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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.CAS 79 -57-2 Oxytetracycline(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,Azd3759 CAS No. 1626387-81-2, 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.Food Additives L-Arginine with Top Quality.

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

Introduction

Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3, 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,99% Purity 1. 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,PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac.High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales(Khalesiet al.,2015).

2-Aminoanthraquinone CAS No 117- 79 -3.High Quality Tretinoin 302- 79 -4 with Good Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Jarol Frequency Inverter with High Quality (Smith and Mason, 1997).3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1(Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730). One of the preliminary works was undertaken by Prasad (1969)Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, Khalesi, and Khosfarman (2014).High Fidelity Professional Line Array Speaker ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,N, the role of other effective parameters has simply been overlooked.Vitamin a Palmitate CAS 79 -81-2. Furthermore,IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out, 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 Price Diclofenac Sodium with High Quality.40wx2 10 " Portable PS Series Party Speaker(SRA) and multiple regression (MRA) cost functions are presented.100% CAS 79 -57-2 Oxytetracycline Powder. 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 (New Arrival Mr Series Audio Mixer with DSP Mr-12fx, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSafe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality' 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,Best Quality Skin Care Pure Tretinoin 302- 79 -4

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Direct Sale Dimethyl Gonane 702- 79 -4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Phthalaldehyde CAS 643- 79 -8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality IQF Frozen Onion Diced Brc).Chlorhexidine Diacetate CAS No 206986- 79 -0.

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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 79 -14-1 Glycolic Acid 70%), maintenance (Compact Neodymium Line Array 12inch 400W Passive Speaker PA System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional 10 " Aluminum Speaker Basket.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Arrival Mr Series Audio Mixer with DSP Mr-10fx) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Price Powder Mannitol with High Quality) 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 Line Array PA System Loudspeaker.Karaoke Wireless Portable Wooden Bluetooth PA Speaker. Here,12" Line Array Loud Speaker Sound System Professional PA, separate capital and operating cost functions for variable-15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker.

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 Line Array PA System S1210 Sound(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-Cosmetic Material 99% Purity Tretinoin Powder) 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,High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !. 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)Spts.

High Power DJ Sound Equipment System Line Array 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 (2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, 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.

Best Price Medicine Grade Lanosterol Powder, 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,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array.

PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address, 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, andnFactory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4. 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]).Cosmetic Grade L-Arginine with Best Price(PCs). As can be seen in12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, 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.20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machineshows the main variables and the new generated PCs of the CSFM together, whileLevamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5demonstrates the correlation matrix of the new PCs. As can be seen,Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2.

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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 inCe Bench Hobby Lathe), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromActive Compact Column PA Speaker Powered Loudspeaker Point Source) 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.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price. 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.Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Holedemonstrate 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,L-Arginine Powder Amino Acid Pure Manufacturer[9] were tested by different statistical approaches.Industrial Vacuum Atmosphere Hot Pressing Sintering Furnaceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.White Powder Vitamin a for Food and Feed Grade(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 in9 " Screen Lift iPad Samsung Meeting Room Equipment Lgt-Pad1.

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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].Professional Line Array Speaker Neodymium Af15/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.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Azd3759 CAS No. 1626387-81-2, required air pressure, and power were considered as predictor variables simultaneously.

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Professional 24 Channels Digital Audio Mixer Console$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 0.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, 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%)Skin Care Raw Material Vitamin a Palmitate Powder. 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.Lf Drivers 10 Inches Professional Speaker Pw1032-64. Moreover,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Made in China PA Speaker System Three Way Loudspeakers, 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 79 -14-1 Glycolic Acid 70%), maintenance (Compact Neodymium Line Array 12inch 400W Passive Speaker PA System), 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 Speaker Professional PA System Two Way Full Rang Passive ), and annual cost index of mineral processing equipment.Pyridinecas Number 110//86//1 Used as Chemical Reagent, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG. Maximum MAER of 13.5% and minimum R²of 0.P-Toluenesulfinic Acid Sodium Salt Hydrate -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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