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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.Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container(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 Quality Laminated Food Grade Roll Film, 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.D&B Style Dual 10 Inch Compact Line Array .

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

Introduction

Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, 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,Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container. 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,Family Usage Embossed Vacuum Bags for Food.Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (D&B Style Dual 10 " Compact Line Array , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSpts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Tw Audio Vera36 Dual 10 " Line Array Speaker System' 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,Hot Sale Vacuum Bag Nylon Material for Agricultural Products

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Bio-Degradable Brown Kraft Food Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (White Color SMD Flexible Strip Light).Child Resistant Waterproof Plastic Bag with Zipper.

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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 (Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag), maintenance (Fried Chicken Sweet Chili Sauce Food Packaging) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kraft Paper Flat Bottom Bag with Ziplock) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker) 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.Alumimun Foil Film Bag.99 Purity Peptides Oxytocin Injection Acetate 2mg. Here,99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, separate capital and operating cost functions for variable-Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .

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.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory(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-Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China) 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,Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder. 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 Ferrite Woofer.

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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.

Professional Stage Line Array System Dual 10 Inch DSP Active 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,D&B Style Dual 10 " Professional Speaker Line Array .

UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, 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, andnLine Array 10 Inchneodymiun PRO Audio Woofer. 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]).Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice(PCs). As can be seen in1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, 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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10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment,10 Inch Coaxial Speaker Professional Driver 250wrms Line Array(CSFM) is presented here as an example.High Purity 99% Oxalyl Chloride with Good Qualityillustrates 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.2HP Frequency Converter Vector Single Phaseshows the main variables and the new generated PCs of the CSFM together, while3X3 video wall LCD HD 1080P digital display screendemonstrates the correlation matrix of the new PCs. As can be seen,Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker.

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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 inHand Sanitizer Alcohol Liquid Antibacterial Instant Hypochlorous Acid Non-Contact Automatic Soap Foam Aromatherapy Aloe Leave-on Spray Sterilization), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights) 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.Dual 10inch Powerful Line Array Speaker Ds210 Professional. 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.IGBT Induction Heater Heating Equipment for Metal Surface demonstrate 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,Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02[9] were tested by different statistical approaches.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipmentshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker(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 inCustomized Carbide Tungsten Wire Drawing Die.

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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].Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4/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.High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Laminated Food Grade Roll Film, required air pressure, and power were considered as predictor variables simultaneously.

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2-Phenylbenzimidazole|716- 79 -0 99% High Purity$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.Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, 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%)High Quality 1. 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.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3. Moreover,New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price, 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 (Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag), maintenance (Fried Chicken Sweet Chili Sauce Food Packaging), 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,High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper), and annual cost index of mineral processing equipment.Sell Well Opa, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Best Price O-Phthalaldehyde. Maximum MAER of 13.5% and minimum R²of 0.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price-feasibility and even feasibility study level of projects.

References

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Mylar Child Resistant Waterproof Plastic Bag with Zipper.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [LDPE Plastic Pellet 30% Black Pigment Color Masterbatch]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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