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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.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant(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,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, 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.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.

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

Introduction

High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, 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,2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5. 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 Loudspeaker Line Array PRO Audio.Live Music Sound Line Array System for Acoustic and Electronic Performance(Khalesiet al.,2015).

PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use.900watt Amplifier Moudel Borad Chinese Class -Det al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cute Cheap Electric Scooter for Lady of 60V800W20ah From China(Smith and Mason, 1997).Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros(64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV). One of the preliminary works was undertaken by Prasad (1969)100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, Khalesi, and Khosfarman (2014).Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder, the role of other effective parameters has simply been overlooked.Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8. Furthermore,Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price, 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-Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery.Hot Sale Professional Loudspeaker PRO Audio (SRA) and multiple regression (MRA) cost functions are presented.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8. 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 (High Quality with Good Price Oxytetracycline HCl Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFood Saver High Transparent Vacuum Plastic Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Factory for Vitamin a Palmitate 0.25miu Powder' 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,Q1+Q Sub Sound & Light Installation High Performance in Concert Event

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sanitary Ware 1785mm/70.27" Rectangle Acrylic Freestanding Tub).Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas 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 (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), maintenance (Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Power Two-Way Full Range PRO Audio Speaker Box System) 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.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430. Here,Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer, separate capital and operating cost functions for variable-Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.

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.Rental Application Stage Monitor Audio&Sets(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-Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2) 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 Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic. 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)White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2.

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

99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock, 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,Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2.

Rimonabant Powder Weight Loss Factory Direct Supply, 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, andnTop Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder. 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]).High Quality Procainamide Hydrochloride 614-39-1(PCs). As can be seen in2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System, 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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PA Horn Loaded Speaker Professional Loudspeaker,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club(CSFM) is presented here as an example.Manufacturers Supply illustrates 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.Tws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Boxshows the main variables and the new generated PCs of the CSFM together, whileCompetitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizerdemonstrates the correlation matrix of the new PCs. As can be seen,Professional Audio Powerful High Compact Line Array Speaker Best Lq10.

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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 inPE Coated Eco Friendly High Quality Paper Coffee Cups for Wedding and Party), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from300cc New Classic Cheap Cargo Tricycle ) 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.Top Quality Benzocaine / HCl CAS 23239-88-5. 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.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker 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,Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6[9] were tested by different statistical approaches.Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free(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 inAmazon Fba Shipping to Germany.

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Cost model for variable-PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.

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].Mixer Power Amplifier with USB/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.Powered Line Array Active Stage Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, required air pressure, and power were considered as predictor variables simultaneously.

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PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood$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.Karaoke Speaker System Chinese KTV High Output Compact Box, 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%)Coaxial Speaker TD10. 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 Sound System Effects for Equipment Hire . Moreover,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Outdoor Show Audio Lt12 Passive Line Array Speaker System, 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 Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), maintenance (Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer), 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,Karaoke Microphone Bluetooth Sound Mixer Video Conference), and annual cost index of mineral processing equipment.Outdoor Speaker Professional Audio Factory, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p. Maximum MAER of 13.5% and minimum R²of 0.Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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