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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

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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.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder(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,10'' Inch Ferrite Woofer, 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.High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production.

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


Introduction

10'' Ferrite Woofer, 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,Professional Stage Line Array System Dual 10 Inch DSP Active Speaker . 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,D&B Style Dual 10 " Professional Speaker Line Array .UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds(Khalesiet al.,2015).

Line Array 10 Inchneodymiun PRO Audio Woofer.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Riceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Embossed PC Solid Sheet Extruder Machine Making Extrusion Line(Smith and Mason, 1997).Mylar Custom Printing Barrier Exit Bag(Active Mini Line Array Speaker with DSP Amplifier Module). One of the preliminary works was undertaken by Prasad (1969)10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment, Khalesi, and Khosfarman (2014).10 Inch Coaxial Speaker Professional Driver 250wrms Line Array; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, the role of other effective parameters has simply been overlooked.Manufacturer Supply 1. Furthermore,Dual 10inch Powerful Line Array Speaker Ds210 Professional, 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-Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker(SRA) and multiple regression (MRA) cost functions are presented.Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794. 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 (Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCamping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment' 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,High Quality 1

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Impact Crusher Machine Machine).Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price.

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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 Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper), maintenance (Sell Well Opa) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Price O-Phthalaldehyde.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide) 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.Qsn Professional Audio Dual 10 "Power Speaker Xt10.Hot Selling Powder Thiabendazole CAS 148- 79 -8. Here,High Quality Coffee /Candy/Weed Plastic Container, separate capital and operating cost functions for variable-Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio.

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.Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit(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-Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210) 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,10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System. 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)Two-Way Passive Line Array .

High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, 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.

Foil Liquid Packaging Stand up Spout Pouch Food Bag, 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,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant.

Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca, 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, andnMylar Child Resistant Waterproof Plastic Bag with Zipper. 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]).Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag(PCs). As can be seen in24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator, 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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Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price,Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock(CSFM) is presented here as an example.High Quality Nickel Alloy Monel 400 illustrates 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.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audioshows the main variables and the new generated PCs of the CSFM together, whileEconomic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Headdemonstrates the correlation matrix of the new PCs. As can be seen,Custom Aluminum Foil Laminated Bag with Zipper.

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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 inCustomize 10X10 FT Foldable Pop up Canopy Tent for Outdoor Promotion), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic Raw Materials Black Masterbatch for PP PE Plastics) 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.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker. 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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anesthetidemonstrate 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,Quality Assurance O-Phthalaldehyde[9] were tested by different statistical approaches.Farm Equipment 800kg Small Loader Payloader for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Power Speaker Dual 10 " PRO/Professional Audio Line Array (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 inHigh Absorption Disposable Adult Diapers 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].Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System/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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10'' Inch Ferrite Woofer, required air pressure, and power were considered as predictor variables simultaneously.

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China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers $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.Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt, 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%)China Hot Sale Professional Speaker Dual 10 Inch Line Array. 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.10 " Plywood Professional DSP Active Speaker . Moreover,Top Quality CAS 643- 79 -8 O-Phthalaldehyde, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Chemical Product 4- , 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 Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper), maintenance (Sell Well Opa), 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,Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System), and annual cost index of mineral processing equipment.Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder. Maximum MAER of 13.5% and minimum R2of 0.Dual 10inch Powerful Line Array Speaker Ds210-feasibility and even feasibility study level of projects.

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Lashgari, A.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, A.R. 2013.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210,10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer,vol. 23. pp. 441-446.         [Floating Crawler with Sonar for Video Inspection of Drainage]

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Mular, A.L. 1982.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance.Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches.Food Grade Vitamin a Palmitate Powder CAS 79 -81-2, Montreal. 265 pp.         [Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader]

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USBM. 1987.Custom Plastic Food Contact Packaging Bags,Dual 10 Inch 600W High-End Stage Line Array PRO Audio-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [UVC LED Disinfection Soft Strip Light Waterproof Ultraviolet UV Sterilization Germicidal Lamps Model-B]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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