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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

GENERAL PAPERS

Sanyou 125cc Efi System with Delivery Box Gas ScooterCost modelling for flotation machines

S. Arfania; A.R.Kas PRO Top 10inch Line Array Audio Speaker139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice; 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.Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4(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,Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, 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.Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker.

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


Introduction

LG 46" 49" 55" DVI LED video panel for monitoring, 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,Retinoic Acid CAS No. 302- 79 -4. 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,Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags.Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina 250cc New 3 Wheel Motorcycle Motor Tricycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10'' Ferrite Woofer Best Price Loudspeaker' 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,Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Lapel Pin Badge Manufacturer Metal Shiny Gold Plated Hard Enamel Pins).Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten.

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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 (Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5), maintenance (Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline) 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%.Peptide Cosmetics CAS 155149- 79 -4 Capixyl. Here,China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier, separate capital and operating cost functions for variable-100% Copper Wire St-1kw Single Phase Dynamo Factory Price.

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.China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9(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-37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display) 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,49" 450nits LG panel advertising LCD screen . 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)aluminium LCD wall panel surveillance flat display.

3X3 LCD wall panel surveillance digital display screen, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (AV input LCD wall panel 49inch surveillance monitors, 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.

LG panel 49" advertising rack , 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,55inch wall mount LCD panel surveillance LED video.

Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn, 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 LCD Video Wall Display with Controller. 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]).10inch Speaker for Music Bar PRO Audio Sound System(PCs). As can be seen in3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor, 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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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.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Containershows the main variables and the new generated PCs of the CSFM together, whileNo Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer.

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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 inInterlocking Kitchen Non-Slip Restaurant Spc Vinyl Flooring Tiles), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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 0.10inch Loudspeaker PA Speaker PRO Audio. 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.Professional Audio Loudspeaker PA Stage Active Line Arraydemonstrate 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,10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power[9] were tested by different statistical approaches.Professional Audio Speaker Double 10 Inch Line Array shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer 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 inHot sale china baby diaper maker.

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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].Professional Audio Speaker Dual 10 Inch Neodymium Line Array/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.Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, 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.Water Proof Child Coffee /Candy/Weed Plastic Container. Moreover,10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts, 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 (Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5), maintenance (Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality), 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,Donbn Dz- 10 Two Way Full Range Professional KTV Speaker), and annual cost index of mineral processing equipment.Professional Speaker Double 10'' Neodymium Line Array, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Manufacturer Supply 1High Quality Aluminum Alloy Wheels RimsCorresponding author

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