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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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Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable BluetoothCost modelling for flotation machines

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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 4000W 70V Electric Scooter(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,4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, 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 0.18L Square Metal Tin Cans with Handle and Lid for Oil.

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


Introduction

Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, 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,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service. 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,Grid Tied 30kw Solar PV System for Shingle Roof.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale(Khalesiet al.,2015).

Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase.off Grid 5kw 10kw Solar Power Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin(Smith and Mason, 1997).Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof(High Speed Full Size Adult 800W Z1000 Electric Motorcycle). One of the preliminary works was undertaken by Prasad (1969)2013 Popular Electric Motorcycle 90km with Pedal CE , Khalesi, and Khosfarman (2014).Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wolf Loader Wl80 Radlader Without Cabin, the role of other effective parameters has simply been overlooked.Yn725g Approved Hot Sale Mini Wheel Loader Yn725. Furthermore,Er08 New CE Approved Small Shovel Loader, 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-Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader.Hot Sale Mini Wheel Loader Yn725g(SRA) and multiple regression (MRA) cost functions are presented.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm. 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 (Low Frequency Inverter AC Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Inverter Converter 50Hz 60Hz' 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,AC Drive Inverter Low Frequency Power

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),AC Drive Variable Drive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (D2 Bulb WiFi 360 Auto Rotation P2p Remote Control Survilliance Camera).China AC Drive Manufacturers.

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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 (China AC Drive Frequency Inverter Manufacturer Supplier), maintenance (Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1500W Electric Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Speed Electric Motorcycle Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bl-Xgz Electric Motorcycle) 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.Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android.Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger. Here,Bl-Xgw Electric Motorcycle, separate capital and operating cost functions for variable-Yineng Yn725 Mini Wheel Loader 18.5kw Cabin.

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.Yn725 Mini Small Perkins Engine Wheel Loader(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-21kw Grid- Tied Solar Power System with 25 Years Working Time) 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,Home Solar System 2kw Panel. 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)Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner.

5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use, 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.

Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use, 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,High Quality 5000W Grid Tied Solar Power Generation System Competitive Price.

843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, 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, andnElectric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H. 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]).Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike(PCs). As can be seen inFactory Direct Sale Polyamide PA Resin for Ink and Adhesives, 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.U Shape Chesterfield Sofashows the main variables and the new generated PCs of the CSFM together, whileCable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiverdemonstrates the correlation matrix of the new PCs. As can be seen,Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid.

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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 inStrong Elasticity PP Synthetic Rubber Sofa  Webbing  50mm), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGrowatt 50000W 60000W 70000W 80000W Grid Tied Solar Inverter) 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 0.7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container. 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.Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Batterydemonstrate 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,5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container[9] were tested by different statistical approaches.Wood Woven and Strand Bamboo Veneer Sheetsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725g Hot Sale Mini Wheel Loader(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 inNew Style of High Quality Stamp Aluminum Special Academic Arges Badges Lapel Pin.

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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].Good Quality Empty Metal Tin Paint Glue Cans/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.Everun 0.8ton Chinese Articulated Mini Wheel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, required air pressure, and power were considered as predictor variables simultaneously.

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Compact wheel loader snow pusher landscaping$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.Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle, 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%)Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse. 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.Frequency Drive Converter Solar Pump Inverter. Moreover,China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK, 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 (China AC Drive Frequency Inverter Manufacturer Supplier), maintenance (Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle), 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,Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter), and annual cost index of mineral processing equipment.China Single Phase Variable Frequency Inverter AC 220V, and over- extrapolation could result in misguiding estimates.

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USBM. 1987.Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults,Solar Inverter Pump Inverters 5.5kw-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Factory Custom Stuffed Cartoon Toy World Cup Mascot Plush Character]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aEougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel