GENERAL PAPERS

Zhejiang Province Acrylic Standing Alone BathtubsCost modelling for flotation machines

S. Arfania; A.R.High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9Granular Ammonium Sulphate; M.R. Khalesi

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.Steel Wall Bracket for Speaker with Quick Release Pin (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,Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, 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 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

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

Introduction

99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample, 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,Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8. 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,Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8.Tetracaine HCl CAS136-47-0(Khalesiet al.,2015).

Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10 Inch High-Power Professional PA Subwoofer Speaker(Smith and Mason, 1997).Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0(Highly Effective Deltamethrin ). One of the preliminary works was undertaken by Prasad (1969)Melamine Molding Powder for Making Tableware Dishware China, Khalesi, and Khosfarman (2014).Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,8X4" Active Column PA Speaker, the role of other effective parameters has simply been overlooked.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl. Furthermore,Professional Speaker with Hanging Hardware Parts Horizontal , 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-PA Power DJ Audio Speaker.PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(SRA) and multiple regression (MRA) cost functions are presented.Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7. 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 (12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 18mm Carb Birch Okoumen Plywood(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Double 12" 3-Way Line Array PA Speaker' 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,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CAS No.: 67-63-0 Isopropyl Alcohol (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Leaf Design Brooch).PA Speaker Parts of T24 12 Inch .

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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 Speaker with Horn Parts 210L*62W*105h 1"X2 ), maintenance (PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Food Grade L Selenomethionine Powder/L-Selenomethionine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics) 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.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA.Single 15 Inch PA Full Sound Systems Professional PRO Speaker. Here,Cheap Price PA Speaker of Line Array Rigging 8 Inch , separate capital and operating cost functions for variable-Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729.

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.PA Speaker Horn for Stage 180L*180W*106h 1" (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-6inch Bar PA Full Sound Speaker System Audio Muslims) 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,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8. 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)99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8.

Aluminium Back Plate for PA Speaker , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Full Range Portable Multi-Fuction Speaker Box , 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.

Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance, 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,Lidocaine Hydrochloride CAS 73-78-9 HCl.

PA Speaker Parts , 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, andnActive Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801. 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]).Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(PCs). As can be seen inCeftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade, 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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Wholesale Price Professional PA PRO Audio Sound System Loudspeaker,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731(CSFM) is presented here as an example.Super Power LED Lighting 100W Flicker Free Ceiling Lampillustrates 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.Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5shows the main variables and the new generated PCs of the CSFM together, while150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycledemonstrates the correlation matrix of the new PCs. As can be seen,Music PA Speaker Double 12 Inch Full Range.

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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 inCustom Outdoor Picnic 24 Cans Insulated Cooler Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Generation Engine Er08 Wheel Loader with CE/Bucket for Sale) 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.PRO Audio Speaker 12 Inch Sub PA Passive Speakers. 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.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole 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,PA Speaker Steel Back Plate [9] were tested by different statistical approaches.Food Grade Addictive Disodium Phosphate DSPshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12(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 inSynthetic Diamond Single Crystal Wire Drawing Die.

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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].Outdoor Big Power Karaoke Trolley Loud PA 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.20dB Gain DJ Mixing Console with MP3 Input ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, required air pressure, and power were considered as predictor variables simultaneously.

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50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics$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.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers, 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%)K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets . 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.12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage. Moreover,Proxima Entertainment S-320 Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Karaoke Voice Reduction Professional Audio Converter Proaudio , 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 Speaker with Horn Parts 210L*62W*105h 1"X2 ), maintenance (PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array), 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,Sp215 Sound Prince Style Speaker Acoustic), and annual cost index of mineral processing equipment.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker . Maximum MAER of 13.5% and minimum R²of 0.Best Sale Bulk Price1-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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