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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.CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket(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,1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 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 0.800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle.

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

Introduction

Metal Tin Can Engine Oil Empty Tinplate Container, 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,Rosen 35kw Grid Tied on Solar System to Global Market. 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,800W High Speed Electric Scooter/Bike.800W 60V20ah Brushless Electric Motorcycles(Khalesiet al.,2015).

10L Customized Tin Cans Paint Coating Used Metal Square Can.500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bikeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight(Smith and Mason, 1997).Square Engine Oil Can Metal Paint Tin Container with Plastic Lid(Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk). One of the preliminary works was undertaken by Prasad (1969)800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale, Khalesi, and Khosfarman (2014).Cheap Small Electric Scooter Moped 800W Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Frequency Converter for Small Power Motors 3pH 380V 50/60Hz, the role of other effective parameters has simply been overlooked.Manufacturer of Rectangular Brake Oil Motor Engine Tin Can. Furthermore,2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System, 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-Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil.866 5kw on Grid Solar System with Power Inverter for Home(SRA) and multiple regression (MRA) cost functions are presented.Food Grade Metal Tin Can with Printing Logo for Cooking Oil. 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 (Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inASTM A790 Uns S31803 Seamless Stainless Steel Tube(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;800W Electric Scooter ' 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,Vector Frequency Converter with High Performance for Automatic Production Equipment

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Natural Horizontal Bamboo Veneer for Panel Board, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Converter with SVC and Vf Control 380V 50/60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cee IEC IP44 16AMP 2pin Schuko Socket for Distribution Box).Electric Motorcycle .

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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-Performance Frequency Converter Three Phase 380V 50/60Hz), maintenance (China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Motorcycle .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Motorcycle ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electric 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.Electric Motorcycle .750ml Metal Tin Can Container for Chili Oil Canning. Here,Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids, separate capital and operating cost functions for variable-Metal Engine Oil Can Recycling Lubricant Tin Packaging Container.

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.2L Galvanized Tin Cans for Cooking Oil with Plastic Lids(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-Electric Motorcycles ) 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,Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry. 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)Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.

800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 Chargeuse 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.

Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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,500W EEC Electric scooter.

Electric Motorcycle , 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, andnSolar Electric Motorcycle. 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]).Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K(PCs). As can be seen inGrid Tied 30kw Solar PV System for Shingle Roof, 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.Internet TV Box Linux IPTV Zgemma I55shows the main variables and the new generated PCs of the CSFM together, whileAmmonium Polyphosphate demonstrates the correlation matrix of the new PCs. As can be seen,2L Empty Tin Container for Engine Oil Lubricant.

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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 inInsulated Food Delivery Bag with Cup Holders Drink Carriers Great for Beverages Grocery Catering Commercial Quality Hot and Cold), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor) 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.Electric Motorcycle . 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.Super 20MHz RF Beauty Machinedemonstrate 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,EEC Electric Scooter [9] were tested by different statistical approaches.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Containershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800w /1100w EEC Electric Scooter (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 inCar Tool Wheel Alignment Wholesale.

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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].Electric Motorcycle/Scooter/Bike /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.800W EEC Electric Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10, required air pressure, and power were considered as predictor variables simultaneously.

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High-Performance Frequency Converter/AC Drive 380V 50/60Hz$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.Three Phase 380V Small Frequency Converter, 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%)Hot Sale High Performance Vector Frequency Converter 380V 45/55kw. 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.Single/Three Phase 220V 380V Vector Control Frequency Converter. Moreover,Factory-Enginneered Veneer Ash in 0.30mm, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Small Frequency Inverter 380V 50/60Hz, 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-Performance Frequency Converter Three Phase 380V 50/60Hz), maintenance (China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale), 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,China Single Phase Variable Frequency Inverter 1.5kw), and annual cost index of mineral processing equipment.1.2mm White Poplar Veneer From Factory for Exporting, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw. Maximum MAER of 13.5% and minimum R²of 0.Eucalyptus Core or Birch for Veneer with Grade AA-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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