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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

New Quadrant Shower Enclosure with One Pivot DoorCost modelling for flotation machines

S. Arfania; A.R.Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4Globalipl RF Roller Vacuum Slimming Apparatus; 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.Bloom Tech API Ceftriaxone Sodium 104376- 79 -6(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,St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator, 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.Generator Automatic Controller Eim 258 -9754 Engine Interface Module.

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


Introduction

99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, 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,Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag. 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,PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade.Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging(Khalesiet al.,2015).

High Temperature Vacuum Retort Pouch for Food Packaging.Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookieset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Carbon Black Masterbatch for Injection Moulding(Smith and Mason, 1997).Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag(Horn Speaker M-776). One of the preliminary works was undertaken by Prasad (1969)High Barrier Vacuum Bag& Packaging Films for Food Pakcing, Khalesi, and Khosfarman (2014).Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Oxygen Barrier Transparent Vacuum Plastic Bag, the role of other effective parameters has simply been overlooked.Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker. Furthermore,DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755, 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-Fruit and Vegetables Packaging Materials Vacuum Nylon Bag.7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag(SRA) and multiple regression (MRA) cost functions are presented.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker . 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 (Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 Inch High Quality PA Speaker 10tbx100' 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,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Horn Speaker M-776, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),55 Inch Stand Alone Digital Photo Booth LCD Advertising Display(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Pnshar Paperboard Crush Testing Equipment).Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk.

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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 (USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6), maintenance (Wilson Parts Eim Module Engine Interface Control 258 -9753) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Medrogestone Top Quality Low Price 977- 79 -7) 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 Supply High Quality Ademetionine 1.China Supplier 1. Here,Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder, separate capital and operating cost functions for variable-CAS: 79 -44-7 Dimethylcarbamoyl Chloride .

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.Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed(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-Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt) 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 Quality CAS: 97240- 79 -4 Topiramate Powder Price. 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)High Purity 99% Intermediate 1.

Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Tretinoin with Good Price , 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.

Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, 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,Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755.

High Purity Organic Intermediate  1, 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, andnGenerator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine. 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]).Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control(PCs). As can be seen inProfessional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2, 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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Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V,5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator(CSFM) is presented here as an example.1L Plastic Trigger Sprayer Bottle with Sprayillustrates 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.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18shows the main variables and the new generated PCs of the CSFM together, whileMotorbicycle with Efi Fuel Supply and Steel Tube Framedemonstrates the correlation matrix of the new PCs. As can be seen,Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753.

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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 inAuto Lifting 3D Wheel Alignment Made in China), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier) 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.Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755. 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.Birch Plywood 2-Way Crossover Passive Loudspeaker demonstrate 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,Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754[9] were tested by different statistical approaches.Motor Cargo Tricycle for 2-3ton Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.100% Copper Wire St Series Single Phase Generator / Alternator (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 inUs Type Eye Hoist Hook 320 322 Lifting with Latch Sling.

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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].100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator /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.Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator, required air pressure, and power were considered as predictor variables simultaneously.

24kVA St Series Single Phase Generator . Moreover, the operating cost was detailed in different cost items.20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator, indicated inLlantas High Quality L5 OTR Tyre 26.5-25, and major extrapolation should be avoided.

20kVA St Series Single Phase Generator $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.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden 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%)7.5kVA St Series Single Phase Generator . 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.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio. Moreover,2 Way Passive 10 " Professional PRO Audio PA Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Stc Series Three Phase Dynamo Generator , 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 (USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6), maintenance (Wilson Parts Eim Module Engine Interface Control 258 -9753), 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 Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder), and annual cost index of mineral processing equipment.Stc Series Three Phase Dynamo Generator , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,CAS: 74- 79 -3 Amino Acid L-Arginine. Maximum MAER of 13.5% and minimum R2of 0.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic-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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