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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.Everun 0.8ton Chinese Articulated Mini Wheel Loader(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,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity, 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 0.500ml Round Resealable Tin Can with Easy Open Screw Top Lid.

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

Introduction

Compact wheel loader snow pusher landscaping, 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,Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle. 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,Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse.Frequency Drive Converter Solar Pump Inverter(Khalesiet al.,2015).

China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UKet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Empty Round Brake Fluid Can Boxes(Smith and Mason, 1997).Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter(Gym Rubber Flooring Floor Mat Roll). One of the preliminary works was undertaken by Prasad (1969)China Single Phase Variable Frequency Inverter AC 220V, Khalesi, and Khosfarman (2014).Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV, the role of other effective parameters has simply been overlooked.AC Drive Frequency Variable General Power Supply Solar Motor Pump. Furthermore,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, 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-500kw Solar Energy System Grid Tied 500kwatt Panel Station.Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC. 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 (Factory Price 7000W Home Solar Power Generator System Grid Tied, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHeavy Duty Tricycle 250cc(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw' 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,Solar Energy System 5kw Panel Home Grid Tied Power

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Chrome Finish 15 -17 Altima Front Grill Bumper Emblem).Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.

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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 (Haolin Lithium Battery 60V/20ah), maintenance (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult) 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.Adult Electric Motorcycle with Lithium Battery China.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery. Here,Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle, separate capital and operating cost functions for variable-Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults.

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 Inverter Pump Inverters 5.5kw(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-10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent) 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,350ml Brake Fluid Glue Tin Bottle. 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)9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint.

Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (6000W Inverter Grid Tied Home Solar Energy System Without Battery, 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.

Solar Pump Inverter DC/ AC Supplier, 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,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw.

Frequnce Converter AC Drive 380V 11kw, 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, andnSolar Inverter Pump 15kw. 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]).China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost(PCs). As can be seen in80kw Grid Tied Solar System for Commercial or Industrial Use, 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.Ytd-Dih25 IGBT Automatic Induction Heating Machineshows the main variables and the new generated PCs of the CSFM together, whileYn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabindemonstrates the correlation matrix of the new PCs. As can be seen,China Everun Er408 Small Loader Compact with Pallet Forks.

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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 inNew Design Ceramic Cups Coffee Mug Milk Cup Stoneware with Custom Logo for Wholesale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSingle 10 " Waterproof Polyurea Active Line Array Speaker Systems) 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 0.1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. 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.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheeldemonstrate 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,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader[9] were tested by different statistical approaches.Low Water Absorption Polymer 610shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725g Yineng Mini Wheel Loader(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 inSmart Collection Perfume.

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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].3kw Solar Power System for Home Use on Grid/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.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity, required air pressure, and power were considered as predictor variables simultaneously.

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China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw$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.Yangtze Solar Power Grid Tied System Home 5kw 5K, 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 and Competitive Price Electric Motorcycle Scooter for Daily. 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.1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System. Moreover,AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint, 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 (Haolin Lithium Battery 60V/20ah), maintenance (Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful 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,Metal Tin with Steel Handle for Paint), and annual cost index of mineral processing equipment.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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