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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.China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas 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,China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery, 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.Linux TV Box International Internet Smart IPTV Zgemma I55.

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

Introduction

Replica Aluminum Alloy Wheels for BMW, 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,20" Inch Replica Aluminum Alloy Wheels for Astonmartin. 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,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player.Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Apr125 Red Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNitrogen Chemical Fertilizer Ammonium Sulfate 21%Min(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Apr125-2 White Motorcycle' 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,Popular Medical Device Automatic Bone Densitometer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Cargo Three Wheel Tricycle for Sale From China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diesel Dump Central Steering Drive Three Wheeler From China for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cement Roof Tile Machine/ Construction Machine in Nigeria Zimbabwe).Chinese Diesel Three Wheel Tricycle with Sunshade.

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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 (One and Half Rows Three Wheeler for Sale), maintenance (Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Adult 800W Power Electric Scooter Suit for Woman.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800W Electric Motorbike with Front Disc Brake) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle) 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.dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model. Here,800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle, separate capital and operating cost functions for variable-New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power.

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.5GHz 30dBi Grid Parabolic Antenna (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-5GHz Dish Parabolic Antenna 29dBi) 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 Dual Band H-Pol Sector 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)Electric Dirt Bike Zm-Es18 with 500W- 800W Motor.

5GHz 20dBi Enclosure WLAN Antenna, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz 45deg Dual Pol Sector Antenna, 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.

5GHz 23dBi Enclosure WiFi 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,5GHz Dual Pol Sector Antenna with Enclosure .

5GHz 34dBi Dish WLAN Antenna, 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, andn5GHz 18dBi Dual Polarization Sector WiFi 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]).18W RGB Resin Filled LED Surface Mounted Underwater Pool Light(PCs). As can be seen inHigh Quality with Good Price Oxytetracycline HCl Powder, 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.Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Containershows the main variables and the new generated PCs of the CSFM together, while3HP Frequency Converter Vector Three Phasedemonstrates the correlation matrix of the new PCs. As can be seen,E1 Glue Malamine Mositure-Proof MDF with Carb Certification.

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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 inWholesale Crystal Tear Drops for Lighting Fixtures Decoration), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from99% Glycolic Acid Powder CAS 79 -14-1) 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.Quality 18mm Carb Birch Okoumen Plywood. 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.Modern Furnituredemonstrate 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,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale[9] were tested by different statistical approaches.China Supplier Ammonium Sulphate Compound Fertilizershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.30kw Grid Tied Solar Power System Home Popular in Philippines(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 inAutomatic Detergent Powder Packing Machine.

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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].IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty/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.50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery, required air pressure, and power were considered as predictor variables simultaneously.

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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.Building Material Commercial Plywood with Carb to Europe. Moreover,AL908 800kg Rated Load Wheel Loader with CE Approved for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 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 (One and Half Rows Three Wheeler for Sale), maintenance (Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc), 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,Portable Laptop Digital Automatic Ultrasound Bone Densitometer), and annual cost index of mineral processing equipment.Haiqin Brand 0.8ton Mini Loader , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Jarol Solar Inverter 5.5kw 3 Phase. Maximum MAER of 13.5% and minimum R²of 0.Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification-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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