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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.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64(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,Dual 10 Inch Line Array Speaker for Theater , 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.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker .

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

Introduction

Dual 10 Inch Line Array for Church , 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,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box . 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,10'' Inch Ferrite Woofer.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(Khalesiet al.,2015).

Q1 Dual 10 " Line Array System.D&B Style Dual 10 " Compact Line Array et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports(Smith and Mason, 1997).New Tw Audio Vera36 Dual 10 " Line Array Speaker System(High Purity 99% Oxalyl Chloride with Good Quality). One of the preliminary works was undertaken by Prasad (1969)Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, Khalesi, and Khosfarman (2014).Dual 10 " Compact Professional Line Array ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, the role of other effective parameters has simply been overlooked.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag. Furthermore,Hot Sale Vacuum Bag Nylon Material for Agricultural Products, 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-Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.Bio-Degradable Brown Kraft Food Packaging Bag(SRA) and multiple regression (MRA) cost functions are presented.Child Resistant Waterproof Plastic Bag with Zipper. 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 (Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2HP Frequency Converter Vector Single Phase(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fried Chicken Sweet Chili Sauce Food Packaging' 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),Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Children Bookbag Book Bags Students Backpack School Bag for Kids).USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory.

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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 (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China), maintenance (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10'' Inch Ferrite Woofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10'' Ferrite Woofer) 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 Stage Line Array System Dual 10 Inch DSP Active Speaker .D&B Style Dual 10 " Professional Speaker Line Array . Here,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, separate capital and operating cost functions for variable-Line Array 10 Inchneodymiun PRO Audio Woofer.

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.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice(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 Custom Printing Barrier Exit Bag) 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,10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment. 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 Line Array.

Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Supply 1, 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.

Dual 10inch Powerful Line Array Speaker Ds210 Professional, 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,Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02.

Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker, 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, andnFast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794. 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]).Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4(PCs). As can be seen inInconel X-750 Forged/Forging Round Bars , 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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10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box,Pharmaceutical Intermediate 1(CSFM) is presented here as an example.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lightsillustrates 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.Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2shows the main variables and the new generated PCs of the CSFM together, whileIGBT Induction Heater Heating Equipment for Metal Surface demonstrates the correlation matrix of the new PCs. As can be seen,2-Phenylbenzimidazole|716- 79 -0 99% High Purity.

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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 inGlass Wash Basin Solid Wooden Bathroom Vanity), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSkin Whitening Machine / Fractional RF) 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.High Quality 1. 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.Europe Popular 5kw Grid Tied Home Solar Energy System with Cedemonstrate 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,China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3[9] were tested by different statistical approaches.Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale(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 inMultifunction Backpack Bag Men's Shoulder Strap.

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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 Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper/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.Sell Well Opa; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dual 10 Inch Line Array Speaker for Theater , required air pressure, and power were considered as predictor variables simultaneously.

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Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide$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.Qsn Professional Audio Dual 10 "Power Speaker Xt10, 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%)Hot Selling Powder Thiabendazole CAS 148- 79 -8. 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 Coffee /Candy/Weed Plastic Container. Moreover,Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit, 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 (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China), maintenance (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate 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,Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210), and annual cost index of mineral processing equipment.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Two-Way Passive Line Array . Maximum MAER of 13.5% and minimum R²of 0.High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker-feasibility and even feasibility study level of projects.

References

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Mular, A.L. 1982.Custom Aluminum Foil Laminated Bag with Zipper.High Purity O-Phthalaldehyde.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, Montreal. 265 pp.         [Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Quality Assurance O-Phthalaldehyde.High Power Speaker Dual 10 " PRO/Professional Audio Line Array .PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker, Montreal. 319 pp.         [Bathroom Acrylic Alone Common Bathtub with Two Side Apron ]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Cheap Plastic Raw Material Granules Black Masterbatch]

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USBM. 1987.Top Quality CAS 643- 79 -8 O-Phthalaldehyde,High Quality Chemical Product 4- -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [60Hz 250kVA Trailer Type Silent Diesel Generator for Philippines Market 200kw Mobile Portable Genset]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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