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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.Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker(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,Manufacturer Supply 1, 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.Dual 10inch Powerful Line Array Speaker Ds210 Professional.

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

Introduction

Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, 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,Neodymium Double 10 Inch DSP Active Professional Powered Line Array 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,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Best Price O-Phthalaldehyde, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEconomic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Good Quality Powder CAS 56377- 79 -8 Nosiheptide 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),Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plastic Wash Bottle for Lab Use).10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array 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 (Two-Way Passive Line Array ), maintenance (High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Foil Liquid Packaging Stand up Spout Pouch Food Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant) 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.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca.Mylar Child Resistant Waterproof Plastic Bag with Zipper. Here,Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag, separate capital and operating cost functions for variable-Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper.

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.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price(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-Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock) 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,Custom Aluminum Foil Laminated Bag with Zipper. 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)High Purity O-Phthalaldehyde.

PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Quality Assurance O-Phthalaldehyde, 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.

High Power Speaker Dual 10 " PRO/Professional Audio Line Array , 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,10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array.

Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, 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, andnVitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease. 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]).Hrk Provide Topiramate Powder Price CAS 97240- 79 -4(PCs). As can be seen in3kw Air-Cooled UHF Digital TV Transmitter DTV, 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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China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers ,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt(CSFM) is presented here as an example.Outdoor Show Audio Lt12 Passive Line Array Speaker Systemillustrates 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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anesthetishows the main variables and the new generated PCs of the CSFM together, whileFarm Equipment 800kg Small Loader Payloader for Saledemonstrates the correlation matrix of the new PCs. As can be seen,China Hot Sale Professional Speaker Dual 10 Inch Line Array.

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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 inPrivate Label 100% Natural Pure Beard Growth Oil Organic Mens), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub) 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 CAS 643- 79 -8 O-Phthalaldehyde. 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.in Line Direct Injection Diesel Engine Used for Generator Setdemonstrate 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,High Quality Chemical Product 4- [9] were tested by different statistical approaches.Inverter Cabinet VFD Frequencyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System(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 inStar Shape Crystal Trophy Awards.

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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].Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White 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.Dual 10inch Powerful Line Array Speaker Ds210; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Manufacturer Supply 1, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W$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.Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with Fast Delivery, 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%)Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing. 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.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210. Moreover,10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Aicrowe L- , 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 (Two-Way Passive Line Array ), maintenance (High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker), 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,Diase PRO Audio Dual 10inch Professional Line Array 700W), and annual cost index of mineral processing equipment.PS10 High Power 10 Inch Monitor PA Speaker for Live Performance, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches. Maximum MAER of 13.5% and minimum R²of 0.Food Grade Vitamin a Palmitate Powder CAS 79 -81-2-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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