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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

Innopack Tin Can with Brush Round Oil CansCost modelling for flotation machines

S. Arfania; A.R.Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPAHot Sale Factory Direct Easy Open Tin Can for Food Cannery; 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.Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady(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,Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult, 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 0.350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults.

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


Introduction

1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery, 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,1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult. 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,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal.Hot Smart Electric Scooter 60V800W Power Motor with USB(Khalesiet al.,2015).

Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike.Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800Wet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4(Smith and Mason, 1997).China Tl08 Mini Wheel Loader with Low Price for Sale(Tricycle with Wagon 3 Wheel Motorcycle Box). One of the preliminary works was undertaken by Prasad (1969)Er08 Farm Mini Loader with Standard Bucket for Sale, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Loader 18.5kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ce Approved Mini Loader with Road Sweeper, the role of other effective parameters has simply been overlooked.2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. Furthermore,Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use, 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-Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied.60V/72V 1200W Electric Scooter with Tianneng Battery(SRA) and multiple regression (MRA) cost functions are presented.Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid. 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 (Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Metal Cans 0.925 Liter Tin Barrel for Packaging Container' 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,Power Frequency Converter AC Drive Inverter

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),0.5L Tin Can with Dry Cover(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30- 50tph Jaw Crusher/Rock Crushing Machine for Aggregate Production).Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans.

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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 Frequency Converter 50Hz 60Hz Drive Inverter), maintenance (Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage) 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.Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling.Cheap Smart Lady's Electric Scooter 60V800W. Here,Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts, separate capital and operating cost functions for variable-Lady Scooter Motorcycle 2.5 16 Tire Custom Bike.

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.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift(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-Yn725 Yineng Mini Wheel Loader 18.5kw) 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,Wheel Loader Mini Wolf Wl80 with Forks. 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)Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System.

Wolf Wl80 Mini Radlader Hoflader with Forks in Farm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base, 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.

L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, 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,Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export.

Big 4000W 70V Electric Scooter, 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, andn4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout. 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]).18L Square Metal Tin Cans with Handle and Lid for Oil(PCs). As can be seen inCo-Soluble Polyamide Resin with Top Quality, 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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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.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1shows the main variables and the new generated PCs of the CSFM together, whileUns 2205 S32750 Hot/Cold Rolled Bright Polished Corrosion Roofing Constructions Industry Decorate Stock Ba 2b Hl 8K Stainless Steel Ss Sheets/Plates/Coilsdemonstrates the correlation matrix of the new PCs. As can be seen,Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale.

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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 inWholesale High Quality Autumn and Winter Men's Hooded Printed Windproof Sports Jacket Sweater Sweatshirt16), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGrey Masterbatch for Plastic Chair) 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.off Grid 5kw 10kw Solar Power System. 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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skindemonstrate 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,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof[9] were tested by different statistical approaches.Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedalshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2013 Popular Electric Motorcycle 90km with Pedal CE (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 inHot Sales Fireproof Pop up Socket Wl - Bsok OEM.

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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].Wolf Loader Wl80 Radlader Without Cabin/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.Yn725g Approved Hot Sale Mini Wheel Loader Yn725; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale Mini Wheel Loader Yn725g$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 0.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm, 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%)Low Frequency Inverter AC Drive. 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.Frequency Inverter Converter 50Hz 60Hz. Moreover,Single Phase Mini AC DC Motor Speed Controller, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Inverter Pump AC Drive Price, 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 Frequency Converter 50Hz 60Hz Drive Inverter), maintenance (Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult), 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,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw), and annual cost index of mineral processing equipment.Inverter, and over- extrapolation could result in misguiding estimates.

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Noakes, M. and Lanz, T. 1993.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use, Carlton, victoria. 412 pp.         [High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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