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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.2.4- 5GHz MIMO Omni Antenna with 2.4G Network System(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,Sector Antenna 5GHz, 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.Mini Wheel Loader Small Dumper Hoflader Wolf Zl08.

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

Introduction

2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi, 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 11dBi. 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,2.4- 5GHz Omni Antenna .E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25(Khalesiet al.,2015).

1L Tin Can for Oil.Trade Peak Lowest Price for 150cc ATVet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Three Wheel Trolley Tube Type Tire 90/90-18(Smith and Mason, 1997).L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20(Dirt Bike for Sport Using with Large Power Engine). One of the preliminary works was undertaken by Prasad (1969)2021 New China Adult Tricycle Motor Cargo for Sale, Khalesi, and Khosfarman (2014).Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price, the role of other effective parameters has simply been overlooked.Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket. Furthermore,2021 New Model 125cc 150cc Ce Approval off Road ATV, 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-E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25.40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder(SRA) and multiple regression (MRA) cost functions are presented.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce. 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 Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;OTR Heavy Loader Tyre L5 20.5-25 Size Best 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,Lithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Beach Garden Wedding Dress White Chiffon Sweetheart 3D Flower Bridal Dresses).5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup 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 (Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw), maintenance (Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (25KW Ground Mini loader price) 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.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. Here,Yn725 Yineng Mini Wheel Loader 25kw, separate capital and operating cost functions for variable-No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip.

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.Yn725 Wheel Loader 25kw Mini(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-CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw) 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,2.4- 5GHz MIMO Omni Antenna. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, 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.

Yn725 Yineng Mini Wheel Loader 25kw, 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,IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe.

Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine, 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, andnAC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light. 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]).12V AC Warm White PC Mini Flat Resin Filled LED Pool Light(PCs). As can be seen inPortable Ultrasonic Ophthalmology Ophthalmic a/B Scan, 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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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.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Lightshows the main variables and the new generated PCs of the CSFM together, whilePerkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410demonstrates the correlation matrix of the new PCs. As can be seen,Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market.

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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 in20tpd 50tpd 100tpd 200tpd Complete Parboiled Rice Mill), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSingle 15'' Passive/Active Subwoofer with High Quality Plywood) 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 0.4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media. 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.T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessoriesdemonstrate 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 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use[9] were tested by different statistical approaches.5kw Solar-Diesel Generation Hybrid Grid- Tied Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5(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 inHigh Performance Miniature Low Noise Health Portable Oxygen Generator.

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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].Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh/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.Camping Power / RV LiFePO4 Energy Storage; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sector Antenna 5GHz, required air pressure, and power were considered as predictor variables simultaneously.

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3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate$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 Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty, 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%)Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa. 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.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi. Moreover,381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer, 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 (Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw), maintenance (Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring), 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,CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices), and annual cost index of mineral processing equipment.100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, 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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