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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.High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment(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,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box, 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.Pharmaceutical Intermediate 1.

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


Introduction

2-Phenylbenzimidazole|716- 79 -0 99% High Purity, 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,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3. 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,High Quality 1.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3(Khalesiet al.,2015).

New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150(Smith and Mason, 1997).High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper(Df B&C Trees Speaker Subwoofer Audio Professional). One of the preliminary works was undertaken by Prasad (1969)Sell Well Opa, Khalesi, and Khosfarman (2014).Best Price O-Phthalaldehyde; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price, the role of other effective parameters has simply been overlooked.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide. Furthermore,Qsn Professional Audio Dual 10 "Power Speaker Xt10, 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-Hot Selling Powder Thiabendazole CAS 148- 79 -8.High Quality Coffee /Candy/Weed Plastic Container(SRA) and multiple regression (MRA) cost functions are presented.Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio. 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 (Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210' 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,Foil Liquid Packaging Stand up Spout Pouch Food Bag

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eye Shield Single Use Ophthalmic).Mylar Child Resistant Waterproof Plastic Bag with Zipper.

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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 (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag), maintenance (Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Custom Aluminum Foil Laminated Bag with Zipper) 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 Purity O-Phthalaldehyde.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker. Here,Quality Assurance O-Phthalaldehyde, separate capital and operating cost functions for variable-High Power Speaker Dual 10 " PRO/Professional Audio Line Array .

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.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array(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-Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System) 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,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease. 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)Hrk Provide Topiramate Powder Price CAS 97240- 79 -4.

Speaker 2way Double 10inch Full Range High Power Neodymium Speakers 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 (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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.

Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt, 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,China Hot Sale Professional Speaker Dual 10 Inch Line Array.

10 " Plywood Professional DSP Active Speaker , 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, andnTop Quality CAS 643- 79 -8 O-Phthalaldehyde. 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]).High Quality Chemical Product 4- (PCs). As can be seen inBathroom Acrylic Alone Common Bathtub with Two Side Apron , 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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Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome,Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder(CSFM) is presented here as an example.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806illustrates 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.Line Array with Accessories for PRO Audio shows the main variables and the new generated PCs of the CSFM together, whileRosen 9kw Grid Tied on Solar System to Global Marketdemonstrates the correlation matrix of the new PCs. As can be seen,Dual 10inch Powerful Line Array Speaker Ds210.

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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 inCustom Design Valentines Day Emblem Lapel Pin Badge Metal Girl Power Couple Enamel Pins for Souvenir), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4) 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.Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System. 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.20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520Vdemonstrate 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,Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W[9] were tested by different statistical approaches.Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtimeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery(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 inCar Wheel Alignment Balance Machine.

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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].New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210/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.10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box, required air pressure, and power were considered as predictor variables simultaneously.

Aicrowe L- . Moreover, the operating cost was detailed in different cost items.Diase PRO Audio Dual 10inch Professional Line Array 700W, indicated inCAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, and major extrapolation should be avoided.

PS10 High Power 10 Inch Monitor PA Speaker for Live Performance$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.Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches, 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%)Food Grade Vitamin a Palmitate Powder CAS 79 -81-2. 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.Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate. Moreover,Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, 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 (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag), maintenance (Mylar Custom Printed Plastic Weed Bag Stand up Pouch 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,High Quality 98% Acrylamid Powder CAS 79 -06 1), and annual cost index of mineral processing equipment.Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Food Grade Lactic Acid 79 -33-4. Maximum MAER of 13.5% and minimum R2of 0.Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4-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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