GENERAL PAPERS

IN-A7 handheld color doppler linear probe hip bone ultrasound scannerCost modelling for flotation machines

S. Arfania; A.R.Food Grade Packaging Custom Print Laminated Stand up BagChinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc; 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.Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window(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,Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, 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 Packaging Bag.

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

Introduction

High Quality Coffee /Candy/Weed /Hemp Plastic Container, 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,Water Proof Child Coffee /Candy/Weed Plastic 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,10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer.Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(Khalesiet al.,2015).

Donbn Dz- 10 Two Way Full Range Professional KTV Speaker.Professional Speaker Double 10'' Neodymium Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Glycine Methyl Ester Hydrochloride (Smith and Mason, 1997).10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.(Plants Ammonium Sulphate Granular 20.5%Min). One of the preliminary works was undertaken by Prasad (1969)4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9, Khalesi, and Khosfarman (2014).55" HD 1080P Commercial LED Screen Video Wall LCD Display; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,A+ grade LCD wall panel surveillance high brightness screen, the role of other effective parameters has simply been overlooked.Seamless 1920*1080 Pixel High Resolution LCD Monitor 49". Furthermore,PA 10 -35W 5.25'' Sound Ceiling Speaker, 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-Samsung LTI550HN16 1920X1080P screen monitor LCD video wall.46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player(SRA) and multiple regression (MRA) cost functions are presented.High Purity Amino Acid L-Arginine Powder. 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 Efficiency 10inch Transducers PS10 for Best PA Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUsed for Brushing PA610 with High Tensile Strength(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Active 10 " Line Array with Calss-D Amplifier and Built-in DSP' 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,PRO Audio 10'' Neodymiun Line Array Speaker System Falante

►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 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Double 10inch Line Array System Box (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1125kVA/900kw Power Generator Diesel Engine Genset Set for Breeding Industry).Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin.

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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 (PA /CPP Rotort Pouch), maintenance (China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chin Top Supplier Supply L- .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price) 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.CAS 79 -14-1 70% Glycolic Acid Powder.Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7. Here,Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter, separate capital and operating cost functions for variable-Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range 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.Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4(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-Bloom Tech API Ceftriaxone Sodium 104376- 79 -6) 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,St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator. 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)Generator Automatic Controller Eim 258 -9754 Engine Interface Module.

99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag, 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.

PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade, 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,Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging.

High Temperature Vacuum Retort Pouch for Food Packaging, 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, andnOxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies. 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]).Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag(PCs). As can be seen inThinner Plain Color 1L Metal Can with Screw Cap, 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.Wl80 Mini Loader From Wolfshows the main variables and the new generated PCs of the CSFM together, whilePipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8demonstrates the correlation matrix of the new PCs. As can be seen,Professional Audio High Powerful Ka Dual 10inch DSP Active 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 inOutdoor Sport Waterproof Running Fitness Belt Waist Bag with Reflective), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Aluminum Alloy Wheels Rims) 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.Fruit and Vegetables Packaging Materials Vacuum Nylon 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.Srx715 Single 15" Speaker Cabinet PRO Audio Systemdemonstrate 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,7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag[9] were tested by different statistical approaches.Light Duty Hand Held Boiler Pipe Tube Cutter Bevellershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio 350W Sound System Single 10 Inch PRO 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 inAcid Dyes.

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Cost model for variable-Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA 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].10 Inch High Quality PA Speaker 10tbx100/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.PA Audio System 5" 10 -35W Ceiling Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, required air pressure, and power were considered as predictor variables simultaneously.

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42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk$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 0.55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, 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%)Horn Speaker M-776. 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.55 Inch Stand Alone Digital Photo Booth LCD Advertising Display. Moreover,Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6, 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 (PA /CPP Rotort Pouch), maintenance (China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch), 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,Wilson Parts Eim Module Engine Interface Control 258 -9753), and annual cost index of mineral processing equipment.Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator. Maximum MAER of 13.5% and minimum R²of 0.Medrogestone Top Quality Low Price 977- 79 -7-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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