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.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use(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,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, 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 0.60V/72V 1200W Electric Scooter with Tianneng Battery.

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

Introduction

Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid, 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,Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power 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,Metal Cans 0.925 Liter Tin Barrel for Packaging Container.Frequency Inverter Pump AC Drive Price(Khalesiet al.,2015).

Frequency Inverter VFD AC Drive.Power Frequency Converter 60Hz 50Hz Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail(Smith and Mason, 1997).Frequency Converter for Water Pump(Uns 2205 S32750 Hot/Cold Rolled Bright Polished Corrosion Roofing Constructions Industry Decorate Stock Ba 2b Hl 8K Stainless Steel Ss Sheets/Plates/Coils). One of the preliminary works was undertaken by Prasad (1969)Power Frequency Converter AC Drive Inverter, Khalesi, and Khosfarman (2014).Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,0.5L Tin Can with Dry Cover, the role of other effective parameters has simply been overlooked.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans. Furthermore,AC Frequency Converter 50Hz 60Hz Drive Inverter, 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-Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult.Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap(SRA) and multiple regression (MRA) cost functions are presented.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W. 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 (850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDouble 12inch Active Coaxial 29kg Line Array Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling' 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,Yn725 Yineng Mini Wheel Loader 18.5kw

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wheel Loader Mini Wolf Wl80 with Forks, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UK Plug 9V 1200mA Power Supply AC/DC Adapter).Wolf Wl80 Mini Radlader Hoflader with Forks in Farm.

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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 (High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base), maintenance (L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Big 4000W 70V Electric Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout) 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.18L Square Metal Tin Cans with Handle and Lid for Oil.Glue Tin Can with Plastic Lid / Square Metal Paint Sizes. Here,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service, separate capital and operating cost functions for variable-Grid Tied 30kw Solar PV System for Shingle Roof.

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.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale(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-Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase) 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,off Grid 5kw 10kw Solar Power System. 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)Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof.

2013 Popular Electric Motorcycle 90km with Pedal CE , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, 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.

Wolf Loader Wl80 Radlader Without Cabin, 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,Yn725g Approved Hot Sale Mini Wheel Loader Yn725.

Er08 New CE Approved Small Shovel Loader, 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, andnEverun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader. 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]).Hot Sale Mini Wheel Loader Yn725g(PCs). As can be seen inGrey Masterbatch for Plastic Chair, 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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Low Frequency Inverter AC Drive,Frequency Inverter Converter 50Hz 60Hz(CSFM) is presented here as an example.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skinillustrates 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.Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedalshows the main variables and the new generated PCs of the CSFM together, whileISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubesdemonstrates the correlation matrix of the new PCs. As can be seen,Single Phase Mini AC DC Motor Speed Controller.

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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 inThe Best Choice for Portable Mini Medical Oxygen Concentrator 10L Large Flow Machine O2 Generator with Atomizing Function Home), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChinese Mini Radlader 800kg Wheel Loader with Pirce) 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.Jarol Frequency Inverter JAC200 3 Phase 380V 4kw. 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.Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Pricedemonstrate 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,Inverter[9] were tested by different statistical approaches.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.AC Drive Inverter Low Frequency Power(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 inCody Lundin Wholesale Dry Quick Slim Fit Sport Fitness Workout T Shirts in Stocks 2021 Wor.

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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].AC Drive Variable Drive/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.China AC Drive Manufacturers; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, required air pressure, and power were considered as predictor variables simultaneously.

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1500W Electric Motorcycle$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.High Speed Electric Motorcycle Scooter, 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%)Bl-Xgz Electric Motorcycle. 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.Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android. Moreover,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bl-Xgw Electric Motorcycle, 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 (High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base), maintenance (L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box), 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,Yineng Yn725 Mini Wheel Loader 18.5kw Cabin), and annual cost index of mineral processing equipment.Yn725 Mini Small Perkins Engine Wheel Loader, 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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