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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

PRO Audio PA System Digital MixerCost modelling for flotation machines

S. Arfania; A.R.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STBHigh Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers; M.R. Khalesi

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.Medical Automatic Ultrasound Bone Densitometer in Low Price(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,Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China, 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.Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner.

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


Introduction

IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, 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,Automatic High Effective Ultrasound Bone Densitometer Made in China. 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,Diesel Central Drive Three Wheel Dumper for Sale.Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner(Khalesiet al.,2015).

Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.Apr125 White Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for LG 46" 49" 55" DVI LED video panel for monitoring(Smith and Mason, 1997).Apr125 Red Motorcycle(DSP Active Line Array Speaker). One of the preliminary works was undertaken by Prasad (1969)Apr125-2 White Motorcycle, Khalesi, and Khosfarman (2014).Underwater Swimming Pool Light Decoration LED Lamp; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner, the role of other effective parameters has simply been overlooked.Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake. Furthermore,350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , 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-Popular Medical Device Automatic Bone Densitometer.Diesel Cargo Three Wheel Tricycle for Sale From China(SRA) and multiple regression (MRA) cost functions are presented.Diesel Dump Central Steering Drive Three Wheeler From China for Sale. 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 (Chinese Diesel Three Wheel Tricycle with Sunshade, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCovered Tricycle Carriage Closed Cargo Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;One and Half Rows Three Wheeler for Sale' 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,dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cast Aluminum Light Bar LED Hardscape Lighting Low Voltage Stair Lights).New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power.

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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 (5GHz 30dBi Grid Parabolic Antenna ), maintenance (5GHz Dish Parabolic Antenna 29dBi) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2.4/ 5GHz Dual Band H-Pol Sector Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Dirt Bike Zm-Es18 with 500W- 800W Motor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz 20dBi Enclosure WLAN Antenna) 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.5GHz 45deg Dual Pol Sector Antenna.5GHz 23dBi Enclosure WiFi Antenna. Here,5GHz Dual Pol Sector Antenna with Enclosure , separate capital and operating cost functions for variable-5GHz 34dBi Dish WLAN Antenna.

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 18dBi Dual Polarization Sector WiFi Antenna(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-18W RGB Resin Filled LED Surface Mounted Underwater Pool Light) 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,Poplar Film Faced Plywood Board with Carb Certificate. 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)18W 12V IP68 Waterproof LED Swimming Pool Lamps.

Hot Sale on-Grid 20kw Grid Tied Solar Power Home System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (E1 Glue Malamine Mositure-Proof MDF with Carb Certification, 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.

High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, 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,Quality 18mm Carb Birch Okoumen Plywood.

Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, 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, andn30kw Grid Tied Solar Power System Home Popular in Philippines. 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]).New Condition Large Capacity Mini Truck Dumper(PCs). As can be seen inChinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, 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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50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip(CSFM) is presented here as an example.Hot Sale Vacuum Bag Nylon Material for Agricultural Productsillustrates 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.Professional Audio Speaker Dual 10 Inch Neodymium Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileGtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxerdemonstrates the correlation matrix of the new PCs. As can be seen,150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry.

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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 inExquisite and Hot Sale 55" Curve Screen LED TV UHD with Android System That Makes a Perfect Visual Experience), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFlexible Label Laser Marking Machine) 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.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories. 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.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Servicedemonstrate 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,300cc Cargo Tricycle of Asia Market[9] were tested by different statistical approaches.Malaysia Laser Marking Machines for Jewelleryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Building Material Commercial Plywood with Carb to Europe(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 in7PCS Cosmetic Brush Bag Makeup Case Roll.

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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].China Jiaxing Jarol Frequency Inverter 0.75kw/220V New/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.Portable Laptop Digital Automatic Ultrasound Bone Densitometer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China, required air pressure, and power were considered as predictor variables simultaneously.

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Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification$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.Textile Crane Centrifugal 380V Variable Frequency Drive VFD, 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%)2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports. 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.AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale. Moreover,Inverter Cabinet VFD Frequency AC Drives 15kw Motor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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 (5GHz 30dBi Grid Parabolic Antenna ), maintenance (5GHz Dish Parabolic Antenna 29dBi), 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,12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty), and annual cost index of mineral processing equipment.loader with excavator grapple wheel mini for sale good quality, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah. Maximum MAER of 13.5% and minimum R2of 0.2ND Generation Ultrasound Bone Densitometer-feasibility and even feasibility study level of projects.

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E1 Glue Malamine Mositure-Proof MDF with Carb Certification, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-5GHz 18dBi Dual Polarized Enclosure Antenna .Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Head Gasket ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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