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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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S. Arfania; A.R.China Plywood for The Furniture/ConstructionModern European Style Noble House Furniture Large Sectional Fabric Sofa; 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.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor 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,Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel 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.Grid Tied Wind Solar Power System.

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


Introduction

Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP, 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,Ash Solid Wood decoration Board. 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,980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity..800ml Square Metal Containers(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (High Duty Chinese mini loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inN21% Caprolactam Grade Ammonium Sulphate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mag City Scooter 80km Range Two Wheel Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Birthday Party Sublimation Porcelain 400ml 600ml Ceramic Coffee Cup with Color Hand From China).Electric Scooter/ Motorcycle/TM-BQ.

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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 (Commerical Okoume Plywood for Sale), maintenance (Go Kart ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Go Kart .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Everun 0.8ton Mini Wheel Loader with Euro III Engine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale) 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.Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor. Here,High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip, separate capital and operating cost functions for variable-50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive.

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.3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor(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-Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter) 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).

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whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System.

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whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

TUV Certificate Gried Tied on Grid 30kw Solar Power System, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme.

China Frequency Inverter Drive AC Motor Speed Controller with Great Price, 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).

whereCeis the estimated cost,Cathe actual cost, andnChina Heavy Load Inverter 220V 380V Three Phase Converter DC to AC. 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]).3000W Grid Tied Solar System for Home Use(PCs). As can be seen inClinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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.Discount High Strength 90/90-19 Motorcycle Tyre/Tireshows the main variables and the new generated PCs of the CSFM together, whileCustomized 1L Round Empty Metal Oil Paint Package Tin/Can Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inWhite Gold Plated Silver Jewelry with Cubic Zirconia Stones), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLanosterol 79 -63-0 ) 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.Electric Scooter 800W 60V20ah Lead Acid. 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.Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18wattdemonstrate 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,hot selling small avant articulated tractor wheel loader for garden landscaping[9] were tested by different statistical approaches.Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.UV White Birch Plywood 18mm Carb E0 Cabinet(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 inTextured Vegetable Soya Protein Chunk Food Extruder Machine.

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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].China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas/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.Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System, required air pressure, and power were considered as predictor variables simultaneously.

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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.1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids. Moreover,2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, 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 (Commerical Okoume Plywood for Sale), maintenance (Go Kart ), 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,Chinese Eougem Zl08 Wheel Loader with Torque Converter), and annual cost index of mineral processing equipment.Articulated Mini Wheel Loader Er08 Telescopic Boom, and over- extrapolation could result in misguiding estimates.

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No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Variable Speed Drive Phree Phase Frequency Converter 1000Hz.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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