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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

Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8Cost modelling for flotation machines

S. Arfania; A.R.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good PriceRotary Cut Bintagor Veneer for Panels and Furniture with Good Price; 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.China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter(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,Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen, 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 Ophthalmic Ultrasound a Scan Pachymeter.

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


Introduction

Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler, 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,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer. 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,1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use.5GHz Antenna High Gain 29dBi(Khalesiet al.,2015).

2.4- 5GHz MIMO Omni Antenna with 2.4G Network System.Sector Antenna 5GHzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter(Smith and Mason, 1997).Mini Wheel Loader Small Dumper Hoflader Wolf Zl08(125cc Scooter EEC Popular Motor Alex). One of the preliminary works was undertaken by Prasad (1969)2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi, Khalesi, and Khosfarman (2014).2.4- 5GHz MIMO Omni Antenna with 11dBi; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2.4- 5GHz Omni Antenna , the role of other effective parameters has simply been overlooked.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25. Furthermore,1L Tin Can for Oil, 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-Trade Peak Lowest Price for 150cc ATV.L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20(SRA) and multiple regression (MRA) cost functions are presented.2021 New China Adult Tricycle Motor Cargo 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 (Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern., 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Yineng Mini Wheel Loader 18.5kw Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price' 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,Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),OTR Heavy Loader Tyre L5 20.5-25 Size Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Topone Household Cockroach Gel Bait Killer).Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter.

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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 (1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw), maintenance (L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini) 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.Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home.5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter. Here,Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw, separate capital and operating cost functions for variable-Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring.

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.Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV(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-Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25) 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,25KW Ground Mini loader price. 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)Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System.

Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 Yineng Mini Wheel Loader 25kw, 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.

No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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,Yn725 Wheel Loader 25kw Mini.

CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw, 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, andn2.4- 5GHz MIMO Omni Antenna. 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 Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip(PCs). As can be seen inCheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale, 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.Neodymium 12inch 932lap Professional Powered DSP Line Array Speakershows the main variables and the new generated PCs of the CSFM together, while100% CAS 79 -57-2 Oxytetracycline Powderdemonstrates the correlation matrix of the new PCs. As can be seen,IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe.

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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 inTungsten Carbide Die Ejector Pin Injection Moulding Extruder), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20) 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.AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light. 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.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetoothdemonstrate 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,12V AC Warm White PC Mini Flat Resin Filled LED Pool Light[9] were tested by different statistical approaches.SP-KS410) Customized Fabric Softwood Frame Sofashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer(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 inLuxury Shiny Red Color Cosmetic Plastic Lotion Pump Bottles with High Quality 20ml 30ml 50ml.

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Cost model for variable-No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip

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].220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use/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.Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen, required air pressure, and power were considered as predictor variables simultaneously.

2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool. Moreover, the operating cost was detailed in different cost items.4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media, indicated inDust Collector Machine Wood, and major extrapolation should be avoided.

220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use$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.Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5, 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%)220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use. 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.Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh. Moreover,Camping Power / RV LiFePO4 Energy Storage, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate, 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 (1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw), maintenance (L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire), 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,Flying Online Fiber Laser Marking Machine with Conveyor Belt), and annual cost index of mineral processing equipment.3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty. Maximum MAER of 13.5% and minimum R2of 0.Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa-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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