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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.Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer(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,Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar, 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.Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine.

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


Introduction

Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna, 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,Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine. 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,Factory Supply Glycyl-L-Tyrosine.Dl-Isoleucine Powder CAS 443- 79 -8(Khalesiet al.,2015).

Glycyl- L-Tyrosine; 658- 79 -7.L-Pyroglutamic Acidet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market(Smith and Mason, 1997).Dl-Isoleucine Powder CAS Number 443- 79 -8(Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags). One of the preliminary works was undertaken by Prasad (1969)98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts, Khalesi, and Khosfarman (2014).Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Purity 99.0%Min. Ademetionine Disulfate Tosylate , the role of other effective parameters has simply been overlooked.Centella Asiatica Extract 99% Asiaticoside 16830-15-2. Furthermore,Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic, 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 Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6.Polyethylene Green Color Masterbatch(SRA) and multiple regression (MRA) cost functions are presented.Pipe Bevelling Machine . 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 (ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorbike for 320cc with Police Cruiser Using Dry Weight 180kg(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Green Plastic Masterbatch Blowing Film Grade' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Act Best Seller CNG LPG Gas Car Emulator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CNG/LPG Rail Injector Type Gas 4 Cylinders(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Diaper stories for high-quality adult babies).Act MP 48 ECU Switch/Act 2568d Switch.

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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 (Fuel Gas Cylinder ECU 2568d Map Sensors), maintenance (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Pipe End Bevelling Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (T-Electric Pipe Bevelling Machine ) 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.Pneumatic Pipe Beveling Machine High Performence.Act CNG LPG Fuel System 2568cyl ECU Kits. Here,Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup, separate capital and operating cost functions for variable-Plastic Green Color Masterbatch.

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.4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System(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-3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail) 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,L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection 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)High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371.

Diesel Engine Parts Injection System Nozzle Dnopd619, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder, 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.

Diesel Engine Parts Fuel System Nozzle Dlla145pn574, 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,Master Batch Organic Colors.

Orange Color Masterbatch, 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, andnPlastic Purple Color Masterbatch. 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 Grey Color Masterbatch(PCs). As can be seen inGuitar / Bass Tuner , 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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Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid,Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality(CSFM) is presented here as an example.Ce Approved Medical Portable Bone Densitometer Ultrasound Machine 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.Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Lineshows the main variables and the new generated PCs of the CSFM together, whilePA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Usedemonstrates the correlation matrix of the new PCs. As can be seen,Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4.

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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 inManufacturers Custom Logo Printed Biodegradable Waterproof Tearproof OEM Postage Mail Envelopes), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLG LD490DUN-TJB2 LCD wall mount video with 2X2 panel) 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 Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery. 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.Material Handling Equipment Manual Hand Pallet Jackdemonstrate 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,Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7[9] were tested by different statistical approaches.O-Phthalaldehyde CAS 643- 79 -8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality(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 inStainless steel butterfly pneumatic valve with Contral cap.

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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].Best Price Bulk Powder Retinyl Palmitate 79 -81-2/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.Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar, required air pressure, and power were considered as predictor variables simultaneously.

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Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139$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.Diesel Engine Parts Fuel Injection Nozzle 152sn924, 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%)Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla156s820. Moreover,Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Diesel Engine Parts Fuel Injection Nozzle 150sn902, 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 (Fuel Gas Cylinder ECU 2568d Map Sensors), maintenance (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit), 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,Tws Sport Headset Stereo Headphone Earphone with Charging Box Black), and annual cost index of mineral processing equipment.3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12.Ce Certification Plastic Water Bottle Use Yellow Masterbatch.Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism, Montreal. 265 pp.         [Residential Grid Tied 6kw Solar Power System for Home]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Hot Selling PP PE Masterbatch Yellow.Professional Carbon Black Masterbatch Factory for Rubbish Bag.Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism, Montreal. 319 pp.         [ATV Scooter Motorcycle High Quality Parts]

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Prasad, L. 1969.Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567.Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Q1+Q Sub Sound & Light Installation High Performance in Concert Event]

Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container]

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USBM. 1987.PA12 Transparent Polyamide with Anti-UV Granules,PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [2021 Disposable Medical 3-Layer Surgical Mask for Prevent Bacteria Face Masks Manufacture]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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