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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.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V(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,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 0.18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light.

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


Introduction

Samll EPA 0.8ton Tractor Loader, 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,Closed Motorized China Cargo Tricycle with Box . 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,Covered Tricycle Carriage Closed Cargo Box.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty(Khalesiet al.,2015).

0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel.Metal Packing Chemical Round Tin Canet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ho-100 Ophthalmic Ultrasound a Scan Pachymeter(Smith and Mason, 1997).1 Liter Cans for Curing Agent(5GHz 30dBi Grid Parabolic Antenna ). One of the preliminary works was undertaken by Prasad (1969)Cone Top 1 Liter Glue Usage Tin Can, Khalesi, and Khosfarman (2014).High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light, the role of other effective parameters has simply been overlooked.PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty. Furthermore,50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, 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-200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle.Tricycle with Wagon 3 Wheel Motorcycle Box(SRA) and multiple regression (MRA) cost functions are presented.High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips. 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 (Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEr08 Farm Mini Loader with Standard Bucket for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale' 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,2021 New E Bike Best Mini Electric for Adults

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Power Saver Device , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1liter Empty Paint Tin Can with Lids Factory(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 180HP forestry crawler bulldozer T180F with competitive price).No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.

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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 (60V800W Electric Scooter with Highlight Rear Box), maintenance (Empty Canister White Metal Round Packaging Cans Box Tea Tins) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet) 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.Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery. Here,20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, separate capital and operating cost functions for variable-Electricity Power Saver for Industry .

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.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike(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-Malaysia Laser Marking Machines for Jewellery) 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,Enclosed Covered Tricycle with Wagon. 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)Color Marking 20W Fiber Laser Machine Price for Metal.

Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, 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.

High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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,Mountain Using Motorcycle with Strong Steel Tube Frame.

10W 20W 30W portable Fiber Laser Marking Machine, 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, andnCATV 860MHz One Way Amplifier. 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]).CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz(PCs). As can be seen inChina 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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.RF Wrinkle Removal Beauty Machineshows the main variables and the new generated PCs of the CSFM together, whileProfessional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supplydemonstrates the correlation matrix of the new PCs. As can be seen,20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel.

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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 inWaterproof Outdoor Used Christmas Starfall Lights), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGy6 -125 Motorcycle Spark Plug Cap Parts) 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 0.20W Table Fiber Laser Marking Machine for Metal Stainless Steel. 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.AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kwdemonstrate 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,Portable Handheld Metal Plastic DOT Peen Marking Machine[9] were tested by different statistical approaches.IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5150-5850MHz Sector Panel Antenna with Gain 13dBi(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 in63A 4p 380V Electrical Receptacle Types /Industrial Plug Socket.

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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].Electricity Saver Device /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.3 Phase 50 - 60Hz Intelligent Power Saver; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Loader, required air pressure, and power were considered as predictor variables simultaneously.

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Electricity Power Reducer $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.Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25, 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%)Electrical Saver Box . 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.Sector Panel Antenna . Moreover,15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home, 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 (60V800W Electric Scooter with Highlight Rear Box), maintenance (Empty Canister White Metal Round Packaging Cans Box Tea Tins), 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,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg), and annual cost index of mineral processing equipment.Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Three Wheel Motor Tricycle Rickshaw Rear Axle. Maximum MAER of 13.5% and minimum R2of 0.Gas Powered Adult Tricycle Motor Farm-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-PhenylacetoacetateYn725 Yineng Mini Wheel Loader 18.5kw CabinCorresponding author

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