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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 Fidelity Professional Line Array Speaker (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,N, 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.Vitamin a Palmitate CAS 79 -81-2.

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

Introduction

IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out, 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,Best Price Diclofenac Sodium with High Quality. 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,40wx2 10 " Portable PS Series Party Speaker.100% CAS 79 -57-2 Oxytetracycline Powder(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Compact Neodymium Line Array 12inch 400W Passive Speaker PA System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inActive 10 " Line Array with Calss-D Amplifier and Built-in DSP(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional 10 " Aluminum Speaker Basket' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Line Array PA System S1210 Sound(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (100ml Glass Bottles Reed Diffuser Sticks Air Fresher Essential Oil Flameless Aromatherapy Home Perfume).Cosmetic Material 99% Purity Tretinoin Powder.

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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 (High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !), maintenance (Spts) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Power DJ Sound Equipment System Line Array PA Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Price Medicine Grade Lanosterol Powder) 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 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. Here,Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4, separate capital and operating cost functions for variable-Cosmetic Grade L-Arginine with Best Price.

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.Anti-Wrinkle and Aging Chemical Raw Materials(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-High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery) 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,Waterproof Childproof Ziplock Valve Bag. 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)Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2.

Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, 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.

L-Arginine Powder Amino Acid Pure Manufacturer, 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,White Powder Vitamin a for Food and Feed Grade.

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whereC_eis the estimated cost,C_athe actual cost, andnProfessional Line Array Speaker Neodymium Af15. 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]).Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade(PCs). As can be seen inFactory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, 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.Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaineshows the main variables and the new generated PCs of the CSFM together, whileChina 300cc Adult Road Legal 2 Seat Pedal Go Kartdemonstrates the correlation matrix of the new PCs. As can be seen,100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements.

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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 in5L High Flow New Healthcare Medical Equipment Oxygen Concentrator), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift) 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.Lf Drivers 10 Inches Professional Speaker Pw1032-64. 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.0.75kw-11kw Three Phase 380V Frequency Inverter VFDdemonstrate 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,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial[9] were tested by different statistical approaches.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Made in China PA Speaker System Three Way Loudspeakers(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 in30t Excavator Skeleton Bucket with Nm400 Material.

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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].Pyridinecas Number 110//86//1 Used as Chemical Reagent/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.Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,N, required air pressure, and power were considered as predictor variables simultaneously.

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Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7$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.CAS: 13463-67-7 Titanium Dioxide Powder, 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%)Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic. 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.Factory Supply 99% Dexketoprofen Trometamol Powder. Moreover,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box, 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 (High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !), maintenance (Spts), 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,Feiyang New Hot Selling Trolley Speaker Fg210-06), and annual cost index of mineral processing equipment.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,PRO Audio PA System Digital Mixer. Maximum MAER of 13.5% and minimum R²of 0.Food Grade L-Arginine with Best Price-feasibility and even feasibility study level of projects.

References

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.10 Inch Powered Line Array Speaker Active.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.KTV 10 Inch Speaker Box with Good Sound, Montreal. 319 pp.         [Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine]

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Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-L-Arginine 99%.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [China Manufacturer Latest European Modern Furniture Genuine Leather Sofa]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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