GENERAL PAPERS

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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.Power Smart Electric Scooter with LED Light 60V800W20ah(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,3HP Three Phase Frequency Converter, 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 0.1HP Frequency Converter Vector Three Phase.

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

Introduction

15HP Frequency Converter Vector Three Phase, 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,2HP Frequency Converter Vector Single Phase. 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,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.Home Use 6kw Grid Tied Solar Power System with High Performance(Khalesiet al.,2015).

Hot Sale 10kw 10000W off Grid Solar Power System Home Use.4kw 3phase Frequency Converter 50Hz to 60Hzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip(Smith and Mason, 1997).1.5kw 3phase Frequency Converter 50Hz to 60Hz(PRO Audio Speaker Dual 10 " Line Array). One of the preliminary works was undertaken by Prasad (1969)Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels, Khalesi, and Khosfarman (2014).Round Tin Can for Food Packaging Empty Tinplate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal, the role of other effective parameters has simply been overlooked.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs. Furthermore,Technical Wood Veneer MDF Boards for Cupboard, 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-High Quality Small Metal Tin Can with Open Top Lid for Lubricant.Long Using Life Shuttering Plywood with Logo for Construction(SRA) and multiple regression (MRA) cost functions are presented.Huihuang Bamboo Fence Timbers. 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 (Solar Power System Home 5kw off Grid Tied Solution, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAcrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Variable Frequency Inverter Solar Pump DC/AC(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Anti Slip Kitchen Flooring Vinyl 5 Thick Spc).Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box.

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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 (2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing), maintenance (1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale) 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.Customized B/C/D/E Grade Wood/Natural Birch Veneer.3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door. Here,Cute Cheap Electric Scooter for Lady of 60V800W20ah From China, separate capital and operating cost functions for variable-Many Designs Moulded Door Skin for Interior.

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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin(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-Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA) 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,Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady. 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)Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult.

350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery, 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.

1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult, 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,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal.

Hot Smart Electric Scooter 60V800W Power Motor with USB, 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, andnFactory Direct Supply High Speed Electric Motorcycle Throttle Control Bike. 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]).Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W(PCs). As can be seen inBulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady, 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.CATV 860MHz One Way Amplifiershows the main variables and the new generated PCs of the CSFM together, whileManufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolatedemonstrates the correlation matrix of the new PCs. As can be seen,Ce Approved Mini Loader with Road Sweeper.

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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 in14.4W SMD5050/2835 Water-Resistant 60LEDs/120LEDs LED Tape/Flexible RGB Strip Light), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPeonylighting 800W High Pole Stadium LED Flood Yard Lamp) 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.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use. 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.Grid Tied 11kw Solar Panel System Home Commercial Power Supplydemonstrate 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,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied[9] were tested by different statistical approaches.Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.60V/72V 1200W Electric Scooter with Tianneng Battery(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 inMultipurpose Student Anti Theft Travel Backpack Business USB Charging Computer Laptop.

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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].Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System/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.Metal Cans 0.925 Liter Tin Barrel for Packaging Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3HP Three Phase Frequency Converter, required air pressure, and power were considered as predictor variables simultaneously.

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Power Frequency Converter 60Hz 50Hz Price$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.Frequency Converter for Water Pump, 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%)Power Frequency Converter AC Drive Inverter. 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.Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals. Moreover,0.5L Tin Can with Dry Cover, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, 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 (2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing), maintenance (1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical), 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,AC Frequency Converter 50Hz 60Hz Drive Inverter), and annual cost index of mineral processing equipment.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap. Maximum MAER of 13.5% and minimum R²of 0.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W-feasibility and even feasibility study level of projects.

References

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Lashgari, A.Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, A.R. 2013.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift,Yn725 Yineng Mini Wheel Loader 18.5kw,vol. 23. pp. 441-446.         [21.5 Inch Advertising Digital Signage Video Player with Non-Contact Foaming Soap Hand Sanitizer Dispenser for LCD Displays]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export.Big 4000W 70V Electric Scooter.L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, Montreal. 319 pp.         [Alloy Ldx 2101 Uns S32101 Stainless Steel Plate]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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