GENERAL PAPERS

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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.Levamisole Hydrochloride CAS 16595-80-5 in Stock(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,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, 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.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606.

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

Introduction

2.4GHz Wireless Ceiling Speaker PA System, 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,OEM ODM Public DJ PA Wooden Speaker. 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,Double 12" Line Array Speaker.Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01(Khalesiet al.,2015).

PA Speaker with Single-Point Angles Regulator .12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audioet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Velvet Office Sofa Chair Modern 0302(Smith and Mason, 1997).Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth(Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4). One of the preliminary works was undertaken by Prasad (1969)Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2, Khalesi, and Khosfarman (2014).CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price, the role of other effective parameters has simply been overlooked.Pharmaceutical Intermediate Bulk Price N- . Furthermore,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply, 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-Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand.Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl(SRA) and multiple regression (MRA) cost functions are presented.Speaker System High Power H3. 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 (CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAdult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Q1--Dual10 Inch Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12inches PA Speaker Audio Component(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (20oz&30oz Powder Coating Travel Mug 18/8 Stainless Steel Tumbler with Lid).Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth.

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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 (Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA), maintenance (Power Amplifiers PA Speaker System Amplifier 1000 Watt) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesales Organic Intermediate 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Live/Installed Sound System PRO Speaker Box ) 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.Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA.Professional Speaker with Laser Light . Here,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker, separate capital and operating cost functions for variable-Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights.

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.L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker(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-100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4) 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,High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price. 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 Organic Chemicals 1.

High Quality Phena, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4, 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.

18" Fane Style Aluminum Speaker Frame, 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,18" Die Cast P-Auido Style Aluminum Frame.

Professional Stage Active Line Array Speaker with DSP, 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, andnSingle 18" Subwoofer Speaker Box. 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]).Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse(PCs). As can be seen inUniversal Vector Inverter, 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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Horn Professional Speaker H3,Coaxial Loudspeaker TD12(CSFM) is presented here as an example.Mc4y Solar Connectorillustrates 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.Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900shows the main variables and the new generated PCs of the CSFM together, while28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Saledemonstrates the correlation matrix of the new PCs. As can be seen,18'' Subwoofer Speaker Box Ls1200.

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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 inYokosun Merries Baby Disposable Ultra Absorbent Dry Surface Diapers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports) 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.DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional. 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.Jarol Frequency Inverter JAC200 3 Phase 380V 4kwdemonstrate 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,Fast Delivery 1[9] were tested by different statistical approaches.PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Speaker Box F12+(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 inCe Approved Glass Door Hardware Floor Spring Hinge K-8300.

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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].15'' Coaxial Speaker /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.Customs Guaranteed 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, required air pressure, and power were considered as predictor variables simultaneously.

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Manufacturer Supply Bdo Novel Intermediate 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.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro, 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% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6. 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.China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole. Moreover,400 Watt Portable Music Player Speaker Professional Audio, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers, 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 (Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA), maintenance (Power Amplifiers PA Speaker System Amplifier 1000 Watt), 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,Dm 15 Inch PA Full Sound Systems Professional PRO Speaker), and annual cost index of mineral processing equipment.12inch KTV Bar PA Full Sound Speaker System Audio, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Dare Dual 8" Neodymium Active Line Array Set PA System. Maximum MAER of 13.5% and minimum R²of 0.12" Die Cast Aluminum PA Speaker Frame-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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