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.N- (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,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment, 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.Raw Material Anti Epilepsy Topiramate Powder with Best Price.

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

Introduction

Dual 12 Inch Powered Line Array Active Sound System W-210bp, 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 Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl. 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,Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5.Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample(Khalesiet al.,2015).

Kas DJ Speaker Dual Line Array 18 Inch Subwoofer.Mini Speaker Line Array Wedding Decoraions DJ Mixeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder(Smith and Mason, 1997).8 Ohm PRO Audio DJ Mixer Live Sound System(0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump). One of the preliminary works was undertaken by Prasad (1969)Professional Stage Line Array System Dual 15'' Self-Powered Speaker, Khalesi, and Khosfarman (2014).High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Topiramate, the role of other effective parameters has simply been overlooked.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3. Furthermore,Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, 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-Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price(SRA) and multiple regression (MRA) cost functions are presented.Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price. 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 Nootropics Noopept CAS 157115-85-0 Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Kara Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5' 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,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker

►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 Audio Line Array Speaker Neodymium Crossover System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Line Array System with Parts for PRO Audio Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hex Head Stainless Steel Binding Post Barrel Without Mating Screw).Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System.

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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 (Power Amplifier Module Board + Made in China 400 Watt AMP), maintenance (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Tp01 Piezo Electric Dome Tweeter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array of Parts for PRO Audio Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Line Array with Accessories for PRO Audio ) 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.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker.Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2. Here,Tg01 1 Inch Silk Dome Tweeter, separate capital and operating cost functions for variable-Professional Speaker Compective PRO Audio .

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.Double 12inch Active Coaxial 29kg Line Array Speaker System(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-Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor) 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,Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant. 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)Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5.

Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, 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.

2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, 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,Professional Loudspeaker Line Array PRO Audio.

Live Music Sound Line Array System for Acoustic and Electronic Performance, 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 System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use. 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]).900watt Amplifier Moudel Borad Chinese Class -D(PCs). As can be seen inShower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90, 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.Powered Speaker System for Home Theatershows the main variables and the new generated PCs of the CSFM together, whileFactory Price Powder Mannitol with High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder.

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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 inHome Textiles Long Pile Mohair Velvet Upholstery Sofa Fabric), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box) 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.Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price. 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.Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bikedemonstrate 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,Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery[9] were tested by different statistical approaches.Small Column White Color Church Conference Room Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Professional Loudspeaker PRO Audio (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 inSea Freight From Shanghai to USA/America.

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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].High Quality with Good Price Oxytetracycline HCl Powder/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.Chinese Factory for Vitamin a Palmitate 0.25miu Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price$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.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, 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%)Q1+Q Sub Sound & Light Installation High Performance in Concert Event. 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 PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker. Moreover,Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, 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 (Power Amplifier Module Board + Made in China 400 Watt AMP), maintenance (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816), 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,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), and annual cost index of mineral processing equipment.Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box. Maximum MAER of 13.5% and minimum R²of 0.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event-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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