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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.HPM128 High stability Explosion-proof Pressure Transmitte(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,Compressor Low Cost Small Type Pressure Transducer, 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.Hot Sale Motorcycle with 150cc Gy6 Engine.

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


Introduction

HPM766 Dry diaphragm membrane sanitary pressure transducer, 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,150cc Gy6 Engine Gasoline Scooter. 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,Gy6 Engine 150cc Scooter.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;EEC Euro 5 Gy6 -125cc Motorcycle Scooters' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gy6 150cc Gasoline Scooter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Zongshen 150cc Cargo Tricycle with Top Cover(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Add to Comparesharee Cig Wholesale Vape Disposable Electronic Cigarette Shenzhen 300 Puffs).Gy6 150cc Gas Scooter.

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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 (150cc 5 Speeds Forwader ATV 4 Wheelers Farm ), maintenance (150cc Gy6 Engine Automatic ATV Sports Quad Bike) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling Electric Race Vietnam Motorcycle Tire .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gy6 150cc Gasoline Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme) 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.Gy6 -50cc Scooter.China 150cc Gy6 Gasoline Scooter. Here,Euro 4 Certificate, separate capital and operating cost functions for variable-2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.

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.High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light(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-150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.) 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,High Performance Motorcycle Tire for Senegal . 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)Double Rear Tyre Tricycle with 300cc Water Cooling Engine.

300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,300cc Five Wheel Gas Cargo 3 Motorcycle for Adults .

Portable Automatic Ultrasound Bone Analyzer Densitometer, 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, andn300cc New Classic Cheap Cargo Tricycle . 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]).Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 (PCs). As can be seen inRaw Petro High Temperature Sapphire Pressure Transmitter, 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.10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofershows the main variables and the new generated PCs of the CSFM together, whileWholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.

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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 inWholesale Cheap Long Needle Lapel Pin), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMetal Cans 0.925 Liter Tin Barrel for Packaging Container) 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 0.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon. 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.High Quality Cheap 200cc and 150cc Farm Utility ATVdemonstrate 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,Flexible Label Laser Marking Machine for Airbag Warning Labels[9] were tested by different statistical approaches.Bi-Directional Transmission Distribution Amplifier SA822shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe(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 inPolo Shirts Women Men 100% Cotton Ladies T-Shirtmen.

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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].Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125/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.30W Bird Rings Machine Laser Marker with Rotation Working Table; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Compressor Low Cost Small Type Pressure Transducer, 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.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use. Moreover,4u 16 in 1 Agile CATV RF Modulator Channels, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Thinner Plain Color 1L Metal Can with Screw Cap, 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 (150cc 5 Speeds Forwader ATV 4 Wheelers Farm ), maintenance (150cc Gy6 Engine Automatic ATV Sports Quad Bike), 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,Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container), and annual cost index of mineral processing equipment.HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic, 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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