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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

Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing MachineCost modelling for flotation machines

S. Arfania; A.R.One and Half Rows Three Wheeler for SaleUSP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6; 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 Wholesale Gas Powered EPA Ce Trike Scooter 300cc(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,Adult 800W Power Electric Scooter Suit for Woman, 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 0.800W Electric Motorbike with Front Disc Brake.

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


Introduction

Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, 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,dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for. 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,350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model.800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle(Khalesiet al.,2015).

New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power.5GHz 30dBi Grid Parabolic Antenna et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production(Smith and Mason, 1997).5GHz Dish Parabolic Antenna 29dBi(Flexible Label Laser Marking Machine). One of the preliminary works was undertaken by Prasad (1969)2.4/ 5GHz Dual Band H-Pol Sector Antenna, Khalesi, and Khosfarman (2014).Electric Dirt Bike Zm-Es18 with 500W- 800W Motor; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5GHz 20dBi Enclosure WLAN Antenna, the role of other effective parameters has simply been overlooked.5GHz 45deg Dual Pol Sector Antenna. Furthermore,5GHz 23dBi Enclosure WiFi Antenna, 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-5GHz Dual Pol Sector Antenna with Enclosure .5GHz 34dBi Dish WLAN Antenna(SRA) and multiple regression (MRA) cost functions are presented.5GHz 18dBi Dual Polarization Sector WiFi Antenna. 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 (18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in4seats 1500cc Kart(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Poplar Film Faced Plywood Board with Carb Certificate' 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,Quality 18mm Carb Birch Okoumen Plywood

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),30kw Grid Tied Solar Power System Home Popular in Philippines(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Television 4K Smart LED TV).New Condition Large Capacity Mini Truck Dumper.

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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 (IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty), maintenance (50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims) 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.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories.300cc Cargo Tricycle of Asia Market. Here,Building Material Commercial Plywood with Carb to Europe, separate capital and operating cost functions for variable-AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.

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 Jiaxing Jarol Frequency Inverter 0.75kw/220V New(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-Portable Laptop Digital Automatic Ultrasound Bone Densitometer) 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,Haiqin Brand 0.8ton Mini Loader . 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)Jarol Solar Inverter 5.5kw 3 Phase.

Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Textile Crane Centrifugal 380V Variable Frequency Drive VFD, 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.

2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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,AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale.

Inverter Cabinet VFD Frequency AC Drives 15kw Motor, 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, andn2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip. 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]).12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty(PCs). As can be seen inMalaysia Laser Marking Machines for Jewellery, 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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24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah,2ND Generation Ultrasound Bone Densitometer(CSFM) is presented here as an example.10HP Three Phase Frequency Converterillustrates 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.AC Frequency Speed Controller 7.5kw VFD Drivesshows the main variables and the new generated PCs of the CSFM together, whileAutomatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 Vdemonstrates the correlation matrix of the new PCs. As can be seen,Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series.

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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 inHigh Quality 1500W 2000W 3000W Fiber Laser Cutting Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10'x6' Rotary Cut Okoume Veneer for Plywood) 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 Effective Automatic Ultrasound Bone Densitometer. 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.3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Raildemonstrate 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,Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100[9] were tested by different statistical approaches.Fuel Gas Cylinder ECU 2568d Map Sensorsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer(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 inPersonalized Monogram Heavy Canvas Weekender Duffle Bag with Leather Handles.

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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].Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV/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.Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Adult 800W Power Electric Scooter Suit for Woman, required air pressure, and power were considered as predictor variables simultaneously.

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150cc 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 0.5L Vegetable Cooking Oil Custom Tinplate Square Can, 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%)Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter. 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.Wholesale Plastic Square 1 Liter Fertilizer Bottle. Moreover,Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (50cc Motorcycle, 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 (IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty), maintenance (50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter), 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,Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw), and annual cost index of mineral processing equipment.Zhenhua Classic Motorcycle Dax 125cc Euro4, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Super Cooling Smart Electric Scooter 500W 800W Motorcycle. Maximum MAER of 13.5% and minimum R2of 0.Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Lady's E-Scooter 800W Hot Sale Made in China.High Quality Electric Motorbike with 800W Motor.800W 72V China Electric Tricycle for Handicapped, Montreal. 265 pp.         [Karaoke Speaker System Chinese KTV High Output Compact Box]

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Textile Crane Centrifugal 380V Variable Frequency Drive VFD, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Medical Automatic Ultrasound Bone Densitometer in Low Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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