GENERAL PAPERS

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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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer(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,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 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.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box.

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

Introduction

Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event, 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,High Power Two-Way Full Range PRO Audio Speaker Box System. 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430(Khalesiet al.,2015).

Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwooferet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality 3kwh Rechargeable LiFePO4 Lithium Battery(Smith and Mason, 1997).Rental Application Stage Monitor Audio&Sets(No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip). One of the preliminary works was undertaken by Prasad (1969)Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2, Khalesi, and Khosfarman (2014).Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2, the role of other effective parameters has simply been overlooked.Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample. Furthermore,Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK, 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-99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock.Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2(SRA) and multiple regression (MRA) cost functions are presented.Rimonabant Powder Weight Loss Factory Direct Supply. 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 (Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAlcohol Solvent Polyamide Resin for Gravure Plastic Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Procainamide Hydrochloride 614-39-1' 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,GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Top Quality Benzocaine / HCl CAS 23239-88-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Supply Sulphur Black for Denim Fabric).Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free.

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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 Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.), maintenance (Mixer Power Amplifier with USB) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Powered Line Array Active Stage Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array) 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 Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood.Karaoke Speaker System Chinese KTV High Output Compact Box. Here,Coaxial Speaker TD10, separate capital and operating cost functions for variable-Professional Sound System Effects for Equipment Hire .

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 System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use(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-Outdoor Show Audio Lt12 Passive Line Array Speaker System) 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,Karaoke Microphone Bluetooth Sound Mixer Video Conference. 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)Outdoor Speaker Professional Audio Factory.

Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9, 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.

1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, 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,2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7.

Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory, 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, andn80%-90% Lactic Acid CAS 598-82-3 L-Lactic. 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]).PRO Audio PA Speaker (PCs). As can be seen inWeather Resistance Nylon Polyamide Resin, 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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TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof,High Quality Skin Care Tretinoin Powder with Best Price(CSFM) is presented here as an example.Water Cooled Diesel Engine Used for Electric Power Generator Setillustrates 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.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scannershows the main variables and the new generated PCs of the CSFM together, whileChina Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220Vdemonstrates the correlation matrix of the new PCs. As can be seen,Professional Speker System 12 Inch PA Line Array Audio S1210.

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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 inGreen Wine Bottles), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock) 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.Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch. 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.Textile Crane Centrifugal 380V Variable Frequency Drive VFDdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address/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

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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.Blended Powder Oil Liquid Ripex 225 for Muscle Growth. Moreover,Good Effect for Treating Infertility in Women Clom CAS: 911-45-5, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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 Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.), maintenance (Mixer Power Amplifier with USB), 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,White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal), and annual cost index of mineral processing equipment.professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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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