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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

Cone Top 1 Liter Glue Usage Tin CanCost modelling for flotation machines

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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.Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(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,20watt Mopa Laser Marking Machine for Anodized Aluminum Black, 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 Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips.

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


Introduction

No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty, 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,2021 New E Bike Best Mini Electric for Adults. 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,Power Saver Device .1liter Empty Paint Tin Can with Lids Factory(Khalesiet al.,2015).

No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.60V800W Electric Scooter with Highlight Rear Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2.4/ 5GHz Dual Band H-Pol Sector Antenna(Smith and Mason, 1997).Empty Canister White Metal Round Packaging Cans Box Tea Tins(Gy6 -125 Motorcycle Spark Plug Cap Parts). One of the preliminary works was undertaken by Prasad (1969)2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle, Khalesi, and Khosfarman (2014).No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet, the role of other effective parameters has simply been overlooked.Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped. Furthermore,Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery, 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-20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery.Electricity Power Saver for Industry (SRA) and multiple regression (MRA) cost functions are presented.Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike. 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 (Malaysia Laser Marking Machines for Jewellery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKara Double 8 Inch Liner Speaker System Professional Audio Equipment(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Enclosed Covered Tricycle with Wagon' 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,Mountain Using Motorcycle with Strong Steel Tube Frame

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10W 20W 30W portable Fiber Laser Marking Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CATV 860MHz One Way Amplifier(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Wholesale Durable Eco Friendly Compostable Plastic Packaging Produce Bags).CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz.

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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 (CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties), maintenance (High Efficiency SIM Card Fiber Laser Marking Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New Machine Grade CO2 Laser Marking with a Discount.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mopa Fiber Laser Marking Machine for Black Printing) 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.20W Table Fiber Laser Marking Machine for Metal Stainless Steel.Portable Handheld Metal Plastic DOT Peen Marking Machine. Here,5150-5850MHz Sector Panel Antenna with Gain 13dBi, separate capital and operating cost functions for variable-Dirt Bike for Sport Using with Large Power Engine.

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.Electricity Saver Device (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-3 Phase 50 - 60Hz Intelligent Power Saver) 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 Efficient Industrial Electric Motor Power Saver. 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)EEC 125/300cc Euro 5V Max Scooter-Alex One.

Electricity Power Reducer , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25, 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.

Electrical Saver Box , 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,Sector Panel Antenna .

15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire, 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, andnGrowatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home. 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]).Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg(PCs). As can be seen inIP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, 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.Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMGshows the main variables and the new generated PCs of the CSFM together, whileHot Sale Mini Wheel Loader Yn725gdemonstrates the correlation matrix of the new PCs. As can be seen,Motorcar for Both Civilc and Police Using with 320cc Displacement.

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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 inFoshan Classical Design Bathroom Corner Message Bathtub Jacuzzi Whirlpool Bath Hot Tub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromIP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light) 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.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable 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.Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nutsdemonstrate 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,7kwh Multi-Function Solar Energy Lithium Battery Ion for Home[9] were tested by different statistical approaches.IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain(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 inTurkey Market Wood Lathe Peeling Machine for Large Log.

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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].5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi/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.45cm Offset Satellite Dish TV Antennas; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20watt Mopa Laser Marking Machine for Anodized Aluminum Black, required air pressure, and power were considered as predictor variables simultaneously.

150ah Lithium Iron Phosphate . Moreover, the operating cost was detailed in different cost items.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things, indicated inFull Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner, and major extrapolation should be avoided.

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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.Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1. Moreover,Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female, 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 (CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties), maintenance (High Efficiency SIM Card Fiber Laser Marking Machine), 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,4000W/5000W off Grid Tied Solar Power System), and annual cost index of mineral processing equipment.Internet TV Box Linux IPTV Zgemma I55, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres. Maximum MAER of 13.5% and minimum R2of 0.High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty-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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