GENERAL PAPERS

Super Cooling Smart Electric Scooter 500W 800W MotorcycleCost modelling for flotation machines

S. Arfania; A.R.Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet ForksGy6 125cc Sproty Scooter /Motorcycle; 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.AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply(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,Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale, 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.Mini Wheel Loader Hot Sale with Pallet Fork Zl908.

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

Introduction

220V 3HP Frequency Converter, 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,AC Frequency Converter2HP 1phase. 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,China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save.Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV' 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,Inverter AC Drive

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Small Compact Front Wheel Loader / Zl08 Farm Garden Mini(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotion Gift Plush Stuffed Animal Soft Toy Military Dog for Kids).DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy.

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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 (Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine), maintenance (Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,800kg Farm Mini Loader Chargeur Minilader Cargador.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine) 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.Radlader Zl08 Wheel Loader for Sale Mini Articulated.Customized Bintangor Plywood Face Veneer of Commercial. Here,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android, separate capital and operating cost functions for variable-0.18mm Engineered Wood Face Veneer.

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.4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box(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-Dyed Skateboard Veneer) 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,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box. 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)American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood.

Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood, 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.

Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India, 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,0.8ton Contruction Machine Mini Small Wheel Loader with Bucket.

Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, 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, andnTop Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood. 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]).Natural Wood Sapele Veneer Plywood for Furniture Grade(PCs). As can be seen inFactory Price Wholesale Vespa Electric Scooter Motorcycle Adult, 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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Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood,Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm(CSFM) is presented here as an example.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Deliveryillustrates 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.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packagingshows the main variables and the new generated PCs of the CSFM together, while5.8GHz 30dBi Single-Pol Die Cast Grid Antennademonstrates the correlation matrix of the new PCs. As can be seen,10'x6' Rotary Cut Okoume Veneer for Plywood.

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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 in50W single-phase output switching power supply with CE), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box) 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 0.800kg China Articulated Mini Small Compact Front End Wheel Loaders. 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.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometerdemonstrate 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,Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality[9] were tested by different statistical approaches.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.8t Snow Plow Loader Zl08 Mini Wheel(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 in2021 Novelty Hot Sale Cheap LED Flashing Nylon Dog Collar.

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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].Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower/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.Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell$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.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 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%)High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor. 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.Sapele Veneer Plywood Sheet for Wood Furniture and Decoration. Moreover,2.8X1.9 Large Size Rotary Cut Okoume Face Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive, 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 (Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine), maintenance (Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase), 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,Veneer Engineer Poplar Cross Grain 0.50mm), and annual cost index of mineral processing equipment.380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy. Maximum MAER of 13.5% and minimum R²of 0.Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter-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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