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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 Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9(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,2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, 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.Professional Loudspeaker Line Array PRO Audio.

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

Introduction

Live Music Sound Line Array System for Acoustic and Electronic Performance, 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,PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use. 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,900watt Amplifier Moudel Borad Chinese Class -D.Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price' 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),Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Perfumes with Plastic Different).Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box.

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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 (Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event), maintenance (High Power Two-Way Full Range PRO Audio Speaker Box System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (30W Dante Wall Speaker with External 24V DC Power Supply Dp 430) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer) 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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.Rental Application Stage Monitor Audio&Sets. Here,Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2, separate capital and operating cost functions for variable-Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic.

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.White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2(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-Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample) 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,Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Rimonabant Powder Weight Loss Factory Direct Supply, 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.

Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder, 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,High Quality Procainamide Hydrochloride 614-39-1.

Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3, 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, andnPA Horn Loaded Speaker Professional Loudspeaker. 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]).Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club(PCs). As can be seen inPlastic Purple Color Masterbatch, 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.Edible Oil Can Manufacturer Square Food Grade Metal Tinshows the main variables and the new generated PCs of the CSFM together, whileAmmonium Polyphosphate APP-II CAS No. 68333- 79 -9demonstrates the correlation matrix of the new PCs. As can be seen,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6.

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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 inDog's Nest Factory Direct Selling Plush Round Popular Pet Cat's Dog Bed Cushion Supplies), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBenzene Soluble Polyamide Resin for Flexo Printing Ink) 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.PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.. 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.Line Arrays Speaker Dual 10 Inch Powered Sound systemdemonstrate 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,Mixer Power Amplifier with USB[9] were tested by different statistical approaches.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Powered Line Array Active Stage Speaker(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 inFactory Custom ABS Best Chrome TRD Car Logo Emblem Badge.

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Cost model for variable-PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array

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].PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array/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.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Sound System Effects for Equipment Hire $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.PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, 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%)Outdoor Show Audio Lt12 Passive Line Array Speaker System. 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.Karaoke Microphone Bluetooth Sound Mixer Video Conference. Moreover,Outdoor Speaker Professional Audio Factory, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p, 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 (Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event), maintenance (High Power Two-Way Full Range PRO Audio Speaker Box System), 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,Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9), and annual cost index of mineral processing equipment.1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Home Theater SpeakerDare 10inch Passive Line Array Sound SystemCorresponding author