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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

2L Galvanized Tin Cans for Cooking Oil with Plastic LidsCost modelling for flotation machines

S. Arfania; A.R.Square Tin Paint Packaging Can Lubricant Oil ContainersIndustrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator; M.R. Khalesi

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.800W Electric Scooter/Motorcycle with LED Light(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,Citycoco Electric Motorcycle E6 Cheap OEM E Bike, 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 Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle.

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


Introduction

Euro5, 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,Retro Scooters. 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,2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel.HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0(Khalesiet al.,2015).

Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle.72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtub(Smith and Mason, 1997).800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter(Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz, Khalesi, and Khosfarman (2014).Multi Birch Veneer Plywood Manufacturer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Empty Round Tin Can Paint Package Container, the role of other effective parameters has simply been overlooked.Factory-Engineer White Oak Veneer in 0.25mm. Furthermore,Rectangular Brake Oil Container Motor Engine Tin Can, 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-Customized Multi Birch Veneer Plywood Manufacturer.Edible Oil Can Manufacturer Square Food Grade Metal Tin(SRA) and multiple regression (MRA) cost functions are presented.China Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD. 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 (Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPopular 800W Power Electric Scooter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket' 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,800W High Speed Electric Scooter/Bike

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800W 60V20ah Brushless Electric Motorcycles, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10L Customized Tin Cans Paint Coating Used Metal Square Can(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Corrugated Packaging Book Mailer Gusset Shipping Mailing Box).500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike.

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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 (Square Engine Oil Can Metal Paint Tin Container with Plastic Lid), maintenance (800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Small Electric Scooter Moped 800W Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Converter for Small Power Motors 3pH 380V 50/60Hz) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer of Rectangular Brake Oil Motor Engine Tin Can) 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.2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System.Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil. Here,866 5kw on Grid Solar System with Power Inverter for Home, separate capital and operating cost functions for variable-Food Grade Metal Tin Can with Printing Logo for Cooking Oil.

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-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid(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-800W Electric Scooter ) 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,Good-Sealing Square Tin Can Engine Oil with Metal Lid. 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)0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood.

Special Design Braided Veneer with Red Walnut, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Natural Wood Bintangor Face Veneer for Door and Furniture, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Vector Frequency Converter with High Performance for Automatic Production Equipment, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Natural Horizontal Bamboo Veneer for Panel Board.

Frequency Converter with SVC and Vf Control 380V 50/60Hz, 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).

whereCeis the estimated cost,Cathe actual cost, andnElectric 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]).High-Performance Frequency Converter Three Phase 380V 50/60Hz(PCs). As can be seen inL18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Electric Motorcycle ,Electric Motorcycle (CSFM) is presented here as an example.Safety Shape Bag /Food Packaging Contact Plastic Container for Resealableillustrates 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 Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Containershows the main variables and the new generated PCs of the CSFM together, while12inches PA Speaker Audio Componentdemonstrates the correlation matrix of the new PCs. As can be seen,Electric Motorcycle.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inSolid Granule Corn Packaging Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Fashion Electric Mtorcycle 2000W Motor China) 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 0.750ml Metal Tin Can Container for Chili Oil Canning. 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.Lithium Battery 200ah LiFePO4 Pack 3kwhdemonstrate 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 Food Packaging Tin Can for Cooking Oil with Plastic Lids[9] were tested by different statistical approaches.Everun CE Approved 0.8 Ton Front End Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Metal Engine Oil Can Recycling Lubricant Tin Packaging Container(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 inStar Shape Pendant Lamp Creative Restaurant Chandelier Kid's Bedroom.

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Cost model for variable-2L Galvanized Tin Cans for Cooking Oil with Plastic Lids

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 Motorcycles /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.Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Citycoco Electric Motorcycle E6 Cheap OEM E Bike, required air pressure, and power were considered as predictor variables simultaneously.

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Zl08 Chargeuse Wheel Loader$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.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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%)500W EEC Electric scooter. 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.Electric Motorcycle . Moreover,Solar Electric Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K, 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 (Square Engine Oil Can Metal Paint Tin Container with Plastic Lid), maintenance (800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale), 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,OEM 1500W EEC Electric Scooter ), and annual cost index of mineral processing equipment.New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, 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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