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90/90-21 China Super Cheap Motorcycle Tire/TyreCost modelling for flotation machines

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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.High Quality Tretinoin 302- 79 -4 with Good Price(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,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1, 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.Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China.

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

Introduction

High Fidelity Professional Line Array Speaker , 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,N. 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,Vitamin a Palmitate CAS 79 -81-2.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Phthalaldehyde CAS 643- 79 -8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Arrival Mr Series Audio Mixer with DSP Mr-12fx(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chlorhexidine Diacetate CAS No 206986- 79 -0' 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),Karaoke Wireless Portable Wooden Bluetooth PA Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Can Be Customized Knitted Design Coffee Mug Mkb251).12" Line Array Loud Speaker Sound System Professional PA.

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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 (15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker), maintenance (Professional Line Array PA System S1210 Sound) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cosmetic Material 99% Purity Tretinoin Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Spts) 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.High Power DJ Sound Equipment System Line Array PA Speaker.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array. Here,Best Price Medicine Grade Lanosterol Powder, separate capital and operating cost functions for variable-Outdoor Professional Audio Loudspeaker PA Stage Active Line Array.

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.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(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-Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4) 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,Cosmetic Grade L-Arginine with Best Price. 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)Anti-Wrinkle and Aging Chemical Raw Materials.

High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Waterproof Childproof Ziplock Valve Bag, 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.

Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2, 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,Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate.

Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, 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, andnL-Arginine Powder Amino Acid Pure Manufacturer. 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]).White Powder Vitamin a for Food and Feed Grade(PCs). As can be seen inLevamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, 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.Active Compact Column PA Speaker Powered Loudspeaker Point Sourceshows the main variables and the new generated PCs of the CSFM together, whileSuper Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Lightdemonstrates the correlation matrix of the new PCs. As can be seen,Q210 Passive PA Speaker System.

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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 Biodegradable PLA Pbat Corn Starch Mailer Bag), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDisperse Red/Blue/Orange/ Violet /Black) 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.Professional 24 Channels Digital Audio Mixer Console. 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.SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearingsdemonstrate 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,100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements[9] were tested by different statistical approaches.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Skin Care Raw Material Vitamin a Palmitate Powder(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 in375kVA/300kw Soundproof Power Generator Set Diesel Engine Genset with Ce.

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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].12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial/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.Made in China PA Speaker System Three Way Loudspeakers; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1, required air pressure, and power were considered as predictor variables simultaneously.

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Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG$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.P-Toluenesulfinic Acid Sodium Salt Hydrate , 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%)Bloom Tech Chemical Reagent Bis . 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.Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7. Moreover,CAS: 13463-67-7 Titanium Dioxide Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, 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 (15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker), maintenance (Professional Line Array PA System S1210 Sound), 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,Factory Supply 99% Dexketoprofen Trometamol Powder), and annual cost index of mineral processing equipment.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , 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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