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.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5(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,Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , 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.High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales.

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

Introduction

New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi, 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,New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci. 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 System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118.Home Theater PA PRO Audio Speaker(Khalesiet al.,2015).

PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer.Professional Audio Kara Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle 150s355A(Smith and Mason, 1997).Three-Way Large Touring Performance Line Array System PA Speaker(10 Active Full Range Stage Sound Loud Speaker System Audio). One of the preliminary works was undertaken by Prasad (1969)Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3, Khalesi, and Khosfarman (2014).Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System, the role of other effective parameters has simply been overlooked.Best Quality Safe Delivery 1. Furthermore,Cheap Price Speaker Wall Mount Bracket , 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-Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8.Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8(SRA) and multiple regression (MRA) cost functions are presented.Manufacturers Supply . 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 Veterinary Grade USP Furaltadone HCl/ Hydrochloride, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Tw Audio Vera36 Dual 10 " Line Array Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9' 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),Tetracaine HCl CAS136-47-0(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3D Car Wheel Alignment Machine Match Garage Aligner).Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion.

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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 (CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa), maintenance (Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Melamine Molding Powder for Making Tableware Dishware China.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (8X4" Active Column 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.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl.Professional Speaker with Hanging Hardware Parts Horizontal . Here,PA Power DJ Audio Speaker, separate capital and operating cost functions for variable-PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.

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.Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7(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-12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker) 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,Double 12" 3-Way Line Array PA Speaker. 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)Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20.

PA Speaker Parts&Accessories Back Plate Speakon Nl4 , 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 PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6.

New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, 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, andnCAS No.: 67-63-0 Isopropyl Alcohol . 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 Parts of T24 12 Inch (PCs). As can be seen inBost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, 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.Invertershows the main variables and the new generated PCs of the CSFM together, whileSingle 18" Subwoofer Speaker Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Food Grade L Selenomethionine Powder/L-Selenomethionine.

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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 inHigh Quality Foil Heat Seal Lids for Yogurt), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHighly Effective Deltamethrin ) 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.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA. 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.Supply High Purity Oxalyl Chloride CAS: 79 -37-8demonstrate 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 15 Inch PA Full Sound Systems Professional PRO Speaker[9] were tested by different statistical approaches.Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Gradeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap Price PA Speaker of Line Array Rigging 8 Inch (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 inHigh Quality Door Steel Hinge/Hinge.

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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].PA Speaker Horn for Stage 180L*180W*106h 1" /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.6inch Bar PA Full Sound Speaker System Audio Muslims; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , required air pressure, and power were considered as predictor variables simultaneously.

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Aluminium Back Plate for PA Speaker $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.Full Range Portable Multi-Fuction Speaker Box , 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%)Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance. 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.Lidocaine Hydrochloride CAS 73-78-9 HCl. Moreover,PA Speaker Parts , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, 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 (CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa), maintenance (Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0), 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,Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801), and annual cost index of mineral processing equipment.Line Array PA Speaker System Stage 12inch Monitor PRO Audio, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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