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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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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Hot Sale Popular Model 60V 800W Electric Motorcycle for India MarketCost modelling for flotation machines

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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott 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,Yn725g Yineng Mini Front End Loader, 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.China Everun Er408 Small Loader Compact with Pallet Forks.

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


Yn725g 18.5 Kw/2, 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,1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. 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,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader.Yn725g Yineng Mini Wheel Loader(Khalesiet al.,2015).

CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader.3kw Solar Power System for Home Use on Gridet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Supply Disodium Phosphate Anhydrous Food Additive(Smith and Mason, 1997).Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS). One of the preliminary works was undertaken by Prasad (1969)Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader, Khalesi, and Khosfarman (2014).PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw, the role of other effective parameters has simply been overlooked.Yangtze Solar Power Grid Tied System Home 5kw 5K. Furthermore,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw(SRA) and multiple regression (MRA) cost functions are presented.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Metal Tin with Steel Handle for Paint, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps' 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,AC Fan Frequency Inverter VFD 3pH 15kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),AC Fan Frequency Inverter 3pH 7.5kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Two Storey Fire Resistance Pre-Engineering Panited Steel T Beam Structural Factory with Mezzanine).Inverter Cabinet VFD Frequency.

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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 (Inverter Cabinet VFD Frequency AC Drive 55kw), maintenance (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yangtze 100kw Grid Tied Portable Solar System Camping Component) 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.Yn725g Yineng Mini Wheel Loader.Roof Mounting Solar System 10kw off Grid Tied Power. Here,Screw Top Metal Tin Can, separate capital and operating cost functions for variable-a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels.

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.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House(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-Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) 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,Yn725g 18.5kw No Cabin Yineng Mini 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)Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.

5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin, 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.

Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price, 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,1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.

Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install, 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, andn6000W Single Phase Inverter Grid Tied Home Solar System. 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]).Complete Set 15kw Grid Tied Solar Power System(PCs). As can be seen inWaterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf, 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.2.4/ 5GHz 10dBi Rubber WiFi Antennashows the main variables and the new generated PCs of the CSFM together, whileDual 10 " 600W Line Array PA Professional Speaker demonstrates the correlation matrix of the new PCs. As can be seen,China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery.

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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 inSyris Standalone Touch LCD Display Controller), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from3ton Hydraulic Hand Pallet Truck Trolley Special) 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.World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple. 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.Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customizeddemonstrate 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,Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult[9] were tested by different statistical approaches.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult(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 inBaby Products Comfortable Diapers/Baby Diapers with Magic Tape.

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Cost model for variable-2021 Fashion Electric Mtorcycle 2000W Motor China

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 Dumper Wolf Wl80 Loader with CE/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.


Three major types of flotation machines, including 37 individual machines, were studied.Engine Oil Cans 4 Liter Motor Lubricating Tin Can; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725g Yineng Mini Front End Loader, required air pressure, and power were considered as predictor variables simultaneously.

Yn725 Gyineng Mini Wheel Loader. Moreover, the operating cost was detailed in different cost items.Solar Pump Frequency Inverter MPPT Fuction 0.75kw, indicated in20watt Mopa Laser Marking Machine for Anodized Aluminum Black, and major extrapolation should be avoided.

Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box$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.Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W, 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%)AC to Drive 380V Frequency Inverter 4kw. In the MRA cases, this property is owed to the SFM (3.05%).


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.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon. Moreover,2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V, 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 (Inverter Cabinet VFD Frequency AC Drive 55kw), maintenance (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader), 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,Small Fquequency Inverter/Converter for Mini Motor), and annual cost index of mineral processing equipment.1.5kw 1HP AC Frequency Inverter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock. Maximum MAER of 13.5% and minimum R2of 0.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin-feasibility and even feasibility study level of projects.


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Kim, G.H., An, S.H., and Kang, K.I. 2004.Residential Grid Tied 6kw Solar Power System for Home, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [1L Extra Virgin Olive Oil Metal Can with Cover]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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