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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.Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array(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,High Reliability DSP Active Professional Line Array Speaker , 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.Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker.

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

Introduction

Professional Audio Line Array Speaker Neodymium Crossover System, 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,Line Array System with Parts for PRO Audio Speaker . 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,Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System.Power Amplifier Module Board + Made in China 400 Watt AMP(Khalesiet al.,2015).

Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816.Tp01 Piezo Electric Dome Tweeteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer(Smith and Mason, 1997).Line Array of Parts for PRO Audio Speaker (Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer). One of the preliminary works was undertaken by Prasad (1969)Line Array with Accessories for PRO Audio , Khalesi, and Khosfarman (2014).Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2, the role of other effective parameters has simply been overlooked.Tg01 1 Inch Silk Dome Tweeter. Furthermore,Professional Speaker Compective PRO Audio , 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-Double 12inch Active Coaxial 29kg Line Array Speaker System.Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor(SRA) and multiple regression (MRA) cost functions are presented.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant. 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 (Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPromotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2' 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),Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (90 Degrees Adjustable LED Christmas Light String).100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release.

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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 (Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3), maintenance (99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery) 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.Hot Sale Professional Loudspeaker PRO Audio .Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8. Here,High Quality with Good Price Oxytetracycline HCl Powder, separate capital and operating cost functions for variable-Chinese Factory for Vitamin a Palmitate 0.25miu Powder.

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.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8(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-Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 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,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price. 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)Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker.

Q1+Q Sub Sound & Light Installation High Performance in Concert Event, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker, 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.

Powerful PRO Audio 2 Way Full Range DSP Powered Line Array 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,Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array.

Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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, andnKas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer. 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]).Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box(PCs). As can be seen inKomastu PC60-6 Arm Cyl Oil Seal Kit, 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.High Quality Tretinoin 302- 79 -4 with Good Priceshows the main variables and the new generated PCs of the CSFM together, while80%-90% Lactic Acid CAS 598-82-3 L-Lacticdemonstrates the correlation matrix of the new PCs. As can be seen,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430.

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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 inFactory Sell Emoji Pub Carnival Cheap Award Custom Cartoon Hero Superhelden Christmas Medal with Customized Logo), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Efficicency Roof Mounting Grid Tied Home Solar Energy System) 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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer. 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.1L Beer Candemonstrate 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,Rental Application Stage Monitor Audio&Sets[9] were tested by different statistical approaches.Plastic Purple Color Masterbatchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2(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 inVeneer Rotary Peeling Machine with Clipper Servo System Plywood.

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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].White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2/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.Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Reliability DSP Active Professional Line Array Speaker , required air pressure, and power were considered as predictor variables simultaneously.

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Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2$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.Rimonabant Powder Weight Loss Factory Direct Supply, 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%)Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder. 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.High Quality Procainamide Hydrochloride 614-39-1. Moreover,Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA Horn Loaded Speaker Professional Loudspeaker, 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 (Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3), maintenance (99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder), 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,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club), and annual cost index of mineral processing equipment.Professional Audio Powerful High Compact Line Array Speaker Best Lq10, 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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