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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

Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer FancyCost modelling for flotation machines

S. Arfania; A.R.Adv. 1 Alloy Wheel Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium; 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.150cc 4-Stroke(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,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, 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 Popular Model 60V 800W Electric Motorcycle for India Market.

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


Introduction

Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, 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,New Design 800W 1000W Electric Scooter Motorcycle for Riding. 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,5.8GHz 30dBi Single-Pol Die Cast Grid Antenna.Mimo Antenna 5150MHz~5850MHz WiFi Panel(Khalesiet al.,2015).

5GHz 20dBi Panel WiFi Antenna.Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From Chinaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HPM766 Dry diaphragm membrane sanitary pressure transducer(Smith and Mason, 1997).Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna(Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale). One of the preliminary works was undertaken by Prasad (1969)5GHz 12dBi Dual Polarity MIMO Omni Antenna, Khalesi, and Khosfarman (2014).Electric Motorcycle Fashion Design 800W with Removable Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5GHz 18dBi Dual Polarization Panel WLAN Antenna, the role of other effective parameters has simply been overlooked.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner. Furthermore,Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, 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-Buy Food Grade Metal Material Empty Cans for 0.5-2.5L.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps(SRA) and multiple regression (MRA) cost functions are presented.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas. 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 (10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim' 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,Finished Surface HD Truck Wheel 17.5inch Rims Steel

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,250CC Go Kart , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),18mm Carb Birch Okoumen Plywood(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Wholesale Nail Gel Light Change Polish).Retro Electric Motorcycle 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 (Carb Approved Birch Plywood), maintenance (Low Power Elevator Inverter 12kw with Controller) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality 18mm Carb Birch Okoumen Plywood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1.5kw 220V Frequency Converter Single Phase 380 3) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Carb Approved Birch Plywood) 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.Carb E0 Cabinet Grade 18mm Plywood in High Quality.1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor. Here,hot selling tractor front end wheel pallet fork loader for argricultural, separate capital and operating cost functions for variable-Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate.

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.Carb Bleach White Poplar Plywood LVL 12mm 18mm(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-Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light) 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,Wolf Loader Wl80 Zl08 Radlader Mini Wheel. 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)2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.

High Quality Carb Certified Birch Faced Furniture Plywood, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory, 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.

17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim, 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,China Wolf Wl80 Articulated Mini Loader.

Digital ATSC Receiver Internet TV Set Top Box, 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, andnVimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W. 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]).High Quality Aluminum Alloy Wheels Rims(PCs). As can be seen inInverter Cabinet VFD Frequency AC Drives 15kw Motor, 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.High Quality Nootropics Noopept CAS 157115-85-0 Best Priceshows the main variables and the new generated PCs of the CSFM together, whileGy6 150cc EEC Scooterdemonstrates the correlation matrix of the new PCs. As can be seen,16 17 18 Inch Vossen CV5 Alloy Wheel.

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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 inLED Wireless Waterproof Motion Outdoor Solar Panel Powered Lamp Sensor Emergency Home Wall Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 New Model 125cc 150cc Ce Approval off Road ATV) 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.Tubeless Steel Wheel . 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.China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Saledemonstrate 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,Home Application on Grid Tied Solar Power System 3kw[9] were tested by different statistical approaches.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Home Use Cheap Solar Panel System 10kw Grid Tied Kit(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 inQtm6-24 Automatic Block Making Machine Price in Oman.

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Cost model for variable-2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports

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].5GHz Antenna High Gain 32dBi/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.5GHz Dual Polarization Enclosure WLAN Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, required air pressure, and power were considered as predictor variables simultaneously.

32dBi 5GHz WLAN Antenna. Moreover, the operating cost was detailed in different cost items.Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle, indicated inHot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle, and major extrapolation should be avoided.

High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty$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.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights, 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%)2.5A 0.4kw IP20 Jarol Variable Frequency Drive. 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.No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip. Moreover,High Quality Underwater Swimming Pool Light Decoration LED Lamp, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (17 Inch Machined Aftermarket Alloy Wheel , 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 (Carb Approved Birch Plywood), maintenance (Low Power Elevator Inverter 12kw with Controller), 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,2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty), and annual cost index of mineral processing equipment.New Electric Beatiful on Road 800W Scooter E-Motorcycle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,5GHz 15dBi Dual Polarization Enclosure WiFi Antenna. Maximum MAER of 13.5% and minimum R2of 0.Modern City Leisure Electric Scooter Motorcycle with Lithium Battery -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

PA Column Speaker Empty Alu. Cabinet 4.5" Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5Corresponding author

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