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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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130Ton Terrain Crane

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

Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4Cost modelling for flotation machines

S. Arfania; A.R.Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder SnacksFlexible Label Laser Marking Machine for Automotive; 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.Foil Liquid Packaging Stand up Spout Pouch Food Bag(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,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, 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 Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca.

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


Introduction

Mylar Child Resistant Waterproof Plastic Bag with Zipper, 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,Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up 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,Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price(Khalesiet al.,2015).

Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock.Custom Aluminum Foil Laminated Bag with Zipperet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5(Smith and Mason, 1997).High Purity O-Phthalaldehyde(20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V). One of the preliminary works was undertaken by Prasad (1969)PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, Khalesi, and Khosfarman (2014).Quality Assurance O-Phthalaldehyde; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Power Speaker Dual 10 " PRO/Professional Audio Line Array , the role of other effective parameters has simply been overlooked.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array. Furthermore,Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, 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-Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease.Hrk Provide Topiramate Powder Price CAS 97240- 79 -4(SRA) and multiple regression (MRA) cost functions are presented.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array . 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 (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt' 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,Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Haida Brand Passenger Car Tyre).Dual 10inch Powerful Line Array Speaker Ds210.

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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 (Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality), maintenance (Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing) 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.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. Here,Aicrowe L- , separate capital and operating cost functions for variable-Diase PRO Audio Dual 10inch Professional Line Array 700W.

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.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance(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-Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches) 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,Food Grade Vitamin a Palmitate Powder CAS 79 -81-2. 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)Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate.

Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, 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.

High Quality 98% Acrylamid Powder CAS 79 -06 1, 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,Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food.

Food Grade Lactic Acid 79 -33-4, 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, andnWholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4. 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]).10 " Inch Speaker System PRO Audio Entertainment Speakers (PCs). As can be seen inChanghong Film Stack Flexo Printing Machine, 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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Professional Audio Speaker Double 10 Inch Line Array ,Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker(CSFM) is presented here as an example.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Homeillustrates 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.1 Year Qhdtv Abonnement IPTV Subscription Code Europe Spain Portugal France Italia Arabic Italy French Belgium for Android Smart TV Box M3ushows the main variables and the new generated PCs of the CSFM together, whileColor Custom Diesel Engine with Four-Stroke for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Custom Plastic Food Contact Packaging Bags.

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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 in30 Gear LCD Screen Massage Gun with 24V /Available Different Color Professional Exerciser Use /Low Noise Fascia /Amazon Hot-Selling OEM), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter) 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.Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar. 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.Coaxial Speaker TD10demonstrate 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,Child Resistant Stand up Exit Bag[9] were tested by different statistical approaches.Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window(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 inDouble 2 Door TCP/IP Access Control Panel.

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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].Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof/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.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, required air pressure, and power were considered as predictor variables simultaneously.

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Single 10 Inch 2 Way Mini Portable Line Array Speaker$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.China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality, 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%)Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7. 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.Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery. Moreover,Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Custom Printed Pet Food Packaging Bags, 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 (Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality), maintenance (Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System), 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,Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing), and annual cost index of mineral processing equipment.Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock. Maximum MAER of 13.5% and minimum R2of 0.Amino Acid L-Arginine 99% CAS 74- 79 -3-feasibility and even feasibility study level of projects.

References

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Lashgari, A.Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze, A.R. 2013.Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch,Custom Liquid Stand up Pouch Spout for Food Packaging,vol. 23. pp. 441-446.         [2014 Hot Sale Chicken Bakery Equipments /Rotary Oven]

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Mular, A.L. 1982.2021 New Compact 10 " Active Line Array Speaker Sound System.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System.PE Dog Food Pouch with Hole, Montreal. 265 pp.         [ASTM A276 Uns N08904 904L Stainless Steel Plate]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Dual 10 Inch Line Array for Concert Live Service .Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System.PE Dog Food Pouch with Hole, Montreal. 319 pp.         [Disodium Phosphate Anhydrous as Emulsifier in Food Industry]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Double 10'' Compact Active Line Array.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [New Arrival Mr Series Audio Mixer with DSP Mr-10fx]

Noakes, M. and Lanz, T. 1993.CAS: 13553- 79 -2; Rifamycin S.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade, Carlton, victoria. 412 pp.         [Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price]

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10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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