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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

Dimethylthiotoluene DiamineCost modelling for flotation machines

S. Arfania; A.R.Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye2ND Generation Ultrasound Bone Densitometer; 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.Ophthalmic a Scan and Pachymeter Combined Unit(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,Ophthalmic Optical Pachymeter & Biometer / a Scan , 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 0.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier.

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


Introduction

Roadside Emergency Set Auto Car Tool Kit, 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,SA831r Outdoor Return Path CATV Trunk Amplifier. 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,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.Portable Induction Heater for Crystal Growth(Khalesiet al.,2015).

Dry diaphragm membrane sanitary pressure transducer.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gold Dust Collector Cement Filter Bag(Smith and Mason, 1997).High Frequency Induction Heater (CAS: 74- 79 -3 Amino Acid L-Arginine). One of the preliminary works was undertaken by Prasad (1969)Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace, Khalesi, and Khosfarman (2014).Softel 4u 12 Channel Agile CATV Analog RF Modulator; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool, the role of other effective parameters has simply been overlooked.Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car. Furthermore,High Quality Melamine MDF with Competitive Price Ce Carb Grade, 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-Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF.The Best Sale and Low Price Chinese Brake Lathe (SRA) and multiple regression (MRA) cost functions are presented.Melamine MDF E1 E0 Carb P2 Grade. 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 (Transparent Ceramics Hot Press Sintering Furnace, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;6mm Raw Plain MDF ISO9001/ Carb for Decoration' 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,GAS Wind Pressure Transmitter with Data Display

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Coconut Shell Carbon Charcoal Making Machines Production Line(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3ply Earloop Tie on Disposable Non Woven Medical Face Mask Surgical).2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board.

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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 (Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head), maintenance (Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Glue E1 Carb Plain Mositure-Proof MDF.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Draught Fan Digital LED Micro Air Wind Pressure Sensor) 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.HPM128 High stability Explosion-proof Pressure Transmitte.Compressor Low Cost Small Type Pressure Transducer. Here,Hot Sale Motorcycle with 150cc Gy6 Engine, separate capital and operating cost functions for variable-HPM766 Dry diaphragm membrane sanitary pressure transducer.

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.150cc Gy6 Engine Gasoline Scooter(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-Gy6 Engine 150cc Scooter) 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,Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip. 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)Digital Display Superior 316L integrated Pressure Transducer.

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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.

Gy6 125cc Sproty Scooter /Motorcycle, 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,Top Grade Cross-Country Motorcycle Tire 120/90-18.

Gy6 Engine 150cc Gasoline Scooter for Adults, 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, andnFlat film Clamp Hygienic Pressure Sensor Transmitter. 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]).Steel Wheel Hub Buggy 150cc ATV(PCs). As can be seen inYj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China, 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.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker shows the main variables and the new generated PCs of the CSFM together, while5kw Solar PV Kit Power Gird Tied Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale.

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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 inAutomatic Hamburger Patty Meat Pie Former Maker), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio) 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.Gy6 Engine Gas Scooter. 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.Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5demonstrate 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,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV[9] were tested by different statistical approaches.Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmarshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 -50cc OEM Gas Scooter(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 inPolished Surfacesquartz Stone Slab with NSF SGS Certification.

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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].Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids/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.Gy6 150cc Gasoline Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ophthalmic Optical Pachymeter & Biometer / a Scan , required air pressure, and power were considered as predictor variables simultaneously.

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150cc 5 Speeds Forwader ATV 4 Wheelers Farm $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 0.150cc Gy6 Engine Automatic ATV Sports Quad Bike, 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%)Hot Selling Electric Race Vietnam Motorcycle Tire . 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.Gy6 150cc Gasoline Scooter. Moreover,No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gy6 -50cc Scooter, 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 (Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head), maintenance (Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw), 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,China 150cc Gy6 Gasoline Scooter), and annual cost index of mineral processing equipment.Euro 4 Certificate, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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