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On-line version ISSN2411-9717
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound ScannerCost modelling for flotation machines

S. Arfania; A.R.Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid; 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.Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price(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,CAS 79 -14-1 70% Glycolic Acid Powder, 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.Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7.

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


Introduction

Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter, 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,Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range 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,Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4.Bloom Tech API Ceftriaxone Sodium 104376- 79 -6(Khalesiet al.,2015).

St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator.Generator Automatic Controller Eim 258 -9754 Engine Interface Moduleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Empty Lubricant Oil Tin Can Packaging for Motor(Smith and Mason, 1997).99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0(Hot Sale Mini High Frequency 25kw Induction Heater Price). One of the preliminary works was undertaken by Prasad (1969)Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag, Khalesi, and Khosfarman (2014).PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging, the role of other effective parameters has simply been overlooked.High Temperature Vacuum Retort Pouch for Food Packaging. Furthermore,Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies, 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-Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag.High Barrier Vacuum Bag& Packaging Films for Food Pakcing(SRA) and multiple regression (MRA) cost functions are presented.Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags. 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 (Oxygen Barrier Transparent Vacuum Plastic Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Quadrant Shower Enclosure with One Pivot Door(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker' 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,Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA 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,10 Inch High Quality PA Speaker 10tbx100, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PA Audio System 5" 10 -35W Ceiling Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Noctilucent Murano Glass Beads Charm Bracelet Pendant Custom Color).Ultra Low Nosie 10 Channles Mixer Mixing Console .

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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 (10''stage professional Audio Speaker H- 10 for Stage), maintenance (42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Horn Speaker M-776) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (55 Inch Stand Alone Digital Photo Booth LCD Advertising Display) 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.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk.USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6. Here,Wilson Parts Eim Module Engine Interface Control 258 -9753, separate capital and operating cost functions for variable-Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson.

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.24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator(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-Medrogestone Top Quality Low Price 977- 79 -7) 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,Factory Supply High Quality Ademetionine 1. 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)China Supplier 1.

Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS: 79 -44-7 Dimethylcarbamoyl Chloride , Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt.

Good Quality CAS: 97240- 79 -4 Topiramate Powder Price, 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).

whereCeis the estimated cost,Cathe actual cost, andnHigh Purity 99% Intermediate 1. 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]).Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder(PCs). As can be seen inHorn Speaker M-776, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin,Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755(CSFM) is presented here as an example.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0illustrates 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 Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2shows the main variables and the new generated PCs of the CSFM together, whileKas 12 3 Way Sound System Line Array PRO Speakers with Subwooferdemonstrates the correlation matrix of the new PCs. As can be seen,High Purity Organic Intermediate  1.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inNatural Sandstone Wall Tile China Stacked Stone Veneer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorbicycle with Efi Fuel Supply and Steel Tube Frame) 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.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control. 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.Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtubdemonstrate 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,Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V[9] were tested by different statistical approaches.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Suppliershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V(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 inLow Price 10HP Copeland Scroll Air Conditioner Compressor Model Zf33K4e-Twd- 551 for Chiller.

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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].Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753/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.Engine Controller Model Eim Basic 258 -9756; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS 79 -14-1 70% Glycolic Acid Powder, required air pressure, and power were considered as predictor variables simultaneously.

Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755. Moreover, the operating cost was detailed in different cost items.Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754, indicated inMotor Cargo Tricycle for 2-3ton Loader, and major extrapolation should be avoided.

100% Copper Wire St Series Single Phase Generator / Alternator $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.China Supplier 1, 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%)100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator . 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.Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator. Moreover,24kVA St Series Single Phase Generator , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator, 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 (10''stage professional Audio Speaker H- 10 for Stage), maintenance (42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk), 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,20kVA St Series Single Phase Generator ), and annual cost index of mineral processing equipment.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box., and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,7.5kVA St Series Single Phase Generator . Maximum MAER of 13.5% and minimum R2of 0.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio-feasibility and even feasibility study level of projects.

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Prasad, L. 1969.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio.Android Digital Signage Intelligent Hand Sanitizer Display, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player]

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USBM. 1987.New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set,LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Modern 5mm Spc Flooring for Library]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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