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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

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

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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.46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player(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 Purity Amino Acid L-Arginine 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.High Efficiency 10inch Transducers PS10 for Best PA Speaker.

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


Introduction

Active 10 " Line Array with Calss-D Amplifier and Built-in DSP, 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,65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk. 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 High-Power Professional PA Subwoofer Speaker.Professional 10 Inches Rcf Aluminum PA Speaker Frame(Khalesiet al.,2015).

Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth.PRO Audio 10'' Neodymiun Line Array Speaker System Falanteet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer(Smith and Mason, 1997).Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker(Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw). One of the preliminary works was undertaken by Prasad (1969)Double 10inch Line Array System Box , Khalesi, and Khosfarman (2014).Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA /CPP Rotort Pouch, the role of other effective parameters has simply been overlooked.China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch. Furthermore,Chin Top Supplier Supply L- , 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-Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde.Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price(SRA) and multiple regression (MRA) cost functions are presented.CAS 79 -14-1 70% Glycolic Acid 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 (Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacturer Supply 1(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter' 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,Generator Automatic Controller Eim 258 -9754 Engine Interface Module

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hospital Doctor Nurse 3 Ply Non Woven Mouth Breathing Nose Face Virus Protective Surgical Medical Dust Disposable Mask).PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade.

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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 (Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging), maintenance (High Temperature Vacuum Retort Pouch for Food Packaging) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Barrier Vacuum Bag& Packaging Films for Food Pakcing) 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.Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags.Oxygen Barrier Transparent Vacuum Plastic Bag. Here,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, separate capital and operating cost functions for variable-DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755.

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.Fruit and Vegetables Packaging Materials Vacuum Nylon Bag(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-7 Layers or 9 11 Co-Extruded Freezer Food Storage 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,Professional Audio 350W Sound System Single 10 Inch PRO Line Array 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)Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker.

10 Inch High Quality PA Speaker 10tbx100, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Audio System 5" 10 -35W Ceiling Speaker, 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.

Ultra Low Nosie 10 Channles Mixer Mixing Console , 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,10''stage professional Audio Speaker H- 10 for Stage.

42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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, andn55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer. 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]).Horn Speaker M-776(PCs). As can be seen inDual 10inch Professional PRO Audio Speaker System, 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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Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6(CSFM) is presented here as an example.Light Duty Hand Held Boiler Pipe Tube Cutter Bevellerillustrates 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.Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scannershows the main variables and the new generated PCs of the CSFM together, while5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Liddemonstrates the correlation matrix of the new PCs. As can be seen,Wilson Parts Eim Module Engine Interface Control 258 -9753.

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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 inTwo Speed Adjust Frameless Door Floor Closer Spring HD 817), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGlobalipl RF Roller Vacuum Slimming Apparatus) 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 0.24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator. 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.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kwdemonstrate 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,Medrogestone Top Quality Low Price 977- 79 -7[9] were tested by different statistical approaches.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Supply High Quality Ademetionine 1(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 in300W LED Zoom Waterproof Rotating Gobo Logo Image Projection Projector.

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Cost model for variable-China Supplier 1

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].Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder/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.CAS: 79 -44-7 Dimethylcarbamoyl Chloride ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Purity Amino Acid L-Arginine Powder, required air pressure, and power were considered as predictor variables simultaneously.

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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 Tretinoin with Good Price . Moreover,Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755, 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 (Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging), maintenance (High Temperature Vacuum Retort Pouch for 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 Purity Organic Intermediate  1), and annual cost index of mineral processing equipment.Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control. Maximum MAER of 13.5% and minimum R2of 0.Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V-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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