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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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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.L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box(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,Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export, 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.Big 4000W 70V Electric Scooter.

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


Introduction

4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, 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,18L Square Metal Tin Cans with Handle and Lid for Oil. 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,Glue Tin Can with Plastic Lid / Square Metal Paint Sizes.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service(Khalesiet al.,2015).

Grid Tied 30kw Solar PV System for Shingle Roof.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1(Smith and Mason, 1997).Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase(Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate). One of the preliminary works was undertaken by Prasad (1969)off Grid 5kw 10kw Solar Power System, Khalesi, and Khosfarman (2014).Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2013 Popular Electric Motorcycle 90km with Pedal CE , the role of other effective parameters has simply been overlooked.Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale. Furthermore,Wolf Loader Wl80 Radlader Without Cabin, 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-Yn725g Approved Hot Sale Mini Wheel Loader Yn725.Er08 New CE Approved Small Shovel Loader(SRA) and multiple regression (MRA) cost functions are presented.Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader. 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 (Hot Sale Mini Wheel Loader Yn725g, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Speed Full Size Adult 800W Z1000 Electric Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm' 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,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Inverter, 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 Inverter Low Frequency Power(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Applique Fashion Embroidery Patch).0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump.

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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 (AC Drive Variable Drive), maintenance (China AC Drive Manufacturers) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China AC Drive Frequency Inverter Manufacturer Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1500W 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.High Speed Electric Motorcycle Scooter.Bl-Xgz Electric Motorcycle. Here,Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android, separate capital and operating cost functions for variable-Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger.

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.Bl-Xgw Electric Motorcycle(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-Yineng Yn725 Mini Wheel Loader 18.5kw Cabin) 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,Yn725 Mini Small Perkins Engine Wheel Loader. 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)21kw Grid- Tied Solar Power System with 25 Years Working Time.

Home Solar System 2kw Panel, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner, 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.

5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid, 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,Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use.

Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use, 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, andnHigh Quality 5000W Grid Tied Solar Power Generation System Competitive Price. 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]).843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage(PCs). As can be seen inArticulated Mini Wheel Loader Er08 Telescopic Boom, 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.Mini Handle Electric DOT Peen Marking Machineshows the main variables and the new generated PCs of the CSFM together, whileU Shape Chesterfield Sofademonstrates the correlation matrix of the new PCs. As can be seen,Frequency Converter AC Drive 220V Inverter China Variable Speed Controller.

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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 inHigh Quality Polycrystalline Diamond Wire Drawing Dies for Hard and Soft), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility) 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.Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid. 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.Sp-1000ap Ophthalmic a Scan and Pachymeterdemonstrate 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,Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap[9] were tested by different statistical approaches.Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container(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 inIndividually Addressable RGB 6W 8W 10W 12W LED Triac Dimmable Spotlight Lighting CCT Changing Indoor Down Light for Home WiFi.

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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].Yn725g Hot Sale Mini Wheel Loader/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.Articulated Loader Mini Compact Wheel with Shovel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export, required air pressure, and power were considered as predictor variables simultaneously.

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Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity$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 0.500ml Round Resealable Tin Can with Easy Open Screw Top Lid, 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%)Compact wheel loader snow pusher landscaping. 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.Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle. Moreover,Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Drive Converter Solar Pump Inverter, 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 (AC Drive Variable Drive), maintenance (China AC Drive Manufacturers), 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 E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle), and annual cost index of mineral processing equipment.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK, 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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