski Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 150cc Gas Scooter(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 inBurger Patty Press Hamburger Forming Machine in Stainless Steel.

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Cost model for variable-150cc 5 Speeds Forwader ATV 4 Wheelers Farm

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].150cc Gy6 Engine Automatic ATV Sports Quad Bike/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.Hot Selling Electric Race Vietnam Motorcycle Tire ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Induction Heater for Crystal Growth, required air pressure, and power were considered as predictor variables simultaneously.

Gy6 150cc Gasoline Scooter. Moreover, the operating cost was detailed in different cost items.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme, indicated inCE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm, and major extrapolation should be avoided.

Gy6 -50cc 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.China 150cc Gy6 Gasoline Scooter, 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%)Euro 4 Certificate. 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 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. Moreover,High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., 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 (HPM128 High stability Explosion-proof Pressure Transmitte), maintenance (Compressor Low Cost Small Type Pressure Transducer), 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,High Performance Motorcycle Tire for Senegal ), and annual cost index of mineral processing equipment.Double Rear Tyre Tricycle with 300cc Water Cooling Engine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo . Maximum MAER of 13.5% and minimum R²of 0.Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad-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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