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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.0.4m 5GHz Parabolic Antenna with Gain 23dBi(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,Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, 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 0.5 Wheels Gasoline Cargo Tricycle with Front Cabin.

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

Introduction

IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, 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,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on. 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,New Mini Willys Jeep Available on 110cc.150cc ATV for Adults Lmatv-150hm(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (2 Ton Loader 3 Wheel Cargo Tricycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZongshen 150cc Cargo Tricycle with Top Cover(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Grid Tied Inverter 3kw' 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,OTR G2 Grader Tubeless Tyre 17.5-25

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Metal Screw Top Round Machine Oil Tank, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Flower Beading Sash Wedding Dress Satin Ball Gown Sweetheart off-Shoulder Bridal).E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre .

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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 (Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ), maintenance (1L Paint Tin Cans/Empty Food Grade Can with Lid) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights) 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.China Electric Tricycle 350W 500W 800W for Adult.Llantas High Quality L5 OTR Tyre 26.5-25. Here,1L Empty Round Brake Fluid Can Boxes, separate capital and operating cost functions for variable-Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.

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.Motor King Rear Double Axle Tricycle for Heavy Loader(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-Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding) 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,1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent. 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)1L /1000ml Extra Virgin Olive Oil Metal Can.

1L Olive Oil Can Cooking Empty Tin Can/Pot Metal, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Heavy Loader 5wheel Cargo Tricycle with Cabin, 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.

High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine, 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 Cargo Tricycle for 2-3ton Loader.

1L Empty Round Tin Can with Plastic Lid Manufacturer, 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 Extra Virgin Olive Oil Metal Can with Cover. 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]).Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W(PCs). As can be seen inProfessional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, 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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Double Chasis Cargo Tricycle,Euro 5 Gy6 -50cc 4t Moped(CSFM) is presented here as an example.125cc Retro Scooter Motorcycleillustrates 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.500ml Round Resealable Tin Can with Easy Open Screw Top Lidshows the main variables and the new generated PCs of the CSFM together, whileAsapp-II Ammonium Polyphosphate for Intumescent Paints demonstrates the correlation matrix of the new PCs. As can be seen,Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter .

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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 inP5.95 Indoor Outdoor Video Screen Panel Stage Rental LED Display), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality European Style Modern Furniture) 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 0.3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate. 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.High Quality 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,Barrow Mini Dumper with Three Wheels[9] were tested by different statistical approaches.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter(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 inKorean Style Zipper PU Cosmetic Case with UV Disinfection Bag.

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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].20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine/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.Gy6 150cc EEC Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, required air pressure, and power were considered as predictor variables simultaneously.

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Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty$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 0.3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains, 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%)Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W. 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.Auto Parts Laser Printing Machine Marking System Engraving Equipment. Moreover,Water-Proof Cover 3 Wheel Cargo Gasoline Trike, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine, 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 (Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ), maintenance (1L Paint Tin Cans/Empty Food Grade Can with Lid), 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,2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W), and annual cost index of mineral processing equipment.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,30W CO2 Touch Screen Laser Marking Coding Engraving Machine. Maximum MAER of 13.5% and minimum R²of 0.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

1-Bromo-3Mini Radlader with Ce for Germany and Sweden MarketCorresponding author