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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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Powerful PRO Audio 2 Way Full Range DSP Powered Line Array SpeakerCost modelling for flotation machines

S. Arfania; A.R.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters; 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.D&B Style Dual 10 " Professional Speaker 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,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, 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.Line Array 10 Inchneodymiun PRO Audio Woofer.

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


Introduction

Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice, 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,Mylar Custom Printing Barrier Exit 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,10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.10 Inch Coaxial Speaker Professional Driver 250wrms Line Array(Khalesiet al.,2015).

Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker.Manufacturer Supply 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorbicycle for Well Done Accessories(Smith and Mason, 1997).Dual 10inch Powerful Line Array Speaker Ds210 Professional(Endless Pool). One of the preliminary works was undertaken by Prasad (1969)Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, Khalesi, and Khosfarman (2014).Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, the role of other effective parameters has simply been overlooked.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4. Furthermore,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment, 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-10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box.Pharmaceutical Intermediate 1(SRA) and multiple regression (MRA) cost functions are presented.2-Phenylbenzimidazole|716- 79 -0 99% High Purity. 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 (Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Line Array System Dual 10 Inch 3 Way Passive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality 1' 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,Sell Well Opa

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Best Price O-Phthalaldehyde, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Traveling Bottle Bag Travel Cooler).Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide.

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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 (Qsn Professional Audio Dual 10 "Power Speaker Xt10), maintenance (Hot Selling Powder Thiabendazole CAS 148- 79 -8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Coffee /Candy/Weed Plastic Container.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit) 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.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System. Here,Two-Way Passive Line Array , separate capital and operating cost functions for variable-High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker.

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.Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks(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-Foil Liquid Packaging Stand up Spout Pouch Food Bag) 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,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant. 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)Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca.

Mylar Child Resistant Waterproof Plastic Bag with Zipper, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, 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.

Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper, 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,Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price.

Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock, 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, andnCustom Aluminum Foil Laminated 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]).High Purity O-Phthalaldehyde(PCs). As can be seen inClosed Motorized China Cargo Tricycle with Box , 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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Quality Assurance O-Phthalaldehyde,High Power Speaker Dual 10 " PRO/Professional Audio Line Array (CSFM) is presented here as an example.High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucketillustrates 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.LDPE Plastic Pellet 30% Black Pigment Color Masterbatchshows the main variables and the new generated PCs of the CSFM together, whileDf B&C Trees Speaker Subwoofer Audio Professionaldemonstrates the correlation matrix of the new PCs. As can be seen,10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array.

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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 inBlue and White Non Woven Fabric Surgical Mask for Medical Use Hospital Ear Loop with Bfe99 Melt-Blown), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBathroom Acrylic Alone Common Bathtub with Two Side Apron ) 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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease. 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.Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806demonstrate 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,Hrk Provide Topiramate Powder Price CAS 97240- 79 -4[9] were tested by different statistical approaches.Line Array with Accessories for PRO Audio shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array (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 inOEM Wholesale Medical Supplies/ Custom Incontinence Products Disposable Night Time Protective Overnight Absorbent Adult Underwear Panty Pants Diapers Pull up.

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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].Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt/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.China Hot Sale Professional Speaker Dual 10 Inch Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Chemical Product 4- $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.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System, 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%)Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome. 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.Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder. Moreover,Dual 10inch Powerful Line Array Speaker Ds210, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality, 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 (Qsn Professional Audio Dual 10 "Power Speaker Xt10), maintenance (Hot Selling Powder Thiabendazole CAS 148- 79 -8), 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,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System), and annual cost index of mineral processing equipment.Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery. Maximum MAER of 13.5% and minimum R2of 0.Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing-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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