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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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White mobile Hospital Medical Tent

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

Nordic Leather Sofa Modern Simple Three SeatsCost modelling for flotation machines

S. Arfania; A.R.3ru 24 in 1 CATV Fixed Channel Modulator Pin Machine Suppliers Marker Systems; 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.16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle(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,Satellite Ts Encryption HD Receiver with Multiplexing Function, 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.Motor Tricycle Three Wheel Cargo Trike for Sale.

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


Introduction

Motorbicycle for Well Done Accessories, 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 in 1 CATV Modulator Fixed Frequency. 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,8 Channels HDMI to DVB-T Modulator.Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner(Khalesiet al.,2015).

Motor Vehicle for High Speed and Stable Function.Outdoor 750MHz One Way CATV Trunk Amplifier et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box(Smith and Mason, 1997).China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box(HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi). One of the preliminary works was undertaken by Prasad (1969)New Racing Motorcycle, Khalesi, and Khosfarman (2014).Cheap 3 Wheel Cargo Tricycle with Box ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, the role of other effective parameters has simply been overlooked.Motorcycle for 1405mm of Wheel Base. Furthermore,IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China, 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-5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design.China Ophthalmic Equipment(SRA) and multiple regression (MRA) cost functions are presented.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good 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 (China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen' 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,5GHz Antenna High Gain 29dBi

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2.4- 5GHz MIMO Omni Antenna with 2.4G Network System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sector Antenna 5GHz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC Engineer Face Veneer Machinery with Factory Price for Plywood).Mini Wheel Loader Small Dumper Hoflader Wolf Zl08.

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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 (2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi), maintenance (2.4- 5GHz MIMO Omni Antenna with 11dBi) 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 Omni Antenna .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Tin Can for Oil) 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.Trade Peak Lowest Price for 150cc ATV.L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20. Here,2021 New China Adult Tricycle Motor Cargo for Sale, separate capital and operating cost functions for variable-Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern..

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.Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price(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-Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket) 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,2021 New Model 125cc 150cc Ce Approval off Road ATV. 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)E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25.

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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.

Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce, 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,OTR Heavy Loader Tyre L5 20.5-25 Size Best Price.

Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter, 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, andn1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw. 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]).L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire(PCs). As can be seen inMixer Power Amplifier with USB, 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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Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device,New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini(CSFM) is presented here as an example.Vrx932la Compact Line Array Speaker Systemillustrates 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.AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furnitureshows the main variables and the new generated PCs of the CSFM together, whileBest Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8demonstrates the correlation matrix of the new PCs. As can be seen,Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home.

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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 inCustomzie High Quality Cotton Plus-Size Sweatshirts for Women), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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.Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw. 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.Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Saledemonstrate 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,Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring[9] were tested by different statistical approaches.PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV(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 inHand Sanitizer Gel 75 Alcohol Based Sterilization Wash Free.

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Cost model for variable-Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25

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].25KW Ground Mini loader 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.Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Satellite Ts Encryption HD Receiver with Multiplexing Function, required air pressure, and power were considered as predictor variables simultaneously.

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No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip$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.Yn725 Wheel Loader 25kw Mini, 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%)CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw. 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.2.4- 5GHz MIMO Omni Antenna. Moreover,New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase, 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 (2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi), maintenance (2.4- 5GHz MIMO Omni Antenna with 11dBi), 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 DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 25kw, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe. Maximum MAER of 13.5% and minimum R2of 0.Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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