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.Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h (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,High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, 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.New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi.

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

Introduction

New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci, 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 System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118. 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,Home Theater PA PRO Audio Speaker.PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer(Khalesiet al.,2015).

Professional Audio Kara Line Array.Three-Way Large Touring Performance Line Array System PA Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage(Smith and Mason, 1997).Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3(Factory Price Fully Automatic Dustbin Injection Molding Machine). One of the preliminary works was undertaken by Prasad (1969)Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8, Khalesi, and Khosfarman (2014).Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Best Quality Safe Delivery 1, the role of other effective parameters has simply been overlooked.Cheap Price Speaker Wall Mount Bracket . Furthermore,Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8, 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-Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8.Manufacturers Supply (SRA) and multiple regression (MRA) cost functions are presented.High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride. 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 (High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Steel Wall Bracket for Speaker with Quick Release Pin ' 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,Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Tetracaine HCl CAS136-47-0, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30LEDs Pink Light SMD5050 Waterproof LED Strip).CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

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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 (Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0), maintenance (Melamine Molding Powder for Making Tableware Dishware China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (8X4" Active Column PA Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl) 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.Professional Speaker with Hanging Hardware Parts Horizontal .PA Power DJ Audio Speaker. Here,PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker, separate capital and operating cost functions for variable-Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7.

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.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(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-Double 12" 3-Way Line Array PA Speaker) 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,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20. 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 Speaker Parts&Accessories Back Plate Speakon Nl4 .

Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker, 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.

Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6, 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,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260.

CAS No.: 67-63-0 Isopropyl Alcohol , 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, andnPA Speaker Parts of T24 12 Inch . 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 with Horn Parts 210L*62W*105h 1"X2 (PCs). As can be seen inJarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz, 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.Professional Speaker System Single 15 Inch High Power Line Array Aw15shows the main variables and the new generated PCs of the CSFM together, whilePneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Codingdemonstrates the correlation matrix of the new PCs. As can be seen,120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.

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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 inSlim and Classic Metal Case 4K UHD 42" LED TV with Android System Can Play Youtube Netflix), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver) 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.Single 15 Inch PA Full Sound Systems Professional PRO Speaker. 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.Professional Sound System 10'' PRO Neodymium Line Array PA Audio System.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,Cheap Price PA Speaker of Line Array Rigging 8 Inch [9] were tested by different statistical approaches.Safe Shipping with Good Price Tretinoin Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729(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 inPolyester Multiple Computer Laptop Backpack Bag.

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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].6inch Bar PA Full Sound Speaker System Audio Muslims/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.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, required air pressure, and power were considered as predictor variables simultaneously.

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Full Range Portable Multi-Fuction Speaker Box $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.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance, 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%)Lidocaine Hydrochloride CAS 73-78-9 HCl. 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.PA Speaker Parts . Moreover,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801, 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 (Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0), maintenance (Melamine Molding Powder for Making Tableware Dishware China), 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,Line Array PA Speaker System Stage 12inch Monitor PRO Audio), and annual cost index of mineral processing equipment.Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731. Maximum MAER of 13.5% and minimum R²of 0.Music PA Speaker Double 12 Inch Full Range-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers.K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , Montreal. 265 pp.         [Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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