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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
600W- 800W 48V/60V Lead-Acid Battery Electric ScooterCost modelling for flotation machines
S. Arfania; A.R.Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady2021 Android TV Box H96 WiFi Set Internet; 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.Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult(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,350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults, 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 0.1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult, 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,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal. 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,Hot Smart Electric Scooter 60V800W Power Motor with USB.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike(Khalesiet al.,2015).
Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W.China Tl08 Mini Wheel Loader with Low Price for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for SMD3014/2835 AC/DC Underwater LED Swimming Pool Light(Smith and Mason, 1997).Er08 Farm Mini Loader with Standard Bucket for Sale(Vera12 New Design 800watts 12" Audio System Line Array). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 18.5kw, Khalesi, and Khosfarman (2014).Ce Approved Mini Loader with Road Sweeper; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, the role of other effective parameters has simply been overlooked.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use. Furthermore,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, 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-60V/72V 1200W Electric Scooter with Tianneng Battery.Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid(SRA) and multiple regression (MRA) cost functions are presented.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel 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 (Metal Cans 0.925 Liter Tin Barrel for Packaging Container, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz 23dBi Dual Polarized Panel Antenna (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Inverter Pump AC Drive Price' 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,Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.5L Tin Can with Dry Cover, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Rolled/Cold Rolled 45# Hollow Black Iron ERW Extruded Tube Welded Square Steel Pipe Rectangular Use for Solar Powered Bracket).AC Frequency Converter 50Hz 60Hz Drive Inverter.
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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 (Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult), maintenance (Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling) 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.Cheap Smart Lady's Electric Scooter 60V800W.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts. Here,Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, separate capital and operating cost functions for variable-0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift.
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.Yn725 Yineng Mini Wheel Loader 18.5kw(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-Wheel Loader Mini Wolf Wl80 with Forks) 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,Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System. 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)Wolf Wl80 Mini Radlader Hoflader with Forks in Farm.
High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, 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.
Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export, 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,Big 4000W 70V Electric Scooter.
4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, 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, andn18L Square Metal Tin Cans with Handle and Lid for Oil. 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]).Glue Tin Can with Plastic Lid / Square Metal Paint Sizes(PCs). As can be seen inCe Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer , 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.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6shows the main variables and the new generated PCs of the CSFM together, whileAlloy Ldx 2101 Uns S32101 Stainless Steel Platedemonstrates the correlation matrix of the new PCs. As can be seen,Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase.
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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 in2.5X2.5m 2X3m 3X3m 3X4.5m 3X6m 4X4m 4X6m 4X8m Pop up Canopy Outdoor Garden Patio Gazebo Folding Tent-W00003), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCanada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP) 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.Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof. 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.IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Lightdemonstrate 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,2013 Popular Electric Motorcycle 90km with Pedal CE [9] were tested by different statistical approaches.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adultshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale(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 in1325 Wood Cutting Machine.
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Cost model for variable-Wolf Loader Wl80 Radlader Without Cabin
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].Yn725g Approved Hot Sale Mini Wheel Loader Yn725/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.Er08 New CE Approved Small Shovel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults, required air pressure, and power were considered as predictor variables simultaneously.
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0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm$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.Low Frequency Inverter AC Drive, 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%)Frequency Inverter Converter 50Hz 60Hz. 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.Single Phase Mini AC DC Motor Speed Controller. Moreover,Frequency Inverter Pump AC Drive Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Jarol Frequency Inverter JAC200 3 Phase 380V 4kw, 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 (Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult), maintenance (Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap), 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,Inverter), and annual cost index of mineral processing equipment.AC Drive Inverter Low Frequency Power, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump. Maximum MAER of 13.5% and minimum R2of 0.AC Drive Variable Drive-feasibility and even feasibility study level of projects.
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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Home Solar System 2kw Panel.Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner.21kw Grid- Tied Solar Power System with 25 Years Working Time, Montreal. 319 pp. [Mini Handle Electric DOT Peen Marking Machine]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [U Shape Chesterfield Sofa]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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