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Live/Installed Sound System PRO Speaker Box Cost 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.15kw Grid Tied Solar Power System for Home Use(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,Grid Tied 100kw 200kw 300kw Solar System, 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.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels.

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

Introduction

Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale, 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,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W. 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,Adv. 1 Alloy Wheel .150cc 4-Stroke(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (5GHz 18dBi Dual Polarization Panel WLAN Antenna, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDecorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner' 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,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alloy Wheels (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China 6W MR16 COB LED Spotlight).Silver Truck Wheel Rims Steel 17.5 Inch.

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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 (15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer), maintenance (High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Finished Surface HD Truck Wheel 17.5inch Rims Steel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (250CC Go Kart ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (18mm Carb Birch Okoumen Plywood) 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.Retro Electric Motorcycle Scooter .Carb Approved Birch Plywood. Here,Low Power Elevator Inverter 12kw with Controller, separate capital and operating cost functions for variable-High Quality 18mm Carb Birch Okoumen Plywood.

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.1.5kw 220V Frequency Converter Single Phase 380 3(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-Carb Approved Birch Plywood) 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,Carb E0 Cabinet Grade 18mm Plywood in High Quality. 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)1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor.

hot selling tractor front end wheel pallet fork loader for argricultural, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate, 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.

Carb Bleach White Poplar Plywood LVL 12mm 18mm, 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,Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light.

Wolf Loader Wl80 Zl08 Radlader Mini Wheel, 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, andn2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. 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]).High Quality Carb Certified Birch Faced Furniture Plywood(PCs). As can be seen inEverun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, 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.Inverter Cabinet VFD Frequency AC Drives 15kw Motorshows the main variables and the new generated PCs of the CSFM together, whileProfessional Loudspeaker Line Array PRO Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Digital ATSC Receiver Internet TV Set Top 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 inFactory Outlet Christmas Party Lights Indoor Decoration Patterns Laser Projector Light DJ Strobe), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGy6 150cc EEC Scooter) 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.High Quality Aluminum Alloy Wheels Rims. 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.PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Linedemonstrate 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,Truck Rim Steel Polished 17.5 Inch Wheel[9] were tested by different statistical approaches.2021 New Model 125cc 150cc Ce Approval off Road ATVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sunpal 150kw Solar Grid Tied System Low Price(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 inIndustrial Waste Wood Pallet Shredder Crusher Used Crushing Machine Price.

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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].16 17 18 Inch Vossen CV5 Alloy Wheel/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.VFD Air Compressor Asynchronous Variable Frequency Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Grid Tied 100kw 200kw 300kw Solar System, required air pressure, and power were considered as predictor variables simultaneously.

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Home Use Cheap Solar Panel System 10kw Grid Tied Kit$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 0.2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, 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%)5GHz Antenna High Gain 32dBi. 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.5GHz Dual Polarization Enclosure WLAN Antenna. Moreover,32dBi 5GHz WLAN Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle, 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 (15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer), maintenance (High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC), 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 Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty), and annual cost index of mineral processing equipment.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights, 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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