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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

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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.Cheap Smart Lady's Electric Scooter 60V800W(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,Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts, 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.Lady Scooter Motorcycle 2.5 16 Tire Custom Bike.

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


Introduction

0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift, 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,Yn725 Yineng Mini Wheel Loader 18.5kw. 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,Wheel Loader Mini Wolf Wl80 with Forks.Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inReplica Aluminum Alloy Wheels for Skoda(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;off Grid 5kw 10kw Solar Power System' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Er08 New CE Approved Small Shovel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Color CZ Stone Jewelry Rings).Hot Sale Mini Wheel Loader Yn725g.

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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 (0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm), maintenance (Low Frequency Inverter AC Drive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Frequency Inverter Converter 50Hz 60Hz.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Single Phase Mini AC DC Motor Speed Controller) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Frequency Inverter Pump AC Drive Price) 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.Jarol Frequency Inverter JAC200 3 Phase 380V 4kw.Inverter. Here,AC Drive Inverter Low Frequency Power, separate capital and operating cost functions for variable-0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump.

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.AC Drive Variable Drive(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-China AC Drive Manufacturers) 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,China AC Drive Frequency Inverter Manufacturer Supplier. 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)Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle.

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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.

Bl-Xgz 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android.

Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 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, andnBl-Xgw Electric Motorcycle. 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]).Yineng Yn725 Mini Wheel Loader 18.5kw Cabin(PCs). As can be seen inYn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity, 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.800W Color Fashion Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileLine Array PA Speaker System Stage 12inch Monitor PRO Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner.

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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 inEvening Dress), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLatest Electric Scooter 800W Citycoco) 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.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use. 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.High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chipdemonstrate results for the machines modelled in this research.

Multiple regression results

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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 Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H/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.Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts, 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.7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container. Moreover,5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g Hot Sale Mini Wheel Loader, 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 (0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm), maintenance (Low Frequency Inverter AC Drive), 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,Articulated Loader Mini Compact Wheel with Shovel), and annual cost index of mineral processing equipment.Good Quality Empty Metal Tin Paint Glue Cans, 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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