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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

Scooter with Stable Function and Nice Outside LookingCost modelling for flotation machines

S. Arfania; A.R.5GHz 23dBi Enclosure WLAN Antenna24watt New RGB Cool White Warm LED Underwater Swimming Pool Light; 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.16" Inch Steel Wheel for Toyota Prado Land Cruiser(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,off Road 200cc Motorcycle for Hot Sale, 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.off Load 150cc Motorcycle with High Speed.

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


Introduction

China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter, 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,China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery. 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,Linux TV Box International Internet Smart IPTV Zgemma I55.Replica Aluminum Alloy Wheels for BMW(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Size Water Differential Pressure Sensor for HVAC(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),350cc Motorcycle with Double-Cylinder & Water-Cooled Engine (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Energy Safe Acrylic Base Back Side Light Stainless Steel 3D Decorative Letters).Popular Medical Device Automatic Bone Densitometer.

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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 (Diesel Cargo Three Wheel Tricycle for Sale From China), maintenance (Diesel Dump Central Steering Drive Three Wheeler From China for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Diesel Three Wheel Tricycle with Sunshade.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (One and Half Rows Three Wheeler for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc) 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.Adult 800W Power Electric Scooter Suit for Woman.800W Electric Motorbike with Front Disc Brake. Here,Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, separate capital and operating cost functions for variable-dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.

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.350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model(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-800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle) 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,New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power. 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)5GHz 30dBi Grid Parabolic Antenna .

5GHz Dish Parabolic Antenna 29dBi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2.4/ 5GHz Dual Band H-Pol Sector Antenna, 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.

Electric Dirt Bike Zm-Es18 with 500W- 800W Motor, 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,5GHz 20dBi Enclosure WLAN Antenna.

5GHz 45deg Dual Pol Sector Antenna, 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, andn5GHz 23dBi Enclosure WiFi Antenna. 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]).5GHz Dual Pol Sector Antenna with Enclosure (PCs). As can be seen inCheap Popular Pattern 3.00-18 Motorcycle Tyre, 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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5GHz 18dBi Dual Polarization Sector WiFi Antenna,18W RGB Resin Filled LED Surface Mounted Underwater Pool Light(CSFM) is presented here as an example.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakersillustrates 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.DSP Active Line Array Speakershows the main variables and the new generated PCs of the CSFM together, whileCovered Tricycle Carriage Closed Cargo Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Poplar Film Faced Plywood Board with Carb Certificate.

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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 inPretty Soft Plush Dog Toy), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Sale Big Pickup Tricycle with 300cc Water Cooled Engine) 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.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System. 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.Professional Audio Speaker Dual 10 Inch Neodymium Line Arraydemonstrate 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,E1 Glue Malamine Mositure-Proof MDF with Carb Certification[9] were tested by different statistical approaches.Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports(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 inHigh Quality No. 5 Nylon Long Chain Zipper.

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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].Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale/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.30kw Grid Tied Solar Power System Home Popular in Philippines; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,off Road 200cc Motorcycle for Hot Sale, required air pressure, and power were considered as predictor variables simultaneously.

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50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter$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 0.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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%)150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry. 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.14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims. Moreover,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (300cc Cargo Tricycle of Asia Market, 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 (Diesel Cargo Three Wheel Tricycle for Sale From China), maintenance (Diesel Dump Central Steering Drive Three Wheeler From China for Sale), 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,Building Material Commercial Plywood with Carb to Europe), and annual cost index of mineral processing equipment.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New. Maximum MAER of 13.5% and minimum R2of 0.Portable Laptop Digital Automatic Ultrasound Bone Densitometer-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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