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.Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit(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,Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, 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 0.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System.

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

Introduction

Two-Way Passive Line Array , 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 Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional 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,Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks.Foil Liquid Packaging Stand up Spout Pouch Food Bag(Khalesiet al.,2015).

Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Caet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate(Smith and Mason, 1997).Mylar Child Resistant Waterproof Plastic Bag with Zipper(Outdoor PRO Audio Loudspeaker). One of the preliminary works was undertaken by Prasad (1969)Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, Khalesi, and Khosfarman (2014).Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, the role of other effective parameters has simply been overlooked.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock. Furthermore,Custom Aluminum Foil Laminated Bag with Zipper, 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-High Purity O-Phthalaldehyde.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker(SRA) and multiple regression (MRA) cost functions are presented.Quality Assurance O-Phthalaldehyde. 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 Power Speaker Dual 10 " PRO/Professional Audio Line Array , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array' 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,China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Hot Sale Professional Speaker Dual 10 Inch Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (One-storey steel structure warehouse).10 " Plywood Professional DSP Active Speaker .

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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 (Top Quality CAS 643- 79 -8 O-Phthalaldehyde), maintenance (High Quality Chemical Product 4- ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder) 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.Dual 10inch Powerful Line Array Speaker Ds210.Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality. Here,Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System, separate capital and operating cost functions for variable-Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W.

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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery(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-Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing) 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,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210. 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)10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer.

Aicrowe L- , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diase PRO Audio Dual 10inch Professional Line Array 700W, 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.

PS10 High Power 10 Inch Monitor PA Speaker for Live Performance, 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,Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches.

Food Grade Vitamin a Palmitate Powder CAS 79 -81-2, 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, andnBiocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate. 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]).Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0(PCs). As can be seen in20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V, 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.Changhong Film Stack Flexo Printing Machineshows the main variables and the new generated PCs of the CSFM together, whileCAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceuticaldemonstrates the correlation matrix of the new PCs. As can be seen,Food Grade Lactic Acid 79 -33-4.

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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 inFull Hard 0.45mm Corrugated Galvanized Iron Zinc Metal Steel Roofing Sheet for Building Materials), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromColor Custom Diesel Engine with Four-Stroke for Generator Set) 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 0.10 " Inch Speaker System PRO Audio Entertainment Speakers . 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.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBTdemonstrate 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,10 -50W 6.5 Inch PA Sound Ceiling Speaker[9] were tested by different statistical approaches.Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Speaker Double 10 Inch Line Array (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 inWholesale Manufacturer Classic Printing Picnic Cooler Bag.

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Cost model for variable-Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker

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].Custom Plastic Food Contact Packaging Bags/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.Dual 10 Inch 600W High-End Stage Line Array PRO Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, required air pressure, and power were considered as predictor variables simultaneously.

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Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window$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.Single 10 Inches Passive/Active Full-Range Professional Loudspeaker, 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%)Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof. 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.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System. Moreover,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker, 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 (Top Quality CAS 643- 79 -8 O-Phthalaldehyde), maintenance (High Quality Chemical Product 4- ), 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,Single 10 Inch 2 Way Mini Portable Line Array Speaker), and annual cost index of mineral processing equipment.China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7. Maximum MAER of 13.5% and minimum R²of 0.Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery-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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