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Manufacturer of Enigine Oil CanCost 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.15mm AAA Grade Film Faced Plywood with WBP Glue(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,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality, 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.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging.

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

Introduction

150CC Go Kart , 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,Full Size 150cc Go Kart . 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,Go Kart .Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLocal Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top' 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,Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Adv. 1 Alloy Wheel (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Custom Christmas Holiday LED Neon Sign).150cc 4-Stroke.

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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 (Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna), maintenance (Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Design 800W 1000W Electric Scooter Motorcycle for Riding) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5.8GHz 30dBi Single-Pol Die Cast Grid Antenna) 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.Mimo Antenna 5150MHz~5850MHz WiFi Panel.5GHz 20dBi Panel WiFi Antenna. Here,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China, separate capital and operating cost functions for variable-Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna.

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.5GHz 12dBi Dual Polarity MIMO Omni Antenna(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-Electric Motorcycle Fashion Design 800W with Removable Battery) 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,5GHz 18dBi Dual Polarization Panel WLAN Antenna. 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)Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner.

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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.

Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps, 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,1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas.

10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, 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, andnCentral Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim. 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]).Alloy Wheels (PCs). As can be seen inCustomized Modern Design Metal Oil Tin Can 1L Empty Storage Container, 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.Fast Delivery 1shows the main variables and the new generated PCs of the CSFM together, whilePA Speaker Parts&Accessories Back Plate Speakon Nl4 demonstrates the correlation matrix of the new PCs. As can be seen,Finished Surface HD Truck Wheel 17.5inch Rims Steel.

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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 inNew breathable disposable baby diaper with super absorption), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules) 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 0.18mm Carb Birch Okoumen Plywood. 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.Gain 30dB 1 Output CATV House User Amplifier with AGCdemonstrate 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,Retro Electric Motorcycle Scooter [9] were tested by different statistical approaches.2021 New Compact 10 " Active Line Array Speaker Sound Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Carb Approved Birch Plywood(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 inWaterproof Flex LED Neon Light Strip for Decoration Lighting.

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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].High Quality 18mm Carb Birch Okoumen Plywood/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.1.5kw 220V Frequency Converter Single Phase 380 3; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality, required air pressure, and power were considered as predictor variables simultaneously.

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1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor$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.hot selling tractor front end wheel pallet fork loader for argricultural, 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%)Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce 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.Carb Bleach White Poplar Plywood LVL 12mm 18mm. Moreover,Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wolf Loader Wl80 Zl08 Radlader Mini Wheel, 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 (Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna), maintenance (Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market), 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,2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty), and annual cost index of mineral processing equipment.High Quality Carb Certified Birch Faced Furniture Plywood, 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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