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N21% White Granular Ammonium SulphateCost modelling for flotation machines

S. Arfania; A.R.Ho-100 Ophthalmic Ultrasound a Scan PachymeterHot Sale Lady Style 60V 800W 20ah Electric Scooter with USB; 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.Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler(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,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, 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 0.1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use.

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

Introduction

5GHz Antenna High Gain 29dBi, 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,2.4- 5GHz MIMO Omni Antenna with 2.4G Network System. 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,Sector Antenna 5GHz.Mini Wheel Loader Small Dumper Hoflader Wolf Zl08(Khalesiet al.,2015).

2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi.2.4- 5GHz MIMO Omni Antenna with 11dBiet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Finished Surface HD Truck Wheel 17.5inch Rims Steel(Smith and Mason, 1997).2.4- 5GHz Omni Antenna (4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media). One of the preliminary works was undertaken by Prasad (1969)E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25, Khalesi, and Khosfarman (2014).1L Tin Can for Oil; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Trade Peak Lowest Price for 150cc ATV, the role of other effective parameters has simply been overlooked.L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20. Furthermore,2021 New China Adult Tricycle Motor Cargo for Sale, 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-Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern..Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price(SRA) and multiple regression (MRA) cost functions are presented.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket. 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 (2021 New Model 125cc 150cc Ce Approval off Road ATV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inInfiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25' 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,Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3D Wheel Alignment Machine Series).Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood.

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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 (Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device), maintenance (New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw) 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.Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring.Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV. Here,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25, separate capital and operating cost functions for variable-25KW Ground Mini loader price.

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.Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System(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-Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter) 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,Yn725 Yineng Mini Wheel Loader 25kw. 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)No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip.

Yn725 Wheel Loader 25kw Mini, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

2.4- 5GHz MIMO Omni Antenna, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip.

off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase, 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).

whereC_eis the estimated cost,C_athe actual cost, andn12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty. 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]).Yn725 Yineng Mini Wheel Loader 25kw(PCs). As can be seen inWuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light(CSFM) is presented here as an example.Portable Ultrasonic Ophthalmology Ophthalmic a/B Scanillustrates 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.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array Systemshows the main variables and the new generated PCs of the CSFM together, whileCAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Inkdemonstrates the correlation matrix of the new PCs. As can be seen,12V AC Warm White PC Mini Flat Resin Filled LED Pool Light.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inPromotional Gifts Flower Lapel Pin), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6) 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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip. 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.Single 15'' Passive/Active Subwoofer with High Quality Plywooddemonstrate 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,220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use[9] were tested by different statistical approaches.10 Inch Powered Line Array Speaker Activeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market(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 inSmall Business Equipment Hollow Block Making Machines.

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Cost model for variable-2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool

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].4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media/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.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, required air pressure, and power were considered as predictor variables simultaneously.

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Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh$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.Camping Power / RV LiFePO4 Energy Storage, 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%)3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate. 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.Flying Online Fiber Laser Marking Machine with Conveyor Belt. Moreover,3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty, 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 (Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device), maintenance (New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini), 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,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa), and annual cost index of mineral processing equipment.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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