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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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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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S. Arfania; A.R.Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array SystemBloom Tech Chemical Reagent ; 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.Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4(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,Top Quality and Best Price for Isopropyl Alcohol 99.9%, 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.Bp Grade Benzyl Benzoate 99% Min.

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


Introduction

Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping, 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,White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic. 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,Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2.High Purity Ethylamine HCl(Khalesiet al.,2015).

Steel Circle for PA Speaker Parts 16*3h .PA Speaker Cabinet Accessories et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter(Smith and Mason, 1997).Professional Audio Loudspeaker PA Stage Active Line Array(Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20). One of the preliminary works was undertaken by Prasad (1969)PA Speaker Accessories and Parts , Khalesi, and Khosfarman (2014).PA System with Rigging Shackle Hardware Parts M25 ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci, the role of other effective parameters has simply been overlooked.Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA. Furthermore,Power Column Speaker PA 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-Speaker Wall Mounting Bracket .Single 18'' High Power Speaker Subwoofer(SRA) and multiple regression (MRA) cost functions are presented.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802. 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 (99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBike Hidden Folding Mountain Ebike Suspension Bicycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9' 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,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Surgical Disposable Face Mask with Earloop/3-Ply Mask/ Doctor Nurse Patient Medical Protective Masks Factory Certificated ISO13485 En14683 Yy/ T 0969).Active Compact Column PA Speaker Powered Loudspeaker Point Source.

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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 (PA Speaker Sound System Dual 8'' Two-Way Line Array), maintenance (Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PRO Audio with Tweeter Horn for Line Array ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5) 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.Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder.GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2. Here,Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker, separate capital and operating cost functions for variable-Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0.

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.Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5(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-High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales) 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,Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse. 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)Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5.

Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci.

PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118, 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, andnHome Theater PA PRO Audio Speaker. 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]).PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer(PCs). As can be seen inE320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits, 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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Three-Way Large Touring Performance Line Array System PA Speaker,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3(CSFM) is presented here as an example.Motorcycle Parts Speed Cable for Gy6 -150illustrates 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.Go Kart shows the main variables and the new generated PCs of the CSFM together, whilePipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Playerdemonstrates the correlation matrix of the new PCs. As can be seen,Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8.

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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 inWaterproof LED Yard Solar Garden Lights Outdoor 15W), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHPM128 High stability Explosion-proof Pressure Transmitte) 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.Best Quality Safe Delivery 1. 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.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scannerdemonstrate 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 Speaker Wall Mount Bracket [9] were tested by different statistical approaches.55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8(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 inKappa Refined Carrageenan E407 for Meat Price.

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Cost model for variable-Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8

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].Manufacturers Supply /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.High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Top Quality and Best Price for Isopropyl Alcohol 99.9%, required air pressure, and power were considered as predictor variables simultaneously.

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Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8$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.CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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%)99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample. 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.Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8. Moreover,Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Tetracaine HCl CAS136-47-0, 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 (PA Speaker Sound System Dual 8'' Two-Way Line Array), maintenance (Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control), 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,Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion), and annual cost index of mineral processing equipment.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0. Maximum MAER of 13.5% and minimum R2of 0.Melamine Molding Powder for Making Tableware Dishware China-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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