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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

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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.5GHz 20dBi Panel WiFi Antenna(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,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China, 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 2.4/ 5GHz 9dBi Rubber WiFi Antenna.

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


Introduction

5GHz 12dBi Dual Polarity MIMO Omni Antenna, 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,Electric Motorcycle Fashion Design 800W with Removable 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,5GHz 18dBi Dual Polarization Panel WLAN Antenna.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (250CC Go Kart , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;18mm Carb Birch Okoumen Plywood' 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,1.5kw 220V Frequency Converter Single Phase 380 3

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Carb Approved Birch Plywood, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Carb E0 Cabinet Grade 18mm Plywood in High Quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Chinese Style Bedroom Pendant Lamp Study Room Chandelier Living).1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor.

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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 (hot selling tractor front end wheel pallet fork loader for argricultural), maintenance (Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Carb Bleach White Poplar Plywood LVL 12mm 18mm.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wolf Loader Wl80 Zl08 Radlader Mini Wheel) 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.2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.High Quality Carb Certified Birch Faced Furniture Plywood. Here,UV Birch Plywood with Poplar Core Carb E0 Glue From Factory, separate capital and operating cost functions for variable-17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim.

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.China Wolf Wl80 Articulated Mini 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-Digital ATSC Receiver Internet TV Set Top Box) 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,Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W. 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)High Quality Aluminum Alloy Wheels Rims.

Truck Rim Steel Polished 17.5 Inch Wheel, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sunpal 150kw Solar Grid Tied System Low Price, 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.

5GHz 19dBi Enclosure WLAN Antenna, 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,16 17 18 Inch Vossen CV5 Alloy Wheel.

VFD Air Compressor Asynchronous Variable Frequency Drive, 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, andnTubeless Steel Wheel . 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]).Home Application on Grid Tied Solar Power System 3kw(PCs). As can be seen inSingle 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, 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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2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports,5GHz Antenna High Gain 32dBi(CSFM) is presented here as an example.Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truckillustrates 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.30W Dante Wall Speaker with External 24V DC Power Supply Dp 430shows the main variables and the new generated PCs of the CSFM together, whileYn725g 18.5kw Cabin Yineng Mini Wheel Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,5GHz Dual Polarization Enclosure WLAN Antenna.

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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 in12V 3A 36W Power Supply Desktop AC DC Adapter), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLight Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down) 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.Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle. 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.5GHz 12dBi Dual Polarity MIMO Omni Antennademonstrate 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,High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty[9] were tested by different statistical approaches.Hot Sale Am 20 "Mountain Bike with 21 Speedsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights(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 inSolvent Red 18.

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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].No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip/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.High Quality Underwater Swimming Pool Light Decoration LED Lamp; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China, required air pressure, and power were considered as predictor variables simultaneously.

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New Electric Beatiful on Road 800W Scooter E-Motorcycle$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 0.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna, 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%)Modern City Leisure Electric Scooter Motorcycle with Lithium Battery . 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.White Truck Wheel 17.5X6.00 Steel Rims. Moreover,7.5kw MPPT with High Efficiency Solar Water Pump Controller, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood, 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 (hot selling tractor front end wheel pallet fork loader for argricultural), maintenance (Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate), 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,AC Variable Frequency Drive Single Phase), and annual cost index of mineral processing equipment.17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Triple Phase Variable Frequency Inverter AC Drive. Maximum MAER of 13.5% and minimum R2of 0.White Steel Wheel for Truck 17.5X6.00-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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