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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.Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer FactoryRaw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory; 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.80%-90% Lactic Acid CAS 598-82-3 L-Lactic(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,PRO Audio PA Speaker , 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.Top Quality Tretinoin Powder  Retinoic Acid for Skin Care.

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


Introduction

TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof, 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,High Quality Skin Care Tretinoin Powder with Best Price. 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,Professional Speker System 12 Inch PA Line Array Audio S1210.Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36(Khalesiet al.,2015).

Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor(Smith and Mason, 1997).Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker(New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620). One of the preliminary works was undertaken by Prasad (1969)Passive Single 12'' Line Array Loudspeaker Sound System, Khalesi, and Khosfarman (2014).TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use, the role of other effective parameters has simply been overlooked.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9. Furthermore,Professional Speaker PRO Audio System Compact Line Array PA Lq10, 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-Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1.125541 -22-2 Piperidine 1-N-Boc-4- (SRA) and multiple regression (MRA) cost functions are presented.CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside. 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 (Blended Powder Oil Liquid Ripex 225 for Muscle Growth, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCAS 81-48-1 Solvent Violet 13 for Dyestuff Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Good Effect for Treating Infertility in Women Clom CAS: 911-45-5' 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,Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Low Price Malonic Acid / Propanedioic CAS 141-82-2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Distributor Men's Travel Shoulder Hiking Bag Notebook Business Laptop Backpack).L-Arginine Nutritional Supplements  Arginine  Flavoring Agents.

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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 (Indoor DJ Stage Two Way Active Line Array Cabinet Box), maintenance (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Glycine Methyl Ester Hydrochloride ) 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.Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0.Vitamin a Palmitate 1.0m. Here,High Purity 99% Oxalyl Chloride with Good Quality, separate capital and operating cost functions for variable-2-Cyclohexylethanol .

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.L-Pyroglutamic Acid(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-Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !) 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,Vitamin a Palmitate Powder 500 Cws-Gfp. 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)L-Pyroglutamic Acid.

China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Supply High Purity Oxalyl Chloride CAS: 79 -37-8, 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.

Fatory Supply Thiosemicarbazide CAS 79 -19-6, 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,High Quality Retinoic Acid .

High Quality 98% Tretinoin , 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, andnSelling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price. 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]).Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier(PCs). As can be seen inZl08 Wheel Loader Wl80 Wolf Mini, 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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Rifamycin S 96% CAS: 13553- 79 -2,Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2(CSFM) is presented here as an example.Frequency Converter 0.5 HPillustrates 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.2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forkliftshows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter 60Hz 50Hz 150HPdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade.

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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 inIP65 All in One Solar Garden Lighting for Outdoor), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer) 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.Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6. 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.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wooddemonstrate 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,High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2[9] were tested by different statistical approaches.China Tl08 Mini Wheel Loader with Low Price for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier(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 inLuggage Strap Rope.

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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].Potassium 2/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.PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PRO Audio PA Speaker , required air pressure, and power were considered as predictor variables simultaneously.

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Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2$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.Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2, 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%)Professional Speaker System Single 15 Inch High Power Line Array Aw15. 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.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio. Moreover,Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hench Hot Sales Raw Material Powder Oxytetracycline, 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 (Indoor DJ Stage Two Way Active Line Array Cabinet Box), maintenance (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver), 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,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020), and annual cost index of mineral processing equipment.Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship. Maximum MAER of 13.5% and minimum R2of 0.High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates-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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