GENERAL PAPERS

Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film SunmideCost modelling for flotation machines

S. Arfania; A.R.Cheap Commercial Plywood for Construction Decoration and Furniture UseBMW N63 S63 Camshaft Alignment Tool Set ; M.R. Khalesi

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.Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite(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,Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy, 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 0.20kw Grid Tied Solar System.

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

Introduction

Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller, 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,Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China. 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,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android.220VDC to 220VAC Variable Frequency Inverter(Khalesiet al.,2015).

Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pumpet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies). One of the preliminary works was undertaken by Prasad (1969)380V 400Hz 3p AC Drive Hot 15kw Frequency Converter, Khalesi, and Khosfarman (2014).Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw, the role of other effective parameters has simply been overlooked.VFD Frequency Converter Inverter for Constant Pressure Water Supply. Furthermore,AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters, 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-7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.large cabin and powerful engine Customized 0.8ton mini wheel loader(SRA) and multiple regression (MRA) cost functions are presented.Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale. 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 (Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AL908 0.8ton Wheel Loader Machinery for Sale' 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,E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),18mm Embossed Melamine Faced Commercial Plywood for Furniture Making(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qt4-36 Small Scale Concrete Block Making Machine/Concrete Moulding Machine).Filmfaced Plywood with High Quality and Cheap Price.

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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 (9mm E1 Glue Bintangor Plywood Board), maintenance (E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Drive) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle) 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.Sell Well 800W 60V Electric Motorcycle for Daily Riding.China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System. Here,15kw Grid Tied Solar System, separate capital and operating cost functions for variable-Rosen 8kw Grid Tied on Solar Panel System.

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.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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-12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial) 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,Grid Tied 11kw Solar Panel System Home Commercial Power Supply. 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)5kw Grid Tied Solar Power System for Home Use.

12kw Grid Tied Solar System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, 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.

200cc/300cc Adults Racing Go Kart for Sale Ce Certificate, 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,Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible.

0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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, andnJarol Strong Overload Capacity AC Drive Frequency Inverter . 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]).China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible(PCs). As can be seen inProfessional Stage Line Array System Dual 10'' 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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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.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adultshows the main variables and the new generated PCs of the CSFM together, whileAndroid Digital Signage Intelligent Hand Sanitizer Displaydemonstrates the correlation matrix of the new PCs. As can be seen,Best Selling 4X4 Farm ATV.

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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 inTruck Wheel Alignment with Turntable Wb025), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price) 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.Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery. 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.Diesel Engine Parts Fuel System Nozzle Dlla145pn574demonstrate 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,Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels[9] were tested by different statistical approaches.18" Remy Hair Lace Front Closure Natural Color Body Waveshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q(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 inOpen/Silent UK Engine 4012-46tag2a 1200kw/1500kVA 1320kw/1650kVA Power Electric Diesel Genset Generator.

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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].Electric Scooter/ Motorcycle/TM-Monya/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.Electric Scooter with Anti-Theft Motor Lock ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy, required air pressure, and power were considered as predictor variables simultaneously.

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RGB/White 18W PAR56 LED Swimming Pool Light$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.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 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%)PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche. 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.18W Recessed IP68 PAR56 LED swimming Pool Underwater Light. Moreover,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt, 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 (9mm E1 Glue Bintangor Plywood Board), maintenance (E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room), 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,WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty), and annual cost index of mineral processing equipment.24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,The Thinnest Wall Pool Underwater Swimming Light 18 Volts. Maximum MAER of 13.5% and minimum R²of 0.Rosen 7kw Grid Tied on Solar Panel System-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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