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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.Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery(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,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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 0.0.18mm Zebra Wooden Veneer.

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

Introduction

Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, 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,High Grade Block Board for Furniture Produce. 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,954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Innopack Tin Can with Brush Round Oil Cans, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Powder Vitamin a for Food and Feed Grade(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale' 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),350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sulfur Donor Vulcanizing Agent 4).Fluid Storage Containers Lubricants for Use.

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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 (0.8t 800kg Small Loader), maintenance (Factory Direct High Quality Glue Round Tin Cans with Brush) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cute Street Electric Scooter with LED Light 60V800W20ah) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lady's Smart Electric Scooter Motorcycle 60V800W20ah) 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.Reconstituted Composite Woven Veneer Braided.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult. Here,Roof Mounting 20kw Grid Tied Solar Power System Home, separate capital and operating cost functions for variable-Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.

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.Wolf 0.8t Mini Loader with Grass Fork(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-Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket) 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,Zl08f Wheel Loader with Rops Cab. 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)2HP 1 Phase Frequency Converter.

7.5HP Three Phase Frequency Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (3HP 1 Phase Frequency Converter, 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.

3HP 1 Phase Frequency Converter, 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,10HP Three Phase Frequency Converter.

3HP Frequency Converter Vector Three Phase, 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, andn15HP Three Phase Frequency Converter. 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]).Power Smart Electric Scooter with LED Light 60V800W20ah(PCs). As can be seen inHigh Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock, 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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1HP Frequency Converter Vector Three Phase,15HP Frequency Converter Vector Three Phase(CSFM) is presented here as an example.He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeterillustrates 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.Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ionshows the main variables and the new generated PCs of the CSFM together, whileArticulated Loader Mini Compact Wheel with Shoveldemonstrates the correlation matrix of the new PCs. As can be seen,2HP Frequency Converter Vector Single Phase.

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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 inTravel Custom Polyester Luggage Belt with Name Tag), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromEp Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4) 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.Home Use 6kw Grid Tied Solar Power System with High Performance. 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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Servicedemonstrate 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,Hot Sale 10kw 10000W off Grid Solar Power System Home Use[9] were tested by different statistical approaches.0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.4kw 3phase Frequency Converter 50Hz to 60Hz(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 inAffordable 86inch Indoor 4K Advertising Passenger Information Display in Airport.

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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].Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels/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.Round Tin Can for Food Packaging Empty Tinplate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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.Huihuang Bamboo Fence Timbers. Moreover,Solar Power System Home 5kw off Grid Tied Solution, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults, 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 (0.8t 800kg Small Loader), maintenance (Factory Direct High Quality Glue Round Tin Cans with Brush), 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,Power Mini Electric Scooter for Lady 60V800W), and annual cost index of mineral processing equipment.Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult. Maximum MAER of 13.5% and minimum R²of 0.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof-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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