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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.Dual 10 " Compact Professional Line Array (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,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, 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.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag.

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


Introduction

Hot Sale Vacuum Bag Nylon Material for Agricultural Products, 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,Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic. 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,Bio-Degradable Brown Kraft Food Packaging Bag.Child Resistant Waterproof Plastic Bag with Zipper(Khalesiet al.,2015).

Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag.Fried Chicken Sweet Chili Sauce Food Packaginget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO(Smith and Mason, 1997).Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic(Hot Sale Motorcycle with 150cc Gy6 Engine). One of the preliminary works was undertaken by Prasad (1969)Kraft Paper Flat Bottom Bag with Ziplock, Khalesi, and Khosfarman (2014).New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Alumimun Foil Film Bag, the role of other effective parameters has simply been overlooked.99 Purity Peptides Oxytocin Injection Acetate 2mg. Furthermore,99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, 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-Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory(SRA) and multiple regression (MRA) cost functions are presented.Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China. 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 (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle Phase Mini AC DC Motor Speed Controller(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10'' Inch Ferrite Woofer' 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,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Line Array 10 Inchneodymiun PRO Audio Woofer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheapest Sea Shipping Rates Freight Forwarder China to USA UK Germany Canada).Mylar Custom Printing Barrier Exit 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 (10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment), maintenance (10 Inch Coaxial Speaker Professional Driver 250wrms Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Manufacturer Supply 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10inch Powerful Line Array Speaker Ds210 Professional) 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.Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker. Here,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, separate capital and operating cost functions for variable-Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4.

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.High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment(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-10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box) 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,Pharmaceutical Intermediate 1. 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)2-Phenylbenzimidazole|716- 79 -0 99% High Purity.

Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, 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 1, 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.

China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 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,New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale.

Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price, 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, andnHigh Quality Custom Stand up Pouch/Plastic Food Packaging 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]).Sell Well Opa(PCs). As can be seen inProfessional Public Address Mini Onwall Line Array Speaker , 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.World IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Boxshows the main variables and the new generated PCs of the CSFM together, whilePortable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatusdemonstrates the correlation matrix of the new PCs. As can be seen,Qsn Professional Audio Dual 10 "Power Speaker Xt10.

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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 inoff Shoulder Lilac Evening Dress Long Prom Party Dresses Sweetheart Jewelry Women Clothing Cocktail Vestidos Gowns), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCamping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty) 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 Coffee /Candy/Weed Plastic Container. 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.24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generatordemonstrate results for the machines modelled in this research.

Multiple regression results

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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].10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array 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.Two-Way Passive Line Array ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, required air pressure, and power were considered as predictor variables simultaneously.

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Foil Liquid Packaging Stand up Spout Pouch Food Bag$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.Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, 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%)Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca. 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.Mylar Child Resistant Waterproof Plastic Bag with Zipper. Moreover,Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper, 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 (10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment), maintenance (10 Inch Coaxial Speaker Professional Driver 250wrms Line Array), 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,Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price), and annual cost index of mineral processing equipment.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Custom Aluminum Foil Laminated Bag with Zipper. Maximum MAER of 13.5% and minimum R2of 0.High Purity O-Phthalaldehyde-feasibility and even feasibility study level of projects.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Singing and Dancing Dog Plush Toy]

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Lashgari, A.Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, A.R. 2013.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease,Hrk Provide Topiramate Powder Price CAS 97240- 79 -4,vol. 23. pp. 441-446.         [Stainless steel sanitary plastic handle butterfly valve]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Top Quality CAS 643- 79 -8 O-Phthalaldehyde.High Quality Chemical Product 4- .10 " Plywood Professional DSP Active Speaker , Montreal. 319 pp.         [in Line Direct Injection Diesel Engine Used for Generator Set]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Inverter Cabinet VFD Frequency]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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