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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.White Truck Wheel 17.5X6.00 Steel Rims(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,7.5kw MPPT with High Efficiency Solar Water Pump Controller, 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.Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood.

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


Introduction

AC Variable Frequency Drive Single Phase, 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,17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim. 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,Triple Phase Variable Frequency Inverter AC Drive.White Steel Wheel for Truck 17.5X6.00(Khalesiet al.,2015).

Carb Grade 18mm Commercial Plywood.Highlighted LED Electric Motorcycle with 60V 800W Power Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond(Smith and Mason, 1997).AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V(DOT Peen Marking Machine Vin Touch Screen for Sale). One of the preliminary works was undertaken by Prasad (1969)High Speed Full Size Adult 800W Z1000 Electric Motorcycle, Khalesi, and Khosfarman (2014).AC Drives Frequency Inverter for Dyeing Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1220*2440*18mm Birch Plywood with Carb P2 Standard Quality, the role of other effective parameters has simply been overlooked.Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China. Furthermore,China Wholesales Wheel Loader HR912 with Pallet 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-AC Frequency Speed Controller 7.5kw VFD Drives.Carb P2 Bleached White Poplar Plywood for Furniture(SRA) and multiple regression (MRA) cost functions are presented.Professional Mini Wheel Loader for Sale with Low Price. 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 (New Model Chinese Small Loader Front End Wheel for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTws Sport Headset Stereo Headphone Earphone with Charging Box Black(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mimo Antenna 13dBi CPE' 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,Newest Kids Pedal Electric Drift Crazy Kart Go

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),IN-A7 handheld color doppler linear probe hip bone ultrasound scanner(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Industrial Hand Held Portable Sewer Inspection Camera).New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale.

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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 (7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Whole Sale Hammerhead 150cc Go Kart with Parts.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner) 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.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe.WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound. Here,Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, separate capital and operating cost functions for variable-Aj-Bmd500 New Generation Ultrasound Bone Densitometer.

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.18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty(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-5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home) 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,Solar Power System 8kw Grid Tied Solution. 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)CE China manufacturers mini wheel loader for sale at cheap price.

Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes, 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.

6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy 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,Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer .

5GHz 10dBi Wideband Omni WLAN Antenna, 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, andnJy125t-36c 125cc Scooter with Cdi and Efi. 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]).5GHz 18dBi Dual Polarized Panel Antenna (PCs). As can be seen inAutomobile Paint Can 5L Square Tin with Metal Cap for Ink Oil, 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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5GHz 23dBi Enclosure WLAN Antenna,16" Inch Steel Wheel for Toyota Prado Land Cruiser(CSFM) is presented here as an example.Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decodingillustrates 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.1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power Systemshows the main variables and the new generated PCs of the CSFM together, while8-30inches Malaysian Straight Hair Bundles 100% Human Weavesdemonstrates the correlation matrix of the new PCs. As can be seen,off Road 200cc Motorcycle for Hot Sale.

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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 inOne-Stop Supply Chain Solutions to Yokohama), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCute Street Electric Scooter with LED Light 60V800W20ah) 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.China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter. 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.Solid State Inductive Heating Furnace for Tyre Cord Wiredemonstrate 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,China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery[9] were tested by different statistical approaches.0.8t Multifunctional Hydraulic Wheel Loader for Farmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Linux TV Box International Internet Smart IPTV Zgemma I55(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 inSmart Wireless IP Camera Bulb CCTV Panoramic Fisheye.

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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].20" Inch Replica Aluminum Alloy Wheels for Astonmartin/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.2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,7.5kw MPPT with High Efficiency Solar Water Pump Controller, required air pressure, and power were considered as predictor variables simultaneously.

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Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB$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.Medical Automatic Ultrasound Bone Densitometer in Low Price, 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%)Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China. 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.Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner. Moreover,IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Automatic High Effective Ultrasound Bone Densitometer Made in China, 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 (7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), 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,Diesel Central Drive Three Wheel Dumper for Sale), and annual cost index of mineral processing equipment.Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital. Maximum MAER of 13.5% and minimum R2of 0.Apr125 White Motorcycle-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing MachineUSP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6Corresponding author

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