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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.2.5A 0.4kw IP20 Jarol Variable Frequency Drive(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,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip, 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.High Quality Underwater Swimming Pool Light Decoration LED Lamp.

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


Introduction

17 Inch Machined Aftermarket Alloy Wheel , 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,2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty. 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,New Electric Beatiful on Road 800W Scooter E-Motorcycle.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna(Khalesiet al.,2015).

Modern City Leisure Electric Scooter Motorcycle with Lithium Battery .White Truck Wheel 17.5X6.00 Steel Rimset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wolf Mini Wheel Loader Wl950 Farm(Smith and Mason, 1997).7.5kw MPPT with High Efficiency Solar Water Pump Controller(DOT Certified off Road Chinese Motorcycle Tire 3.00- 17). One of the preliminary works was undertaken by Prasad (1969)Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood, Khalesi, and Khosfarman (2014).AC Variable Frequency Drive Single Phase; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim, the role of other effective parameters has simply been overlooked.Triple Phase Variable Frequency Inverter AC Drive. Furthermore,White Steel Wheel for Truck 17.5X6.00, 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-Carb Grade 18mm Commercial Plywood.Highlighted LED Electric Motorcycle with 60V 800W Power System(SRA) and multiple regression (MRA) cost functions are presented.AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V. 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 (High Speed Full Size Adult 800W Z1000 Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustom Liquid Stand up Pouch Spout for Food Packaging(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Drives Frequency Inverter for Dyeing Machine' 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,Carb P2 Bleached White Poplar Plywood for Furniture

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Mini Wheel Loader for Sale with Low Price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Model Chinese Small Loader Front End Wheel for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2014 New Designer Elegant Mermaid Sweetheart Button Back Sheer Straps Lace Bodice Ruffle Skirt Long Train Wedding Dress).Mimo Antenna 13dBi CPE.

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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 (1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture), maintenance (5GHz 25dBi Dual Pol Enclosure Antenna) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bleached Poplar/Birch Carb Plywood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Newest Kids Pedal Electric Drift Crazy Kart Go) 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.Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader.IN-A7 handheld color doppler linear probe hip bone ultrasound scanner. Here,New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale, separate capital and operating cost functions for variable-7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment.

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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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-Whole Sale Hammerhead 150cc Go Kart with Parts) 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,Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader. 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)10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner.

Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, 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.

Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, 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,Aj-Bmd500 New Generation Ultrasound Bone Densitometer.

18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty, 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, andn5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home. 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]).Solar Power System 8kw Grid Tied Solution(PCs). As can be seen inSolar Pump Inverter Price Quality AC Drive Frequency Converter, 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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Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine,China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes(CSFM) is presented here as an example.Tws Sport Headset Stereo Headphone Earphone with Charging Box Blackillustrates 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.Alone Standing Advertising Digital Signage Touchscreen Interactive Kioskshows the main variables and the new generated PCs of the CSFM together, whileAutomobile Paint Can 5L Square Tin with Metal Cap for Ink Oildemonstrates the correlation matrix of the new PCs. As can be seen,6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System.

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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 inLocal Anesthetic Powder Mepivacaine CAS No.: 22801-44-1 for Pain Relief), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System) 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 0.5GHz 10dBi Wideband Omni WLAN Antenna. 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.Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucketdemonstrate 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,Jy125t-36c 125cc Scooter with Cdi and Efi[9] were tested by different statistical approaches.Flexible Label Laser Marking Machine for Airbag Warning Labelsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 18dBi Dual Polarized Panel Antenna (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 inLatest Design Men's Fine Jewelry 925 Sterling Silver Hip Hop Iced out Rapper CZ Head Pendant Charms.

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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].5GHz 23dBi Enclosure WLAN Antenna/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.16" Inch Steel Wheel for Toyota Prado Land Cruiser; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip, required air pressure, and power were considered as predictor variables simultaneously.

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China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter$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.China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery, 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%)Linux TV Box International Internet Smart IPTV Zgemma I55. 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.Replica Aluminum Alloy Wheels for BMW. Moreover,20" Inch Replica Aluminum Alloy Wheels for Astonmartin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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 (1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture), maintenance (5GHz 25dBi Dual Pol Enclosure Antenna), 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,Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg), and annual cost index of mineral processing equipment.Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB. Maximum MAER of 13.5% and minimum R2of 0.Medical Automatic Ultrasound Bone Densitometer in Low Price-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Factory Sale Big Pickup Tricycle with 300cc Water Cooled EngineHot Sale Vacuum Bag Nylon Material for Agricultural ProductsCorresponding author

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