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 Powerful High Compact Line Array Speaker Best Lq10(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,GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, 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.Top Quality Benzocaine / HCl CAS 23239-88-5.

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

Introduction

Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6, 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,Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free. 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,PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker..Mixer Power Amplifier with USB(Khalesiet al.,2015).

Powered Line Array Active Stage Speaker.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter(Smith and Mason, 1997).PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array(Cheap Small Electric Scooter Moped 800W Motorcycle). One of the preliminary works was undertaken by Prasad (1969)PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood, Khalesi, and Khosfarman (2014).Karaoke Speaker System Chinese KTV High Output Compact Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Coaxial Speaker TD10, the role of other effective parameters has simply been overlooked.Professional Sound System Effects for Equipment Hire . Furthermore,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, 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-Outdoor Show Audio Lt12 Passive Line Array Speaker System.Karaoke Microphone Bluetooth Sound Mixer Video Conference(SRA) and multiple regression (MRA) cost functions are presented.Outdoor Speaker Professional Audio Factory. 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 (Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLG panel 49" advertising rack (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9' 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,PRO Audio PA Speaker

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Resin Crafts).High Quality Skin Care Tretinoin Powder with Best Price.

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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 (Professional Speker System 12 Inch PA Line Array Audio S1210), maintenance (Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker) 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.Passive Single 12'' Line Array Loudspeaker Sound System.TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address. Here,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use, separate capital and operating cost functions for variable-99% Proparacaine Hydrochloride / HCl CAS 5875-06-9.

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 Speaker PRO Audio System Compact Line Array PA Lq10(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-Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1) 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,125541 -22-2 Piperidine 1-N-Boc-4- . 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)CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside.

Blended Powder Oil Liquid Ripex 225 for Muscle Growth, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Good Effect for Treating Infertility in Women Clom CAS: 911-45-5, 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 Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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 Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal.

professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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, andnXylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive. 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]).Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9(PCs). As can be seen inWarm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, 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.Vacuum Shape Velashape Body Slimming SPA Equipmentshows the main variables and the new generated PCs of the CSFM together, whileErgonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truckdemonstrates the correlation matrix of the new PCs. As can be seen,Indoor DJ Stage Two Way Active Line Array Cabinet Box.

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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 in6W Dimmable E26/E27 LED Bulb Lights), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMini Private Design Tws True Wireless Stereo Headphone for Huawei) 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 0.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905. 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.ISOdemonstrate 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,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address[9] were tested by different statistical approaches.Motor Auto Hydraulic Open Three Wheel Motorcycle for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Glycine Methyl Ester Hydrochloride (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 in11oz Promotional Strengthen Porcelain Mug with Lid of Mkb016.

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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].Vitamin a Palmitate 1.0m/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.High Purity 99% Oxalyl Chloride with Good Quality; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping, required air pressure, and power were considered as predictor variables simultaneously.

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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.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price. Moreover,Supply High Purity Oxalyl Chloride CAS: 79 -37-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Fatory Supply Thiosemicarbazide CAS 79 -19-6, 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 (Professional Speker System 12 Inch PA Line Array Audio S1210), maintenance (Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36), 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,High Quality Retinoic Acid ), and annual cost index of mineral processing equipment.High Quality 98% Tretinoin , 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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