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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

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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.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(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,Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free, 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.PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker..

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


Introduction

Mixer Power Amplifier with USB, 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,Powered Line Array Active Stage 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,PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array.PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array(Khalesiet al.,2015).

PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood.Karaoke Speaker System Chinese KTV High Output Compact Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults(Smith and Mason, 1997).Coaxial Speaker TD10(High Quality Ammonium Dibutyl Dithiophosphate 95%). One of the preliminary works was undertaken by Prasad (1969)Professional Sound System Effects for Equipment Hire , Khalesi, and Khosfarman (2014).PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Outdoor Show Audio Lt12 Passive Line Array Speaker System, the role of other effective parameters has simply been overlooked.Karaoke Microphone Bluetooth Sound Mixer Video Conference. Furthermore,Outdoor Speaker Professional Audio Factory, 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-Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p.Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9(SRA) and multiple regression (MRA) cost functions are presented.1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. 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 (2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Selling Headset Bluetooth Wireless Headphone with Charger Case(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer Factory' 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,High Quality Skin Care Tretinoin Powder with Best Price

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Steer Pattern TBR Truck Size 295/80r22.5 315/80r22.5 Radial Steel Tube Tyre).Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch.

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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 (Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate), maintenance (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Passive Single 12'' Line Array Loudspeaker Sound System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use) 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.99% Proparacaine Hydrochloride / HCl CAS 5875-06-9.Professional Speaker PRO Audio System Compact Line Array PA Lq10. Here,Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1, separate capital and operating cost functions for variable-125541 -22-2 Piperidine 1-N-Boc-4- .

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.CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside(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-Blended Powder Oil Liquid Ripex 225 for Muscle Growth) 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,Good Effect for Treating Infertility in Women Clom CAS: 911-45-5. 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 Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205.

White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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.

Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive, 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,Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9.

Low Price Malonic Acid / Propanedioic CAS 141-82-2, 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, andn2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker. 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]).L-Arginine Nutritional Supplements  Arginine  Flavoring Agents(PCs). As can be seen inHigh Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride, 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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PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver,98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905(CSFM) is presented here as an example.800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Saleillustrates 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.Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Siloshows the main variables and the new generated PCs of the CSFM together, while0.8ton Compact Loader Wheel in Europedemonstrates the correlation matrix of the new PCs. As can be seen,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address.

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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 inClothing Trim Scrap Rotary Waste Leather Shoes PP Jumbo Bags Small Double Shaft Shredder), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620) 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.Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0. 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.Vectron Frequency Inverterdemonstrate 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,Vitamin a Palmitate 1.0m[9] were tested by different statistical approaches.Zl08 Wheel Loader Wl80 Wolf Minishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Purity 99% Oxalyl Chloride with Good Quality(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 inDipping Powder 3 in 1 Perfect Match Gel Polish.

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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].L-Pyroglutamic Acid/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.Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free, required air pressure, and power were considered as predictor variables simultaneously.

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China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price$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.Supply High Purity Oxalyl Chloride CAS: 79 -37-8, 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%)Fatory Supply Thiosemicarbazide CAS 79 -19-6. 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.High Quality Retinoic Acid . Moreover,High Quality 98% Tretinoin , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price, 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 (Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate), maintenance (Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier 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,Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier), and annual cost index of mineral processing equipment.Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Rifamycin S 96% CAS: 13553- 79 -2. Maximum MAER of 13.5% and minimum R2of 0.Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2-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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