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Articulated Mini Wheel Loader Er08 Telescopic BoomCost modelling for flotation machines

S. Arfania; A.R.Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single PhaseFactory Direct Sale Polyamide PA Resin for Ink and Adhesives; 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.off Grid 5kw 10kw Solar Power System(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,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof, 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 0.2013 Popular Electric Motorcycle 90km with Pedal CE .

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

Introduction

Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, 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,Wolf Loader Wl80 Radlader Without Cabin. 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,Yn725g Approved Hot Sale Mini Wheel Loader Yn725.Er08 New CE Approved Small Shovel Loader(Khalesiet al.,2015).

Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader.Hot Sale Mini Wheel Loader Yn725get al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro(Smith and Mason, 1997).0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm(Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta). One of the preliminary works was undertaken by Prasad (1969)Low Frequency Inverter AC Drive, Khalesi, and Khosfarman (2014).Frequency Inverter Converter 50Hz 60Hz; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Single Phase Mini AC DC Motor Speed Controller, the role of other effective parameters has simply been overlooked.Frequency Inverter Pump AC Drive Price. Furthermore,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw, 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-Inverter.AC Drive Inverter Low Frequency Power(SRA) and multiple regression (MRA) cost functions are presented.0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump. 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 (AC Drive Variable Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Handle Electric DOT Peen Marking Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China AC Drive Manufacturers' 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,Bl-Xgz Electric Motorcycle

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Protective Surgical Medical Face Mask).Bl-Xgw Electric Motorcycle.

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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 (Yineng Yn725 Mini Wheel Loader 18.5kw Cabin), maintenance (Yn725 Mini Small Perkins Engine Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,21kw Grid- Tied Solar Power System with 25 Years Working Time.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Home Solar System 2kw Panel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner) 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.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use. Here,Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use, separate capital and operating cost functions for variable-High Quality 5000W Grid Tied Solar Power Generation System Competitive Price.

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.843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage(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-Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H) 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,Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike. 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)Yangtze 10kw Grid- Tied Solar System.

Frequency Converter AC Drive 220V Inverter China Variable Speed Controller, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap.

7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container, 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).

whereC_eis the estimated cost,C_athe actual cost, andn5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container. 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]).Yn725g Hot Sale Mini Wheel Loader(PCs). As can be seen inCable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.Growatt 50000W 60000W 70000W 80000W Grid Tied Solar Invertershows the main variables and the new generated PCs of the CSFM together, whileSp-1000ap Ophthalmic a Scan and Pachymeterdemonstrates the correlation matrix of the new PCs. As can be seen,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inSmart Aluminum Frame Tsa Lock Travel Make up Suitcase), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPower Saver for Industrial ) 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.Compact wheel loader snow pusher landscaping. 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.Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%demonstrate 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,Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle[9] were tested by different statistical approaches.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/Hshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse(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 inFashion Laptop Backpack Contains Multi-Function Pockets.

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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].China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle/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.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof, required air pressure, and power were considered as predictor variables simultaneously.

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Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China$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.Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV, 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%)AC Drive Frequency Variable General Power Supply Solar Motor Pump. 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.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC. Moreover,500kw Solar Energy System Grid Tied 500kwatt Panel Station, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Direct Supply 2 Wheels No Folding Elderly Electric 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 (Yineng Yn725 Mini Wheel Loader 18.5kw Cabin), maintenance (Yn725 Mini Small Perkins Engine Wheel 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,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC), and annual cost index of mineral processing equipment.Factory Price 7000W Home Solar Power Generator System Grid Tied, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw. Maximum MAER of 13.5% and minimum R²of 0.Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult.High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, Montreal. 265 pp.         [Heavy Duty Tricycle 250cc]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Adult Electric Motorcycle with Lithium Battery China.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery.High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, Montreal. 319 pp.         [Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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