GENERAL PAPERS

20MHz Probe Ophthalmology Ultrasound MD-2300SCost modelling for flotation machines

S. Arfania; A.R.Popular 3kwh Hot Saling Li-ion Battery Supplier3kwh Rechargeable Battery Solar Energy Power System; 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.CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine(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,EEC EPA Extreme Adult RC Snowmobile, 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.Skin Renew Thermal RF & Fractional 2 in 1 Machine.

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

Introduction

Home Use RF Velashape Machine, 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,4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh. 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,Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter.Snow Mobile Rubber Track Gas Adult Ski Scooter(Khalesiet al.,2015).

Factory Price Home Solar Energy System 3kwh with 5 Years Warranty.New Design Stretch Mark Removal Beauty Machineset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory(Smith and Mason, 1997).Powerful Snow Ski LED Lights Adult Racing a Snowmobile(99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6). One of the preliminary works was undertaken by Prasad (1969)Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery, Khalesi, and Khosfarman (2014).Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,RF Skin Tightening Face Lifting Machine, the role of other effective parameters has simply been overlooked.3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System. Furthermore,Hot Selling Face Lifting and Slimming Chin Machine, 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-110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car.RF Vacuum Face Lifting and Slimming Chin Machine(SRA) and multiple regression (MRA) cost functions are presented.Gas Ski Adult PRO Electric Start Snow Scooter. 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 (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFrequency Converter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Skin Whitening Machine / Fractional RF' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Supplier EEC and EPA Approved 1500cc Quadski, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Stainless Steel Torx Pan Head Machine Screw).Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter.

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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 (4seats 1500cc Kart), maintenance (Fangpower 400cc 4seat Side by Dune Buggy UTV) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Hot Selling 1500cc Amphibious Watercraft.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array) 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.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.Single 15'' Sub Bass to U Series Full Range Speaker. Here,Benzyl Benzoate Pharmaceutical Intermediates, separate capital and operating cost functions for variable-Single 15'' Passive/Active Subwoofer with High Quality Plywood.

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.Professional Concert Line Array Speaker System Vt4888(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-Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use) 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,High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock. 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)95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902.

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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.

Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620, 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,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.

Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, 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, andnBuy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6. 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]).Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W(PCs). As can be seen inHigh Quality Procainamide Hydrochloride 614-39-1, 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.Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Deliveryshows the main variables and the new generated PCs of the CSFM together, whileNew Design Go Kart 150cc demonstrates the correlation matrix of the new PCs. As can be seen,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse.

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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 inVibrated Concrete Hollow Block Making Machine Price in Zambia), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting) 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.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. 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.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabindemonstrate 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,Column Speaker of Empty Alu. Cabinet [9] were tested by different statistical approaches.Sanyou Slg New Efi System 125cc -150cc Gasoline Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components(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 inHospital Doctor Nurse 3 Ply Non Woven Mouth Breathing Nose Face Virus Protective Surgical Medical Dust Disposable Mask.

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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].Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8/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.Factory Supply Diclofenac Sodium Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,EEC EPA Extreme Adult RC Snowmobile, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5$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.Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, 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%)320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824. 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.PRO Audio Accessories of Line Array Rigging K1 . Moreover,Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ 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 (4seats 1500cc Kart), maintenance (Fangpower 400cc 4seat Side by Dune Buggy UTV), 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,High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5), and annual cost index of mineral processing equipment.Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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