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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

94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4Cost modelling for flotation machines

S. Arfania; A.R.5150-5850MHz Sector Panel Antenna 2*17dBiHigh Performance Motorcycle Tire for Senegal ; 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.12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar(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,Replica Aluminum Alloy Wheels for Skoda, 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.Best Price Sab-500 Ophtalmic Ab Scan.

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


Introduction

Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25, 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,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650. 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,80kw Grid Tied Solar System for Commercial or Industrial Use.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System(Khalesiet al.,2015).

Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type.Ophthalmic Equipment Biometer Scan aet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electric Motorcycle (Smith and Mason, 1997).0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer(Non Standard Eco Friendly Rubber Seal O-Ring). One of the preliminary works was undertaken by Prasad (1969)860MHz CATV One Way Amplifiers, Khalesi, and Khosfarman (2014).CATV Mini Line Extending 2-Way Amplifer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20MHz Probe Ophthalmology Ultrasound MD-2300S, the role of other effective parameters has simply been overlooked.860MHz Two Way Amplifier . Furthermore,Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle, 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-Ophthalmic a Scan Portable Handheld Biometer.Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life(SRA) and multiple regression (MRA) cost functions are presented.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System. 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 (500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inInnopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10kw Cheap Solar Panels Complete Grid Tied System' 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,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun Er08 CE Wheel Loader with Standard Bucket for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Direct Sale Metal Enamel Souvenir Badge with ODM and OEM).China Cpm Zl08 Mini Wheel Loaders with Price List for Sale.

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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 (Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V), maintenance (Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Samll EPA 0.8ton Tractor Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Closed Motorized China Cargo Tricycle with Box ) 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.Covered Tricycle Carriage Closed Cargo Box.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty. Here,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, separate capital and operating cost functions for variable-Metal Packing Chemical Round Tin Can.

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.1 Liter Cans for Curing Agent(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-Cone Top 1 Liter Glue Usage Tin Can) 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,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket. 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)Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light.

PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, 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.

200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 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,Tricycle with Wagon 3 Wheel Motorcycle Box.

High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips, 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, andnManufacturer Promotional Square Metal Tin Can for Tea Coffee Packing. 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]).Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale(PCs). As can be seen inSofa Set Fabric Velvet Furniture, 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.860MHz Two Way Amplifier shows the main variables and the new generated PCs of the CSFM together, whileDigital Display Hygienic Pressure Indicator Transmitterdemonstrates the correlation matrix of the new PCs. As can be seen,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty.

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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 inOne-storey steel structure warehouse), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPneumatic Pipe Beveling Machine High Performence) 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.Power Saver Device . 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.Hot-Sale Sporty Electric Motorcycle Mn5demonstrate 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,1liter Empty Paint Tin Can with Lids Factory[9] were tested by different statistical approaches.USP Level Isopropyl Alcohol 99.9%shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports(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 inSea Shipping FCL Freight Forwarder From China to Buenos Aires Argentina Professional Fast Reliable Logistics Services.

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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].Empty Canister White Metal Round Packaging Cans Box Tea Tins/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.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Replica Aluminum Alloy Wheels for Skoda, required air pressure, and power were considered as predictor variables simultaneously.

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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.Electricity Power Saver for Industry . Moreover,Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Malaysia Laser Marking Machines for Jewellery, 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 (Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V), maintenance (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,Enclosed Covered Tricycle with Wagon), and annual cost index of mineral processing equipment.Color Marking 20W Fiber Laser Machine Price for Metal, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.5150-5850MHz Sector Panel Antenna with Gain 13dBi.Dirt Bike for Sport Using with Large Power Engine.Portable Handheld Metal Plastic DOT Peen Marking Machine, Montreal. 319 pp.         [IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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