GENERAL PAPERS

Glycine Methyl Ester Hydrochloride Cost modelling for flotation machines

S. Arfania; A.R.Metal Engine Oil Can Recycling Lubricant Tin Packaging ContainerNitrogen 21% Granular Fertilizer Ammonium Sulphate; 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.2L Galvanized Tin Cans for Cooking Oil with Plastic Lids(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,Electric Motorcycles , 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.Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry.

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

Introduction

Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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,800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle. 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,Zl08 Chargeuse Wheel Loader.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(Khalesiet al.,2015).

500W EEC Electric scooter.Electric Motorcycle et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator(Smith and Mason, 1997).Solar Electric Motorcycle(White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk). One of the preliminary works was undertaken by Prasad (1969)Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K, Khalesi, and Khosfarman (2014).OEM 1500W EEC Electric Scooter ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, the role of other effective parameters has simply been overlooked.0.25mm Natural Wood Face Veneer. Furthermore,2L Empty Tin Container for Engine Oil Lubricant, 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-High-Performance Three Phase Frequency Converter 380V 50/60Hz.Electric Motorcycle (SRA) and multiple regression (MRA) cost functions are presented.EEC Electric Scooter . 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 (800w /1100w EEC Electric Scooter , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNitrogen Fertilizer Caprolactam Grade Ammonium Sulphate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Produce Natural Face Veneer Size 1220X1830X0.25mm' 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,High-Performance Frequency Converter/AC Drive 380V 50/60Hz

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Three Phase 380V Small Frequency Converter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale High Performance Vector Frequency Converter 380V 45/55kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plastic Recycle /Crushing Machine Pipe Profile Rubber Machinery).Single/Three Phase 220V 380V Vector Control Frequency Converter.

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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 (Factory-Enginneered Veneer Ash in 0.30mm), maintenance (Small Frequency Inverter 380V 50/60Hz) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Single Phase Variable Frequency Inverter 1.5kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1.2mm White Poplar Veneer From Factory for Exporting) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw) 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.Eucalyptus Core or Birch for Veneer with Grade AA.Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price. Here,Popular 800W Power Electric Scooter, separate capital and operating cost functions for variable-1250X2500mm Rotary Cut Okoume Veneer Cheap Prices.

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.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(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-2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System) 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,Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08. 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)Wolf 0.8t 800kg Mini Loader with Euro 3 Engine.

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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.

2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle, 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,Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle.

Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, 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, andn1L Beer Can. 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 Electric Scooter Factory(PCs). As can be seen inBest Price Solar Energy Systems Home Panel System 15kw 20kw on Grid, 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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1L Panit Can,1L and 5L Can for Antifreezing Liquid(CSFM) is presented here as an example.42 Inch Alone Standing Interactive LCD Touch Screen Information Kioskillustrates 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.Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel Systemshows the main variables and the new generated PCs of the CSFM together, whileAlloy Wheels demonstrates the correlation matrix of the new PCs. As can be seen,2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle.

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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 inDenim Fabric Dye Sulphur Black Br/ 2br 200% 220% 240%), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromManufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes) 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.Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal. 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.Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Paneldemonstrate 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,Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados[9] were tested by different statistical approaches.Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blueshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock(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 inNew Types Alloy Forged G80 European Swivel Self-Locking Hook.

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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].Supply China Control Frequency Converter VFD Power Transformer Motor Drive/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.MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Motorcycles , required air pressure, and power were considered as predictor variables simultaneously.

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2876 10kw Home Used Solar Power System on Grid Roof$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 0.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof, 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%)AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture. 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.Radiate Pine Face Veneer. Moreover,Grade AA Veneer Furniture Building Material Plywood to Dubai, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid, 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 (Factory-Enginneered Veneer Ash in 0.30mm), maintenance (Small Frequency Inverter 380V 50/60Hz), 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,Manufacturer of Enigine Oil Can), and annual cost index of mineral processing equipment.Small Wheel Loader Wl80 800kg Loaders for Farm Work, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,1L Tin Can for Camellia Oil . Maximum MAER of 13.5% and minimum R²of 0.CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility-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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