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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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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.20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine(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,Label Marking Equipment Laser Machine for Car Body Labels, 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.Electric Bike 800W ODM Mountain Ebike with Powerful Motor.

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


Introduction

Latest Electric Scooter 800W Citycoco, 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,16/24 Channel RF Combiner Passive Mixer. 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,150cc Cheap Open Gas Reverse Trike .Sport Using Motor Vehicle with Sealed Chain Final Drive(Khalesiet al.,2015).

GS-a 12mm CATV Fixed RF Attenuator.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader(Smith and Mason, 1997).Automatic High Effective Medical Ultrasound Bone Densitometer (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin). One of the preliminary works was undertaken by Prasad (1969)New 50cc Monkey Bike Gasoline Motorcycle Euro 4, Khalesi, and Khosfarman (2014).China 250cc New 3 Wheel Motorcycle Motor Tricycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,3ru 24 in 1 CATV Fixed Channel Modulator , the role of other effective parameters has simply been overlooked.16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle. Furthermore,Satellite Ts Encryption HD Receiver with Multiplexing Function, 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-Motor Tricycle Three Wheel Cargo Trike for Sale.Motorbicycle for Well Done Accessories(SRA) and multiple regression (MRA) cost functions are presented.16 in 1 CATV Modulator Fixed Frequency. 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 (8 Channels HDMI to DVB-T Modulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inL-Pyroglutamic Acid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner' 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,Cheap 3 Wheel Cargo Tricycle with Box

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcycle for 1405mm of Wheel Base(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (60m Push Pipe Sewer Drain Inspection Camera with DVR).IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China.

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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 (5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design), maintenance (China Ophthalmic Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen) 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.Ho-100 Ophthalmic Ultrasound a Scan Pachymeter.Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler. Here,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, separate capital and operating cost functions for variable-1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use.

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.5GHz Antenna High Gain 29dBi(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-2.4- 5GHz MIMO Omni Antenna with 2.4G Network 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,Sector Antenna 5GHz. 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)Mini Wheel Loader Small Dumper Hoflader Wolf Zl08.

2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2.4- 5GHz MIMO Omni Antenna with 11dBi, 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.

2.4- 5GHz Omni Antenna , 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,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25.

1L Tin Can for Oil, 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, andnTrade Peak Lowest Price for 150cc ATV. 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]).L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20(PCs). As can be seen inAir Drive Multiple Capable Loose Tubes Pipes Beveling Machine, 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.Child Resistant Stand up Exit Bagshows the main variables and the new generated PCs of the CSFM together, while1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in Chinademonstrates the correlation matrix of the new PCs. As can be seen,Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket.

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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 inAir Bubble Mailer Envelopes Factory Wrap Bags in White Yellow Color), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHome Theater PA PRO Audio Speaker) 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.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25. 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.800kg China Small Front High Quality Wheel Loader for Sale in Europedemonstrate 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,40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder[9] were tested by different statistical approaches.China Heavy Load Inverter 220V 380V Three Phase Converter DC to ACshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce(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 inHongfa Alc Panels Automatic Lightweight AAC Block Production Line in Building Material Machinery.

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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].OTR Heavy Loader Tyre L5 20.5-25 Size Best Price/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.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Label Marking Equipment Laser Machine for Car Body Labels, 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.Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home. Moreover,5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw, 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 (5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design), maintenance (China Ophthalmic Equipment), 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,Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring), and annual cost index of mineral processing equipment.Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25. Maximum MAER of 13.5% and minimum R2of 0.25KW Ground Mini loader price-feasibility and even feasibility study level of projects.

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USBM. 1987.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use,Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Calcatta Polished Surfaces Engineered Quartz Stone. Slab with NSF SGS Certification]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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