GENERAL PAPERS

Velashape Slimming Cellulite Removal Body Sculpting Fat MachineCost modelling for flotation machines

S. Arfania; A.R.Single 10 Inch Active Speaker PS10r2 PA SystemCustomized B/C/D/E Grade Wood/Natural Birch Veneer; M.R. Khalesi

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 Audio Speaker Dual 10 Inch Neodymium Line Array(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,Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging, 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.Food Grade Packaging Custom Print Laminated Stand up Bag.

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

Introduction

Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window, 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,Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed. 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,Food Packaging Bag.High Quality Coffee /Candy/Weed /Hemp Plastic Container(Khalesiet al.,2015).

Water Proof Child Coffee /Candy/Weed Plastic Container.10 Inch Coaxial Speaker Professional Driver " Line Array Subwooferet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Low Price 4(Smith and Mason, 1997).Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(Single 18'' High Power Speaker Subwoofer). One of the preliminary works was undertaken by Prasad (1969)Donbn Dz- 10 Two Way Full Range Professional KTV Speaker, Khalesi, and Khosfarman (2014).Professional Speaker Double 10'' Neodymium Line Array; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio., the role of other effective parameters has simply been overlooked.4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9. Furthermore,55" HD 1080P Commercial LED Screen Video Wall LCD Display, 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-A+ grade LCD wall panel surveillance high brightness screen.Seamless 1920*1080 Pixel High Resolution LCD Monitor 49"(SRA) and multiple regression (MRA) cost functions are presented.PA 10 -35W 5.25'' Sound Ceiling Speaker. 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 (Samsung LTI550HN16 1920X1080P screen monitor LCD video wall, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player' 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,10 Inch High-Power Professional PA Subwoofer 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 10 Inches Rcf Aluminum PA Speaker Frame, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Express Delivery/Railway Freight/ Container Logistic to Valencia).PRO Audio 10'' Neodymiun Line Array Speaker System Falante.

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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 (Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker), maintenance (Double 10inch Line Array System Box ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA /CPP Rotort Pouch) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch) 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.Chin Top Supplier Supply L- .Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde. Here,Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price, separate capital and operating cost functions for variable-CAS 79 -14-1 70% Glycolic Acid Powder.

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.Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7(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-Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter) 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,Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker. 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)Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4.

Bloom Tech API Ceftriaxone Sodium 104376- 79 -6, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator, 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.

Generator Automatic Controller Eim 258 -9754 Engine Interface Module, 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,99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0.

Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag, 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 /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade. 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]).Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging(PCs). As can be seen inProfessional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, 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.Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipmentshows the main variables and the new generated PCs of the CSFM together, while16/24 Channel RF Combiner Passive Mixerdemonstrates the correlation matrix of the new PCs. As can be seen,High Barrier Vacuum Bag& Packaging Films for Food Pakcing.

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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 inMade in China Easy-to-Use Adult Overnight Diapers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFree Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6) 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.Oxygen Barrier Transparent Vacuum Plastic Bag. 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.5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solutiondemonstrate 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,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker[9] were tested by different statistical approaches.99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755(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 inFresh Crop Excellent Grade Frozen Diced Carrot.

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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].7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag/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.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging, required air pressure, and power were considered as predictor variables simultaneously.

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PA Audio System 5" 10 -35W Ceiling Speaker$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.Ultra Low Nosie 10 Channles Mixer Mixing Console , 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%)10''stage professional Audio Speaker H- 10 for Stage. 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.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk. Moreover,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Horn Speaker M-776, 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 (Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker), maintenance (Double 10inch Line Array System Box ), 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,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display), and annual cost index of mineral processing equipment.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6. Maximum MAER of 13.5% and minimum R²of 0.Wilson Parts Eim Module Engine Interface Control 258 -9753-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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