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.Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6(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,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, 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.CAS No.: 67-63-0 Isopropyl Alcohol .

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

Introduction

PA Speaker Parts of T24 12 Inch , 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,PA Speaker with Horn Parts 210L*62W*105h 1"X2 . 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,PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol(Khalesiet al.,2015).

Food Grade L Selenomethionine Powder/L-Selenomethionine.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Micset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Super Design Mini Earpieces Headset Wireless Earphones for Huawei(Smith and Mason, 1997).Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA(Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price). One of the preliminary works was undertaken by Prasad (1969)Single 15 Inch PA Full Sound Systems Professional PRO Speaker, Khalesi, and Khosfarman (2014).Cheap Price PA Speaker of Line Array Rigging 8 Inch ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, the role of other effective parameters has simply been overlooked.PA Speaker Horn for Stage 180L*180W*106h 1" . Furthermore,6inch Bar PA Full Sound Speaker System Audio Muslims, 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-China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8(SRA) and multiple regression (MRA) cost functions are presented.Aluminium Back Plate for PA Speaker . 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 (Full Range Portable Multi-Fuction Speaker Box , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFood Grade Addictive Disodium Phosphate DSP(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fan-Shaped Best Ultra Thin Softcare Sanitary Pad for Overnight Use).Music PA Speaker Double 12 Inch Full Range.

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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 Column Speaker Empty Alu. Cabinet 4.5" ), maintenance (PRO Audio Speaker 12 Inch Sub PA Passive Speakers) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Speaker Steel Back Plate .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Line Array with Aluminum Rigging Parts for PA 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.Outdoor Big Power Karaoke Trolley Loud PA Speaker.20dB Gain DJ Mixing Console with MP3 Input . Here,PA System LED Light Trolley Tws Woofer Speaker Party Audio, separate capital and operating cost functions for variable-Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System.

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.50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(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 Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers) 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,K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets . 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)12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage.

Proxima Entertainment S-320 Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Karaoke Voice Reduction Professional Audio Converter Proaudio , 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.

Sp215 Sound Prince Style Speaker Acoustic, 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,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6.

Cheap 500W Professional Audio Speakers Dual 15 Inch 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, andnBest Sale Bulk Price1. 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]).Passive Full Range 2-Way Speaker Line Array for Outdoor(PCs). As can be seen in3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate, 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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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.1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Driveshows the main variables and the new generated PCs of the CSFM together, whileSolar Pump Inverter 1.5kw AC Drive Frequency Welding Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Levamisole Hydrochloride CAS 16595-80-5 in Stock.

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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 in600d* 300d 100% Polyester Oxford Fabric Waterproof PVC Coated), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from2ND Generation Ultrasound Bone Densitometer) 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.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606. 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.4000W/5000W off Grid Tied Solar Power Systemdemonstrate 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,2.4GHz Wireless Ceiling Speaker PA System[9] were tested by different statistical approaches.Tetracaine HCl CAS136-47-0shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.OEM ODM Public DJ PA Wooden Speaker(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 in30-35m IR Vandal Resist & Waterproof Armor Dome Security Camera.

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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].Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01/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.PA Speaker with Single-Point Angles Regulator ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, required air pressure, and power were considered as predictor variables simultaneously.

12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio. Moreover, the operating cost was detailed in different cost items.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, indicated inAdult Electric Motorcycle with Lithium Battery China, and major extrapolation should be avoided.

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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 Intermediate Bulk Price N- . Moreover,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, 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 Column Speaker Empty Alu. Cabinet 4.5" ), maintenance (PRO Audio Speaker 12 Inch Sub PA Passive Speakers), 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,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl), and annual cost index of mineral processing equipment.Speaker System High Power H3, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical. Maximum MAER of 13.5% and minimum R²of 0.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4-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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