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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

Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging BagCost modelling for flotation machines

S. Arfania; A.R.Powered Speaker System for Home TheaterIP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty; 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.Cosmetic Grade L-Arginine with High Quality(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,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate, 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.Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.

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


Introduction

Best Quality Skin Care Pure Tretinoin 302- 79 -4, 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,Factory Direct Sale Dimethyl Gonane 702- 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,Phthalaldehyde CAS 643- 79 -8.Chlorhexidine Diacetate CAS No 206986- 79 -0(Khalesiet al.,2015).

CAS 79 -14-1 Glycolic Acid 70%.Compact Neodymium Line Array 12inch 400W Passive Speaker PA Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Melamine MDF E1 E0 Carb P2 Grade(Smith and Mason, 1997).Professional 10 " Aluminum Speaker Basket(Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter). One of the preliminary works was undertaken by Prasad (1969)New Arrival Mr Series Audio Mixer with DSP Mr-10fx, Khalesi, and Khosfarman (2014).Factory Price Powder Mannitol with High Quality; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Outdoor Line Array PA System Loudspeaker, the role of other effective parameters has simply been overlooked.Karaoke Wireless Portable Wooden Bluetooth PA Speaker. Furthermore,12" Line Array Loud Speaker Sound System Professional PA, 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-15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker.Professional Line Array PA System S1210 Sound(SRA) and multiple regression (MRA) cost functions are presented.Cosmetic Material 99% Purity Tretinoin 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 Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Spts' 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 Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cosmetic Grade L-Arginine with Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (625kVA/500kw Power Generator Set Diesel Engine Genset Powered by Cummins).Anti-Wrinkle and Aging Chemical Raw Materials.

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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 (High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery), maintenance (Waterproof Childproof Ziplock Valve Bag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole 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.L-Arginine Powder Amino Acid Pure Manufacturer.White Powder Vitamin a for Food and Feed Grade. Here,Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol, separate capital and operating cost functions for variable-Professional Line Array Speaker Neodymium Af15.

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.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade(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-Q210 Passive PA Speaker System) 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,Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient. 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)Professional 24 Channels Digital Audio Mixer Console.

100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Skin Care Raw Material Vitamin a Palmitate Powder, 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.

Lf Drivers 10 Inches Professional Speaker Pw1032-64, 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,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial.

Made in China PA Speaker System Three Way Loudspeakers, 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, andnLine Array Speaker Professional PA System Two Way Full Rang Passive . 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]).Pyridinecas Number 110//86//1 Used as Chemical Reagent(PCs). As can be seen inYn725g Yineng Mini Wheel Loader, 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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P-Toluenesulfinic Acid Sodium Salt Hydrate ,Bloom Tech Chemical Reagent Bis (CSFM) is presented here as an example.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forkliftillustrates 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.5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motorshows the main variables and the new generated PCs of the CSFM together, while0.75kw-11kw Three Phase 380V Frequency Inverter VFDdemonstrates the correlation matrix of the new PCs. As can be seen,Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7.

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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 inWholesale Incense Natural 1.3mm Diameter Disposable Moso Bamboo Stick), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood) 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.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic. 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.Motor Electronic Power Frequency Converter 380V 2.2kwdemonstrate 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,Factory Supply 99% Dexketoprofen Trometamol Powder[9] were tested by different statistical approaches.Overseas Warehouse Fast Delivery Organic Chemicals shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth (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 inClassic Indigenous Appliques.

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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].Feiyang New Hot Selling Trolley Speaker Fg210-06/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.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate, 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.Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1. Moreover,Retinoic Acid CAS 302- 79 -4 in Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, 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 (High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery), maintenance (Waterproof Childproof Ziplock Valve Bag), 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,ISO Certified 100% Natural L-Arginine Powder), and annual cost index of mineral processing equipment.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.10 " Dia Cast Aluminum Professional Subwoofer Basket.Food Packaging Vacuum Pouch.Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, Montreal. 265 pp.         [125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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