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.PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118(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,Home Theater PA PRO Audio Speaker, 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.PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer.

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

Introduction

Professional Audio Kara Line Array, 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,Three-Way Large Touring Performance Line Array System PA 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,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8(Khalesiet al.,2015).

Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System.Best Quality Safe Delivery 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid(Smith and Mason, 1997).Cheap Price Speaker Wall Mount Bracket (Food Grade Vitamin a Palmitate Powder CAS 79 -81-2). One of the preliminary works was undertaken by Prasad (1969)Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8, Khalesi, and Khosfarman (2014).Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Manufacturers Supply , the role of other effective parameters has simply been overlooked.High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride. Furthermore,High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9, 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-Steel Wall Bracket for Speaker with Quick Release Pin .Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8(SRA) and multiple regression (MRA) cost functions are presented.CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. 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 (99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8' 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,Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Melamine Molding Powder for Making Tableware Dishware China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Glamouous Halter Strap Lace Short Dress).8X4" Active Column PA Speaker.

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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 (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl), maintenance (Professional Speaker with Hanging Hardware Parts Horizontal ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Power DJ Audio Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7) 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.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.Double 12" 3-Way Line Array PA Speaker. Here,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20, separate capital and operating cost functions for variable-PA Speaker Parts&Accessories Back Plate Speakon Nl4 .

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 Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da(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-15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design 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,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6. 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)New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260.

CAS No.: 67-63-0 Isopropyl Alcohol , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Speaker Parts of T24 12 Inch , 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.

PA Speaker with Horn Parts 210L*62W*105h 1"X2 , 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,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, 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, andnFood Grade L Selenomethionine Powder/L-Selenomethionine. 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]).120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(PCs). As can be seen in5GHz 30dBi Mimo Dish Antennas, 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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Single 15 Inch PA Full Sound Systems Professional PRO Speaker,Cheap Price PA Speaker of Line Array Rigging 8 Inch (CSFM) is presented here as an example.Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Codingillustrates 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.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for Houseshows the main variables and the new generated PCs of the CSFM together, whileDual 10 " Compact Professional Line Array demonstrates the correlation matrix of the new PCs. As can be seen,Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729.

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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 inStainless Steel Vacuum Insulated Wine Tumbler with Lid 12 Oz), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Sound System 10'' PRO Neodymium Line Array PA Audio System.) 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 0.6inch Bar PA Full Sound Speaker System Audio Muslims. 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.High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Pricedemonstrate 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,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8[9] were tested by different statistical approaches.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Routershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8(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 inNew Pattern Sofa Material Fabric.

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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].Full Range Portable Multi-Fuction Speaker Box /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.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Home Theater PA PRO Audio Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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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.Wholesale Price Professional PA PRO Audio Sound System Loudspeaker. Moreover,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Music PA Speaker Double 12 Inch Full Range, 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 (Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl), maintenance (Professional Speaker with Hanging Hardware Parts Horizontal ), 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,PA Column Speaker Empty Alu. Cabinet 4.5" ), and annual cost index of mineral processing equipment.PRO Audio Speaker 12 Inch Sub PA Passive Speakers, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,PA Speaker Steel Back Plate . Maximum MAER of 13.5% and minimum R²of 0.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12-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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