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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

GENERAL PAPERS

Industry Saveing Box Cost modelling for flotation machines

S. Arfania; A.R.Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA SpeakerSingle Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz; 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.Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0(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,Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5, 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.High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales.

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


Introduction

Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, 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,Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5. 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,Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h .High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales(Khalesiet al.,2015).

New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ciet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag(Smith and Mason, 1997).PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118(2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1). One of the preliminary works was undertaken by Prasad (1969)Home Theater PA PRO Audio Speaker, Khalesi, and Khosfarman (2014).PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Audio Kara Line Array, the role of other effective parameters has simply been overlooked.Three-Way Large Touring Performance Line Array System PA Speaker. Furthermore,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3, 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-Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System(SRA) and multiple regression (MRA) cost functions are presented.Best Quality Safe Delivery 1. 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 (Cheap Price Speaker Wall Mount Bracket , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8' 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,Steel Wall Bracket for Speaker with Quick Release Pin

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Black Mailer Boxes Custom Printed Cardboard Sunglasses).99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample.

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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 (Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8), maintenance (Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Tetracaine HCl CAS136-47-0.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa) 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.Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0.Melamine Molding Powder for Making Tableware Dishware China. Here,Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, separate capital and operating cost functions for variable-8X4" Active Column PA 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.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl(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-Professional Speaker with Hanging Hardware Parts Horizontal ) 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,PA Power DJ Audio Speaker. 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)PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.

Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker, 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.

Double 12" 3-Way Line Array PA Speaker, 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,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20.

PA Speaker Parts&Accessories Back Plate Speakon Nl4 , 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, andnProfessional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da. 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]).15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker(PCs). As can be seen inNew Tw Audio Vera36 Dual 10 " Line Array Speaker System, 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.Frequency China Vector Control AC Drive Power Supply Inverter Solar Convertershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weightdemonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker Parts of T24 12 Inch .

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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 inInsecticide Preparation), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromZhejiang Province Acrylic Standing Alone Bathtubs) 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.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array. 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.Highly Effective Deltamethrin demonstrate 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol[9] were tested by different statistical approaches.High Quality 18mm Carb Birch Okoumen Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Food Grade L Selenomethionine Powder/L-Selenomethionine(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 inCustomize Plastic Miniatures for Board Games.

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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].Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA/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.Single 15 Inch PA Full Sound Systems Professional PRO Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5, required air pressure, and power were considered as predictor variables simultaneously.

Cheap Price PA Speaker of Line Array Rigging 8 Inch . Moreover, the operating cost was detailed in different cost items.Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, indicated inHigh Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device, and major extrapolation should be avoided.

PA Speaker Horn for Stage 180L*180W*106h 1" $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 0.6inch Bar PA Full Sound Speaker System Audio Muslims, 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%)China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8. 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.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8. Moreover,Aluminium Back Plate for PA Speaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Full Range Portable Multi-Fuction Speaker Box , 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 (Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8), maintenance (Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8), 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,Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance), and annual cost index of mineral processing equipment.Lidocaine Hydrochloride CAS 73-78-9 HCl, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,PA Speaker Parts . Maximum MAER of 13.5% and minimum R2of 0.Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801-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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