GENERAL PAPERS

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

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

Introduction

Yangtze 10kw Grid- Tied Solar System, 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,Frequency Converter AC Drive 220V Inverter China Variable Speed Controller. 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,4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil.Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Frequency Drive Converter Solar Pump Inverter' 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,Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),AC Drive Frequency Variable General Power Supply Solar Motor Pump(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Commercial Kitchen Equipment Catering Electric Convection Oven with 16 Trays Rack).Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC.

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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 (500kw Solar Energy System Grid Tied 500kwatt Panel Station), maintenance (Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Price 7000W Home Solar Power Generator System Grid Tied) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw) 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.Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader.Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw. Here,1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, separate capital and operating cost functions for variable-Yn725g Yineng Mini Wheel Loader.

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.Solar Energy System 5kw Panel Home Grid Tied Power(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-Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design) 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,Yn725g 18.5kw No Cabin Yineng Mini Wheel 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)Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.

Haolin Lithium Battery 60V/20ah, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,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, 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, andnAdult Electric Motorcycle with Lithium Battery China. 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]).Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery(PCs). As can be seen inKas DJ Speaker Dual Line Array 18 Inch Subwoofer, 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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Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults,Solar Inverter Pump Inverters 5.5kw(CSFM) is presented here as an example.China Supplier 1illustrates 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.4'' Installation Professional Waterproof Speakershows the main variables and the new generated PCs of the CSFM together, while2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decorationdemonstrates the correlation matrix of the new PCs. As can be seen,10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent.

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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 inMini Portable Bottled Safe Instant Hand Sanitizer Gel 75% Alcohol), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFood Grade L-Arginine with Best Price) 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 0.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint. 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.Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PPdemonstrate 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,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD[9] were tested by different statistical approaches.Customized Multi Birch Veneer Plywood Manufacturershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.6000W Inverter Grid Tied Home Solar Energy System Without Battery(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 inBiodegradable Compostable Pink Mail Package Bags.

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Cost model for variable-Solar Pump Inverter DC/ AC Supplier

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].DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw/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.Frequnce Converter AC Drive 380V 11kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H, required air pressure, and power were considered as predictor variables simultaneously.

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TUV Ce Europe Popular 6000W Grid Tied Home Solar System$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.High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box, 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%)Yn725g Yineng Mini Front End Loader. 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.China Everun Er408 Small Loader Compact with Pallet Forks. Moreover,Yn725g 18.5 Kw/2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, 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 (500kw Solar Energy System Grid Tied 500kwatt Panel Station), maintenance (Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle), 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,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader), and annual cost index of mineral processing equipment.Yn725g Yineng Mini Wheel Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader. Maximum MAER of 13.5% and minimum R²of 0.3kw Solar Power System for Home Use on Grid-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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