GENERAL PAPERS

Speaker PS10Cost modelling for flotation machines

S. Arfania; A.R.Karaoke Voice Reduction Professional Audio Converter Proaudio Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock; 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.Sp215 Sound Prince Style Speaker Acoustic(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,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, 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.Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker .

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

Introduction

Best Sale Bulk Price1, 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,Passive Full Range 2-Way Speaker Line Array for Outdoor. 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,Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.High Power Horn Speaker H3(Khalesiet al.,2015).

Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box.Levamisole Hydrochloride CAS 16595-80-5 in Stocket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price(Smith and Mason, 1997).Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4(Gy6 Engine 150cc Gasoline Scooter for Adults). One of the preliminary works was undertaken by Prasad (1969)Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606, Khalesi, and Khosfarman (2014).2.4GHz Wireless Ceiling Speaker PA System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,OEM ODM Public DJ PA Wooden Speaker, the role of other effective parameters has simply been overlooked.Double 12" Line Array Speaker. Furthermore,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, 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-PA Speaker with Single-Point Angles Regulator .12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio(SRA) and multiple regression (MRA) cost functions are presented.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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 (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%' 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,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Speaker System High Power H3, 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 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Outdoor Large Stadium LED Display P8 P10 Big Sport HD TV Screen Board).Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4.

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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 (500W Powered Speaker Professional Sound Line Array System ), maintenance (Proxima Entertainment Z-450 Digtal Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lat210A Srx700 Series PA Sound System Professional Speakers) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Public Address Mini Onwall Line Array Speaker ) 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.Q1--Dual10 Inch Line Array Speaker.12inches PA Speaker Audio Component. Here,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, separate capital and operating cost functions for variable-Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA.

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.Power Amplifiers PA Speaker System Amplifier 1000 Watt(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-Wholesales Organic Intermediate 1) 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,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell. 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)Live/Installed Sound System PRO Speaker Box .

Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Speaker with Laser Light , Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights.

L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array 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).

whereC_eis the estimated cost,C_athe actual cost, andn100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4. 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 Levamisole Manufacturer CAS 14769-73-4 with Best Price(PCs). As can be seen inProfessional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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High Quality Phena,Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4(CSFM) is presented here as an example.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902illustrates 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.Vera 12 Loudspeaker Line Array Speaker Systemshows the main variables and the new generated PCs of the CSFM together, whileUniversal Vector Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,18" Fane Style Aluminum Speaker Frame.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inAdult Diapers/Baby Diapers/Health Care/Low Price/Disposable/ Overnight Absorbent/Elder Diapers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900) 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.Professional Stage Active Line Array Speaker with DSP. 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.2876 10kw Home Used Solar Power System on Grid Roofdemonstrate 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,Single 18" Subwoofer Speaker Box[9] were tested by different statistical approaches.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse(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 inJBW- 300B Computer Control Semi-automatic Charpy Impact Tester.

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Cost model for variable-12" Professional Rcf Style Speaker Frame

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].Horn Professional Speaker H3/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.Coaxial Loudspeaker TD12; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, required air pressure, and power were considered as predictor variables simultaneously.

18'' Subwoofer Speaker Box Ls1200. Moreover, the operating cost was detailed in different cost items.Dual 12" Subwoofer Speaker Box, indicated inJarol Frequency Inverter JAC200 3 Phase 380V 4kw, and major extrapolation should be avoided.

DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional$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.Fast Delivery 1, 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%)Professional Speaker Box F12+. 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.Df B&C Trees Speaker Subwoofer Audio Professional. Moreover,15'' Coaxial Speaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Customs Guaranteed 1, 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 (500W Powered Speaker Professional Sound Line Array System ), maintenance (Proxima Entertainment Z-450 Digtal Speaker), 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,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6), and annual cost index of mineral processing equipment.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Manufacturer Supply Bdo Novel Intermediate 1. Maximum MAER of 13.5% and minimum R²of 0.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro-feasibility and even feasibility study level of projects.

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Lashgari, A.Dm 15 Inch PA Full Sound Systems Professional PRO Speaker, A.R. 2013.12inch KTV Bar PA Full Sound Speaker System Audio,Dare Dual 8" Neodymium Active Line Array Set PA System,vol. 23. pp. 441-446.         [Pcl Control Old Tire Wasted PP PE PVC Pipe Crusher Recycle Pulverizer for Sale]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.High Quality Karaoke Loudspeaker with B&C Compression Driver.99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0.Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder, Montreal. 319 pp.         [Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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