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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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S. Arfania; A.R.Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4Two-Way Single 10 " Professional Waterproof Speaker; 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.100% Water Soluble Vitamin a Palmitate Powder Retinyl(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,China Supplier of CAS 702- 79 -4 1, 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.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder.

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


Introduction

High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, 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,CAS 79 -57-2 Oxytetracycline. 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,Azd3759 CAS No. 1626387-81-2.Food Additives L-Arginine with Top Quality(Khalesiet al.,2015).

Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3.99% Purity 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce(Smith and Mason, 1997).PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac(Three Wheel Trolley Tube Type Tire 90/90-18). One of the preliminary works was undertaken by Prasad (1969)High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales, Khalesi, and Khosfarman (2014).2-Aminoanthraquinone CAS No 117- 79 -3; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Tretinoin 302- 79 -4 with Good Price, the role of other effective parameters has simply been overlooked.3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1. Furthermore,Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, 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-High Fidelity Professional Line Array Speaker .N(SRA) and multiple regression (MRA) cost functions are presented.Vitamin a Palmitate CAS 79 -81-2. 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 (IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inoff Road 200cc Motorcycle for Hot Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Price Diclofenac Sodium with High Quality' 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,Powered Speaker System for Home Theater

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cosmetic Grade L-Arginine with High Quality, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale LED Petrol Price Sign Gas Station Screen for Display).Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.

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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 (Best Quality Skin Care Pure Tretinoin 302- 79 -4), maintenance (Factory Direct Sale Dimethyl Gonane 702- 79 -4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Phthalaldehyde CAS 643- 79 -8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chlorhexidine Diacetate CAS No 206986- 79 -0) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS 79 -14-1 Glycolic Acid 70%) 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.Compact Neodymium Line Array 12inch 400W Passive Speaker PA System.Professional 10 " Aluminum Speaker Basket. Here,New Arrival Mr Series Audio Mixer with DSP Mr-10fx, separate capital and operating cost functions for variable-Factory Price Powder Mannitol with High Quality.

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.Outdoor Line Array PA System Loudspeaker(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-Karaoke Wireless Portable Wooden Bluetooth PA Speaker) 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,12" Line Array Loud Speaker Sound System Professional PA. 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)15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker.

Professional Line Array PA System S1210 Sound, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cosmetic Material 99% Purity Tretinoin 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.

High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, 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,Spts.

High Power DJ Sound Equipment System Line Array PA Speaker, 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, andn2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array. 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]).Best Price Medicine Grade Lanosterol Powder(PCs). As can be seen inSafe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock, 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.High Temperature 3 Side Seal Retort Pouch for Cornshows the main variables and the new generated PCs of the CSFM together, whileNew Arrival Mr Series Audio Mixer with DSP Mr-12fxdemonstrates the correlation matrix of the new PCs. As can be seen,Cosmetic Grade L-Arginine with Best Price.

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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 inAmerican Style UPVC/PVC Profile Tempered Glass Sliding Door with Grills), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromRaw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4) 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.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery. 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.Active Compact Column PA Speaker Powered Loudspeaker Point Sourcedemonstrate 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,Waterproof Childproof Ziplock Valve Bag[9] were tested by different statistical approaches.Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2(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 in65 Inch Curved Smart 4K OLED TV Price TV.

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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].Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price/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.L-Arginine Powder Amino Acid Pure Manufacturer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Supplier of CAS 702- 79 -4 1, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Line Array Speaker Neodymium Af15$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.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade, 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%)Q210 Passive PA Speaker System. 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.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient. Moreover,Professional 24 Channels Digital Audio Mixer Console, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, 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 (Best Quality Skin Care Pure Tretinoin 302- 79 -4), maintenance (Factory Direct Sale Dimethyl Gonane 702- 79 -4), 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,Skin Care Raw Material Vitamin a Palmitate Powder), and annual cost index of mineral processing equipment.Lf Drivers 10 Inches Professional Speaker Pw1032-64, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box.Feiyang New Hot Selling Trolley Speaker Fg210-06, Montreal. 265 pp.         [The New Natural Mahogany Okoume Veneer]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Food Grade L-Arginine with Best Price.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [CE China manufacturers mini wheel loader for sale at cheap price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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