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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

3kw Air-Cooled UHF Digital TV Transmitter DTVCost modelling for flotation machines

S. Arfania; A.R.Pharmaceutical Intermediate 1Plastic Raw Materials Black Masterbatch for PP PE Plastics; 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.2-Phenylbenzimidazole|716- 79 -0 99% High Purity(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,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, 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 1.

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


Introduction

China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 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,New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale. 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,Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price.High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper(Khalesiet al.,2015).

Sell Well Opa.Best Price O-Phthalaldehydeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty(Smith and Mason, 1997).Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price(Outdoor Show Audio Lt12 Passive Line Array Speaker System). One of the preliminary works was undertaken by Prasad (1969)Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, Khalesi, and Khosfarman (2014).Qsn Professional Audio Dual 10 "Power Speaker Xt10; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Selling Powder Thiabendazole CAS 148- 79 -8, the role of other effective parameters has simply been overlooked.High Quality Coffee /Candy/Weed Plastic Container. Furthermore,Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio, 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-Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210(SRA) and multiple regression (MRA) cost functions are presented.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System. 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 (Two-Way Passive Line Array , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker' 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,Mylar Child Resistant Waterproof Plastic Bag with Zipper

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Supply Magnesium Chloride Manufacturer Food Grade Flake Granular).Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable 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 (Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock), maintenance (Custom Aluminum Foil Laminated Bag with Zipper) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Purity O-Phthalaldehyde.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Quality Assurance O-Phthalaldehyde) 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.High Power Speaker Dual 10 " PRO/Professional Audio Line Array .10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array. Here,Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, separate capital and operating cost functions for variable-Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease.

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.Hrk Provide Topiramate Powder Price CAS 97240- 79 -4(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-Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array ) 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,China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers . 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)Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt.

China Hot Sale Professional Speaker Dual 10 Inch Line Array, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10 " Plywood Professional DSP Active Speaker , 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.

Top Quality CAS 643- 79 -8 O-Phthalaldehyde, 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,High Quality Chemical Product 4- .

Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System, 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, andnPublic Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome. 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]).Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder(PCs). As can be seen inDual 6" Coaxial Full Range Speaker for Entertainment Room, 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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Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System(CSFM) is presented here as an example.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrubillustrates 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.10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rimshows the main variables and the new generated PCs of the CSFM together, whilein Line Direct Injection Diesel Engine Used for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W.

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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 inPortable Ratchet Manual Wire Rope Tirfor Puller), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV) 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.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing. 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.Jwell Plastic PVC Foamed Frame Profile Extrusion Machinedemonstrate 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,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210[9] were tested by different statistical approaches.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersibleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer(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 inBlind Threaded Standoffs - Types Bso.

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Cost model for variable-Aicrowe L-

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].Diase PRO Audio Dual 10inch Professional Line Array 700W/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.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, required air pressure, and power were considered as predictor variables simultaneously.

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Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate$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.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, 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%)10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with. 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.High Quality 98% Acrylamid Powder CAS 79 -06 1. Moreover,Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade Lactic Acid 79 -33-4, 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 (Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock), maintenance (Custom Aluminum Foil Laminated Bag with Zipper), 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,Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4), and annual cost index of mineral processing equipment.10 " Inch Speaker System PRO Audio Entertainment Speakers , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10 -50W 6.5 Inch PA Sound Ceiling Speaker. Maximum MAER of 13.5% and minimum R2of 0.Professional Audio Speaker Double 10 Inch Line Array -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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