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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

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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.1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free(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,2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7, 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.Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory.

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


Introduction

80%-90% Lactic Acid CAS 598-82-3 L-Lactic, 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,PRO Audio PA Speaker . 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,Top Quality Tretinoin Powder  Retinoic Acid for Skin Care.TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof(Khalesiet al.,2015).

High Quality Skin Care Tretinoin Powder with Best Price.Professional Speker System 12 Inch PA Line Array Audio S1210et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wolf Wl80 Mini Radlader Hoflader with Forks in Farm(Smith and Mason, 1997).Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36(Mini Private Design Tws True Wireless Stereo Headphone for Huawei). One of the preliminary works was undertaken by Prasad (1969)Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch, Khalesi, and Khosfarman (2014).Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker, the role of other effective parameters has simply been overlooked.Passive Single 12'' Line Array Loudspeaker Sound System. Furthermore,TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address, 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-TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9(SRA) and multiple regression (MRA) cost functions are presented.Professional Speaker PRO Audio System Compact Line Array PA Lq10. 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 (Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSport Using Motor Vehicle with Sealed Chain Final Drive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;125541 -22-2 Piperidine 1-N-Boc-4- ' 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,White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hongfa 4-15D Paving Block Making Machine).Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9.

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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 (Low Price Malonic Acid / Propanedioic CAS 141-82-2), maintenance (2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,L-Arginine Nutritional Supplements  Arginine  Flavoring Agents.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Indoor DJ Stage Two Way Active Line Array Cabinet Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver) 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.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905.Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address. Here,Glycine Methyl Ester Hydrochloride , separate capital and operating cost functions for variable-Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0.

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.Vitamin a Palmitate 1.0m(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-High Purity 99% Oxalyl Chloride with Good Quality) 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,2-Cyclohexylethanol . 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.

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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.

L-Pyroglutamic Acid, 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,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price.

Supply High Purity Oxalyl Chloride CAS: 79 -37-8, 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, andnFatory Supply Thiosemicarbazide CAS 79 -19-6. 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]).High Quality Retinoic Acid (PCs). As can be seen inMotor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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.Dare 10inch Passive Line Array Sound Systemshows the main variables and the new generated PCs of the CSFM together, whileSingle 10 Inch Active Speaker PS10r2 PA Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free.

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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 inMulti- Storey Construction Design Prefabricated Steel Structure Warehouse), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWolf Wl80 Mini Dumper Euro 5 Loader for Sale) 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.Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2. 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.Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucketdemonstrate 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 Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade[9] were tested by different statistical approaches.Food Packaging Vacuum Pouchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Outdoor PA System Three-Way Large Touring Performance Line Array 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 inQtm6-24 Germany Technology Moving Block Making Machine of High Quality.

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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].High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2/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.Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7, 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.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2. Moreover,Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Speaker System Single 15 Inch High Power Line Array Aw15, 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 (Low Price Malonic Acid / Propanedioic CAS 141-82-2), maintenance (2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker), 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,PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio), and annual cost index of mineral processing equipment.Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates.Minerals Engineering,vol. 81. pp. 103-108.         [45kw Mf Induction Heating Machine Heater]

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Mular, A.L. 1982.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9.Safe Shipping with Good Price Tretinoin Powder.Dpc Diphenyl Carbonate CAS 102-09-0, Montreal. 265 pp.         [4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4.100% Water Soluble Vitamin a Palmitate Powder Retinyl.Dpc Diphenyl Carbonate CAS 102-09-0, Montreal. 319 pp.         [Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch]

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Noakes, M. and Lanz, T. 1993.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder.High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, Carlton, victoria. 412 pp.         [Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System]

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Vitamin a Palmitate Powder 500 Cws-Gfp, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10Corresponding author

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