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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

99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0Cost modelling for flotation machines

S. Arfania; A.R.Double 10inch Line Array System Box Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4; 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.Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin(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,PA /CPP Rotort Pouch, 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.China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch.

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


Introduction

Chin Top Supplier Supply L- , 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,Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde. 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,Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price.CAS 79 -14-1 70% Glycolic Acid Powder(Khalesiet al.,2015).

Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7.Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array(Smith and Mason, 1997).Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker(Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags). One of the preliminary works was undertaken by Prasad (1969)Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4, Khalesi, and Khosfarman (2014).Bloom Tech API Ceftriaxone Sodium 104376- 79 -6; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator, the role of other effective parameters has simply been overlooked.Generator Automatic Controller Eim 258 -9754 Engine Interface Module. Furthermore,99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, 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-Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag.PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade(SRA) and multiple regression (MRA) cost functions are presented.Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging. 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 (High Temperature Vacuum Retort Pouch for Food Packaging, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWater Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies' 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,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Fruit and Vegetables Packaging Materials Vacuum Nylon Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Market Promotion Ceramic Gift Free 11 Oz Dishwasher).7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag.

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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 (Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker ), maintenance (Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 Inch High Quality PA Speaker 10tbx100.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Audio System 5" 10 -35W Ceiling Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ultra Low Nosie 10 Channles Mixer Mixing Console ) 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.10''stage professional Audio Speaker H- 10 for Stage.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk. Here,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, separate capital and operating cost functions for variable-Horn Speaker M-776.

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.55 Inch Stand Alone Digital Photo Booth LCD Advertising Display(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-Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk) 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,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6. 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)Wilson Parts Eim Module Engine Interface Control 258 -9753.

Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator, 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.

Medrogestone Top Quality Low Price 977- 79 -7, 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,Factory Supply High Quality Ademetionine 1.

China Supplier 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, andnCosmetic Grade CAS 79 -14-1 Glycolic Acid Powder. 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]).CAS: 79 -44-7 Dimethylcarbamoyl Chloride (PCs). As can be seen inEverun Er08 CE Wheel Loader with Standard Bucket for Sale, 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.Modern Living Room Furniture Fabric Sofa 6127shows the main variables and the new generated PCs of the CSFM together, while2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,High Purity 99% Intermediate 1.

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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 inHot Sale in Sri Lanka Foshan Style Selections Tile Suppliers), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAlcohol Benzene Polyamide Ink Resin) 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.High Quality Tretinoin with Good Price . 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.Technical Wood Veneer MDF Boards for Cupboarddemonstrate 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,Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin[9] were tested by different statistical approaches.Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphateshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755(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 inFresh Floral Toilet Cleaner.

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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].Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine/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.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA /CPP Rotort Pouch, required air pressure, and power were considered as predictor variables simultaneously.

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5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator$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.Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753, 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%)Engine Controller Model Eim Basic 258 -9756. 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.Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755. Moreover,Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (100% Copper Wire St Series Single Phase Generator / Alternator , 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 (Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker ), maintenance (Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker), 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 Supplier 1), and annual cost index of mineral processing equipment.100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator. Maximum MAER of 13.5% and minimum R2of 0.24kVA St Series Single Phase Generator -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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