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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 Power Two-Way Full Range PRO Audio Speaker Box System(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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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 0.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430.

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

Introduction

Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer, 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer. 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,Rental Application Stage Monitor Audio&Sets.Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2(Khalesiet al.,2015).

Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic.White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5(Smith and Mason, 1997).Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample(Food Grade L Selenomethionine Powder/L-Selenomethionine). One of the preliminary works was undertaken by Prasad (1969)Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK, Khalesi, and Khosfarman (2014).99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, the role of other effective parameters has simply been overlooked.Rimonabant Powder Weight Loss Factory Direct Supply. Furthermore,Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder, 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-High Quality Procainamide Hydrochloride 614-39-1.Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3(SRA) and multiple regression (MRA) cost functions are presented.PA Horn Loaded Speaker Professional Loudspeaker. 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 (Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWeather Resistance Nylon Polyamide Resin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio Powerful High Compact Line Array Speaker Best Lq10' 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,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mixer Power Amplifier with USB, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Powered Line Array Active Stage Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Printed Teardrop Banner Poles).PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array.

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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 (PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array), maintenance (PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Karaoke Speaker System Chinese KTV High Output Compact Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Coaxial Speaker TD10) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Sound System Effects for Equipment Hire ) 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.PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use.Outdoor Show Audio Lt12 Passive Line Array Speaker System. Here,Karaoke Microphone Bluetooth Sound Mixer Video Conference, separate capital and operating cost functions for variable-Outdoor Speaker Professional Audio Factory.

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.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p(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-Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9) 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,1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. 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)2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7.

Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (80%-90% Lactic Acid CAS 598-82-3 L-Lactic, 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.

PRO Audio PA Speaker , 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,Top Quality Tretinoin Powder  Retinoic Acid for Skin Care.

TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof, 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, andnHigh Quality Skin Care Tretinoin Powder with Best Price. 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]).Professional Speker System 12 Inch PA Line Array Audio S1210(PCs). As can be seen inWater Cooled Diesel Engine Used for Electric Power Generator Set, 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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Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch,Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate(CSFM) is presented here as an example.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220Villustrates 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.Portable-Rorary Type DOT Peen Marking Machine for Metalshows the main variables and the new generated PCs of the CSFM together, whileCosmetic Material 99% Purity Tretinoin Powderdemonstrates the correlation matrix of the new PCs. As can be seen,Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker.

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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 inSmun S-25-5 25W 5V 5A AC/DC Switching Power Supply SMPS), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTextile Crane Centrifugal 380V Variable Frequency Drive VFD) 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.TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address. 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.Hot Selling Headset Bluetooth Wireless Headphone with Charger Casedemonstrate 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,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use[9] were tested by different statistical approaches.All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lfshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9(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 inBaby Diaper Design And Quility It's Up To You.

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Cost model for variable-Professional Speaker PRO Audio System Compact Line Array PA Lq10

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].Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1/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.125541 -22-2 Piperidine 1-N-Boc-4- ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, required air pressure, and power were considered as predictor variables simultaneously.

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Good Effect for Treating Infertility in Women Clom CAS: 911-45-5$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.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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%)White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal. 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.professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816. Moreover,Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9, 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 (PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array), maintenance (PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood), 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,Low Price Malonic Acid / Propanedioic CAS 141-82-2), and annual cost index of mineral processing equipment.2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,L-Arginine Nutritional Supplements  Arginine  Flavoring Agents. Maximum MAER of 13.5% and minimum R²of 0.Indoor DJ Stage Two Way Active Line Array Cabinet Box-feasibility and even feasibility study level of projects.

References

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80%-90% Lactic Acid CAS 598-82-3 L-Lactic, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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