GENERAL PAPERS

Power Amplifiers PA Speaker System Amplifier 1000 WattCost modelling for flotation machines

S. Arfania; A.R.0.6m 5GHz Parabolic Antenna with Gain 28dBiDual 10inch PA Audio Line Array Speaker Box 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.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart(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,150cc 200cc 250cc ATV Quad Bike for Adults, 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 0.4 Stroke Buggy 150cc ATV.

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

Introduction

High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS, 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,The Newest 110cc 125cc 150cc Toyota Mini Buggy . 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,High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty(Khalesiet al.,2015).

0.4m 5GHz Parabolic Antenna with Gain 23dBi.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Power Smart Electric Scooter with LED Light 60V800W20ah(Smith and Mason, 1997).5 Wheels Gasoline Cargo Tricycle with Front Cabin(Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, Khalesi, and Khosfarman (2014).Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Mini Willys Jeep Available on 110cc, the role of other effective parameters has simply been overlooked.150cc ATV for Adults Lmatv-150hm. Furthermore,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, 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-High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25(SRA) and multiple regression (MRA) cost functions are presented.150cc Quad 4WD ATV for Adults. 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 (Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory-Slicer Natural American Red Oak Veneer in 0.50mm(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip' 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,Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2 Ton Loader 3 Wheel Cargo Tricycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Grid Tied Inverter 3kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Blank Solid Promotion Short Sleeve Running T Shirt Custom Printing O Neck Wholesale Cheap Hot Sale).5kw Solar PV Kit Power Gird Tied Inverter.

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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 (Factory Mining Tyre), maintenance (Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,150cc Front Cabin Cargo Tricycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (OTR G2 Grader Tubeless Tyre 17.5-25) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Metal Screw Top Round Machine Oil Tank) 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.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container.E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre . Here,Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre , separate capital and operating cost functions for variable-1L Paint Tin Cans/Empty Food Grade Can with Lid.

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.17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders(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-20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre) 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 Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights. 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)China Electric Tricycle 350W 500W 800W for Adult.

Llantas High Quality L5 OTR Tyre 26.5-25, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Empty Round Brake Fluid Can Boxes, 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.

Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, 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,Motor King Rear Double Axle Tricycle for Heavy Loader.

Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding, 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, andn1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent. 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]).1L /1000ml Extra Virgin Olive Oil Metal Can(PCs). As can be seen inHD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond, 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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Heavy Loader 5wheel Cargo Tricycle with Cabin,High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine(CSFM) is presented here as an example.EEC Euro 5 Gy6 -125cc Motorcycle Scootersillustrates 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.Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Useshows the main variables and the new generated PCs of the CSFM together, whilePlastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPEdemonstrates the correlation matrix of the new PCs. As can be seen,Motor Cargo Tricycle for 2-3ton Loader.

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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 inLapel Pin Badge Manufacturer Metal Shiny Gold Plated Hard Enamel Pins), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWilson Parts Eim Module Engine Interface 258 -9753 2589755 Control) 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 0.1L Extra Virgin Olive Oil Metal Can with Cover. 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.Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571demonstrate 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,Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W[9] were tested by different statistical approaches.Line Array with Accessories for PRO Audioshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 -125/ 150ccformaular(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 inGermany PC Dyed Abstract Fabric for Curtains Can Be Customized.

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Cost model for variable-Double Chasis Cargo Tricycle

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].Euro 5 Gy6 -50cc 4t Moped/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.Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,150cc 200cc 250cc ATV Quad Bike for Adults, required air pressure, and power were considered as predictor variables simultaneously.

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Barrow Mini Dumper with Three Wheels$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 0.3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter, 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%)Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor. 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.20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine. Moreover,Gy6 150cc EEC Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (250W- 800W Handicapped Mobility Scooter for Old People with Basket, 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 (Factory Mining Tyre), maintenance (Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power), 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,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty), and annual cost index of mineral processing equipment.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains. Maximum MAER of 13.5% and minimum R²of 0.Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W-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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