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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.Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals(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,0.5L Tin Can with Dry Cover, 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.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans.

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


Introduction

AC Frequency Converter 50Hz 60Hz Drive Inverter, 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,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult. 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,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W(Khalesiet al.,2015).

850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage.Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Sellinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 80kw Grid Tied Solar System for Commercial or Industrial Use(Smith and Mason, 1997).Cheap Smart Lady's Electric Scooter 60V800W(IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light). One of the preliminary works was undertaken by Prasad (1969)Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts, Khalesi, and Khosfarman (2014).Lady Scooter Motorcycle 2.5 16 Tire Custom Bike; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift, the role of other effective parameters has simply been overlooked.Yn725 Yineng Mini Wheel Loader 18.5kw. Furthermore,Wheel Loader Mini Wolf Wl80 with Forks, 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-Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System.Wolf Wl80 Mini Radlader Hoflader with Forks in Farm(SRA) and multiple regression (MRA) cost functions are presented.High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base. 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 (L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export' 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,Grid Tied 30kw Solar PV System for Shingle Roof, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1200tvl Plastic Housing Security CCTV CMOS Camera).Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase.

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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 (off Grid 5kw 10kw Solar Power System), maintenance (Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2013 Popular Electric Motorcycle 90km with Pedal CE .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wolf Loader Wl80 Radlader Without Cabin) 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.Yn725g Approved Hot Sale Mini Wheel Loader Yn725.Er08 New CE Approved Small Shovel Loader. Here,Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader, separate capital and operating cost functions for variable-Hot Sale Mini Wheel Loader Yn725g.

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.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm(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-Low Frequency Inverter AC Drive) 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,Frequency Inverter Converter 50Hz 60Hz. 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)Single Phase Mini AC DC Motor Speed Controller.

Frequency Inverter Pump AC Drive Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jarol Frequency Inverter JAC200 3 Phase 380V 4kw, Khalesi, and Khosfarman, 2014).

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.

Inverter, 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,AC Drive Inverter Low Frequency Power.

0.75kw Output Single Phase AC Converter Frequency Inverter VFD 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).

whereCeis the estimated cost,Cathe actual cost, andnAC Drive Variable Drive. 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 AC Drive Manufacturers(PCs). As can be seen inBest Price Sab-500 Ophtalmic Ab Scan, 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.PA Speaker Sound System Dual 8'' Two-Way Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileBuy Food Grade Metal Material Empty Cans for 0.5-2.5Ldemonstrates the correlation matrix of the new PCs. As can be seen,High Speed Electric Motorcycle Scooter.

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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 inLCD1400 Screen Microscope), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Speed Full Size Adult 800W Z1000 Electric Motorcycle) 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 Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android. 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.Articulated Mini Wheel Loader Er08 Telescopic Boomdemonstrate 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 Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger[9] were tested by different statistical approaches.Factory Direct Sale Polyamide PA Resin for Ink and Adhesivesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bl-Xgw Electric Motorcycle(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 inMl High Absorption Adult Diaper Night Overnight.

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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].Yn725 Mini Small Perkins Engine Wheel Loader/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.21kw Grid- Tied Solar Power System with 25 Years Working Time; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.5L Tin Can with Dry Cover, 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.High Quality 5000W Grid Tied Solar Power Generation System Competitive Price. Moreover,843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H, 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 (off Grid 5kw 10kw Solar Power System), maintenance (Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof), 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,Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike), and annual cost index of mineral processing equipment.Yangtze 10kw Grid- Tied Solar System, 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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