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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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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.High Temperature Vacuum Retort Pouch for Food Packaging(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,Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies, 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.Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag.

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


High Barrier Vacuum Bag& Packaging Films for Food Pakcing, 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,Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags. 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,Oxygen Barrier Transparent Vacuum Plastic Bag.Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker(Khalesiet al.,2015).

DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755.Fruit and Vegetables Packaging Materials Vacuum Nylon Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink(Smith and Mason, 1997).7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag(4-20mA Micro Air Gas Differential Pressure Sensor Transducer). One of the preliminary works was undertaken by Prasad (1969)Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker , Khalesi, and Khosfarman (2014).Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10 Inch High Quality PA Speaker 10tbx100, the role of other effective parameters has simply been overlooked.PA Audio System 5" 10 -35W Ceiling Speaker. Furthermore,Ultra Low Nosie 10 Channles Mixer Mixing Console , 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-10''stage professional Audio Speaker H- 10 for Stage.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk(SRA) and multiple regression (MRA) cost functions are presented.55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Horn Speaker M-776, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAlcohol Benzene Polyamide Ink Resin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;55 Inch Stand Alone Digital Photo Booth LCD Advertising Display' 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,24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Medrogestone Top Quality Low Price 977- 79 -7, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Supply High Quality Ademetionine 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cleace Brand 260g Hand Washing Liquid).China Supplier 1.

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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 (Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder), maintenance (CAS: 79 -44-7 Dimethylcarbamoyl Chloride ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Good Quality CAS: 97240- 79 -4 Topiramate Powder 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.High Purity 99% Intermediate 1.Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder. Here,High Quality Tretinoin with Good Price , separate capital and operating cost functions for variable-Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin.

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.Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755(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 Organic Intermediate  1) 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,Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine. 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)Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control.

Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V, 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.

5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator, 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,Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753.

Engine Controller Model Eim Basic 258 -9756, 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, andnGenerator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755. 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]).Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754(PCs). As can be seen inTechnical Wood Veneer MDF Boards for Cupboard, 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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China Supplier 1,100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (CSFM) is presented here as an example.Melamine MDF E1 E0 Carb P2 Gradeillustrates 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.S32750 Uns Super Duplex Stainless Steel Barshows the main variables and the new generated PCs of the CSFM together, whileWolf 0.8t 800kg Mini Loader with Euro 3 Enginedemonstrates the correlation matrix of the new PCs. As can be seen,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator.

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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 inCheap Hot Selling Disposable Hotel Toothbrush), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSrx725 Dual 15" PRO Audio Speaker Box) 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 0.20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator. 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.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Candemonstrate 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,20kVA St Series Single Phase Generator [9] were tested by different statistical approaches.High-Performance Three Phase Frequency Converter 380V 50/60Hzshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.(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 inBlue and White Non Woven Fabric Surgical Mask for Medical Use Hospital Ear Loop with Bfe99 Melt-Blown.

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Cost model for variable-7.5kVA St Series Single Phase Generator

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].Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio/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.


Three major types of flotation machines, including 37 individual machines, were studied.2 Way Passive 10 " Professional PRO Audio PA Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies, required air pressure, and power were considered as predictor variables simultaneously.

Stc Series Three Phase Dynamo Generator . Moreover, the operating cost was detailed in different cost items.China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder, indicated inCAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink, and major extrapolation should be avoided.

Stc Series Three Phase Dynamo Generator $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.CAS: 74- 79 -3 Amino Acid L-Arginine, 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%)Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic. In the MRA cases, this property is owed to the SFM (3.05%).


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.St-10kw/kVA Single Phase Brush Type Electric Generator. Moreover,Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2, 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 (Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder), maintenance (CAS: 79 -44-7 Dimethylcarbamoyl Chloride ), 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,100% Copper Wire St-7.5kw Single Phase Alternator Factory Price), and annual cost index of mineral processing equipment.100% Copper Wire St-5kw Single Phase Brush Generator, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Home Theater Speaker. Maximum MAER of 13.5% and minimum R2of 0.Dual 6" Coaxial Full Range Speaker for Entertainment Room-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Yangtze Solar Power Grid Tied System Home 5kw 5K]

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Khalesi, M. R., Zarei, M. J.,Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-St-2kw 230V/50Hz Single Phase Brush Alternator for Sale.Minerals Engineering,vol. 81. pp. 103-108.         [Fruit and Vegetables Packaging Materials Vacuum Nylon Bag]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Face Veneer Nature Bamboo for Fancy Plywood]

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Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio,vol. 115. pp. 789-797.         [5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Android Digital Signage Intelligent Hand Sanitizer Display, Montreal. vol.13. 166 pp.         [G80 Clevis Sling Hooks with Latch]

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Noakes, M. and Lanz, T. 1993.High Brightness Stand Alone Advertising Kiosk for Government.Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture, Carlton, victoria. 412 pp.         [China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Wholesale Varnish Lacquer 8ml Nail Gel Polish Manicure]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

10 Inch Sound System Speaker Box China Line Array Audio SystemsTransparent Ceramics Hot Press Sintering FurnaceCorresponding author

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