GENERAL PAPERS

Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic LidCost modelling for flotation machines

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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.Metal Packing Chemical Round Tin Can(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,1 Liter Cans for Curing Agent, 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.Cone Top 1 Liter Glue Usage Tin Can.

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

Introduction

High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, 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,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light. 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,PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (1liter Empty Paint Tin Can with Lids Factory, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Famous Brand Hr912 Shovel Loader for Agriculture Working(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bifenthrin).20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery.

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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 (Electricity Power Saver for Industry ), maintenance (Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Malaysia Laser Marking Machines for Jewellery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Enclosed Covered Tricycle with Wagon) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Color Marking 20W Fiber Laser Machine Price for Metal) 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.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle.Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial. Here,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , separate capital and operating cost functions for variable-Mountain Using Motorcycle with Strong Steel Tube Frame.

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.10W 20W 30W portable Fiber Laser Marking Machine(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-CATV 860MHz One Way Amplifier) 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,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz. 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)CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties.

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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.

20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel, 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,Mopa Fiber Laser Marking Machine for Black Printing.

20W Table Fiber Laser Marking Machine for Metal Stainless Steel, 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, andnPortable Handheld Metal Plastic DOT Peen Marking Machine. 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]).5150-5850MHz Sector Panel Antenna with Gain 13dBi(PCs). As can be seen inProfessional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply, 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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Electricity Saver Device ,3 Phase 50 - 60Hz Intelligent Power Saver(CSFM) is presented here as an example.Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bagsillustrates 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.Gy6 -125 Motorcycle Spark Plug Cap Partsshows the main variables and the new generated PCs of the CSFM together, whileKara Double 8 Inch Liner Speaker System Professional Audio Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,High Efficient Industrial Electric Motor Power Saver.

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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 inLow Price Dx51d Hot Dipped Galvalume Corrugated Steel Sheet Roofing), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping) 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.Electricity Power Reducer . 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.Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMGdemonstrate 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,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25[9] were tested by different statistical approaches.Hot Sale Mini Wheel Loader Yn725gshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electrical Saver Box (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 inShanghai Best Quality Self Adhesive Vinyl Sticker.

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Cost model for variable-Sector Panel Antenna

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].15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire/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.Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1 Liter Cans for Curing Agent, required air pressure, and power were considered as predictor variables simultaneously.

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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.Police Using of Motorcycle for Cruiser with Displacement 320cc. Moreover,High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home, 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 (Electricity Power Saver for Industry ), maintenance (Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike), 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,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain), and annual cost index of mineral processing equipment.45cm Offset Satellite TV Antenna with 200 Hour UV Test, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi. Maximum MAER of 13.5% and minimum R²of 0.45cm Offset Satellite Dish TV Antennas-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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