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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.Living Room Furniture(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,Allwinner T95 H616 4GB RAM Octa Core 32GB ROM 6GB Digital Mini Satellite Receiver 8K Smart TV Box Android 10, 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.Cheapest Set Top Box Mxq PRO Rk3229 Android 7.1 Quad Core 1GB 8GB TV.

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

Introduction

Nordic Leather Sofa Modern Simple Three Seats, 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,Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture. 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,Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner.Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture(Khalesiet al.,2015).

2021 New Modern Design Living Room Leather Sofa.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TVet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw(Smith and Mason, 1997).2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa(High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor). One of the preliminary works was undertaken by Prasad (1969)High Quality European Style Modern Furniture, Khalesi, and Khosfarman (2014).2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter, the role of other effective parameters has simply been overlooked.Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa. Furthermore,7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc, 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-Wholesale Folding Bed   Recliner Sofa Beds Fabric.Modern Furniture(SRA) and multiple regression (MRA) cost functions are presented.Foshan Factory Wholesale High Quality Living Room Leather Sofa. 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 (Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSuper Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motor Electronic Power Frequency Converter 380V 2.2kw' 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,AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hotel Lobby Chandelier).50 to 60 Hz Frequency Converter.

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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 (AC Variable Vector Frequency Inverter), maintenance (Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Drive Frequnce Converter 5.5kw Pump Use ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.8 Ton Mini Wheel Loader with Lowest 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.VFD AC Drive.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V. Here,Water Pump Frequency Inverter, separate capital and operating cost functions for variable-Small Variable-Frequency Drive .

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.VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency(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-VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive) 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,Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply. 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)Compact Mini Farm Loader 800kg Wheel for Sale.

Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.8ton Zl08f Small Wheel Loader, 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.

Loading Machine, 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,Mini Radlader with Ce for Germany and Sweden Market.

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whereC_eis the estimated cost,C_athe actual cost, andnFarm Equipment 800kg Small Loader Payloader for Sale. 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]).Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller(PCs). As can be seen inWholesale High Performance Metal Mc4 Connector, 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.110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyreshows the main variables and the new generated PCs of the CSFM together, whileCompact structure mini loader/wheel loader/ with 0.8ton bucket for building constructiondemonstrates the correlation matrix of the new PCs. As can be seen,Construction Equipment Mini Wheel Loader with Quick Hitch.

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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 inBest Seller Horizontal Ffs Packing Machine for 3 or 4 Side Pouch Doypack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRosen 5kw on Grid Solar System with Tied Inverter) 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.Chinese Mini Radlader 800kg Wheel Loader with Pirce. 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.Three Phase Frequency Inverter Made in China Hot Saledemonstrate 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,Frequency Converter 0.5 HP[9] were tested by different statistical approaches.China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gasshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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 inChina Low Cost Prefabricated Steel Structure Multi- Storey Apartment Buildings.

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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 Board China Vector Control 60Hz to 50Hz VFD Drive Price/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.Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Allwinner T95 H616 4GB RAM Octa Core 32GB ROM 6GB Digital Mini Satellite Receiver 8K Smart TV Box Android 10, required air pressure, and power were considered as predictor variables simultaneously.

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3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules$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.Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box, 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%)Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player. 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.Customized Supported Android 9.0 X96 Air Media Box. Moreover,Mini Loader/Small Wheel Loader Zl08 with CE, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment, 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 (AC Variable Vector Frequency Inverter), maintenance (Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller), 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,Small Wheel Loader Zl08 CE), and annual cost index of mineral processing equipment.Mini Small Hot Sale in Europe Wheel Loader for, 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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