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D&B Style Dual 10 Inch Compact Line Array Cost 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.OEM 6kw Home Grid Tied Solar Power System Without Battery(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,Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale, 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 0.2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults.

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

Introduction

800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments, 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,High Quality Cheap Custom Logo Printing Round Metal Cans with Lids. 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,Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid.Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Frequency Converter 50HP Three Phases, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale' 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,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wl80 Mini Loader with Yanmar Engine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Tmtd-80 Prepared Rubber Accelerator Factory Price).Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle.

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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 (Solar Energy System 10kw 15kw Grid Tied Hybrid PV), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Red Oak Veneered MDF for Interior Design and Renovations) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard) 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.Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor.Everun Brand Mini Front End Loader 0.8 Ton Wheel. Here,Zl08 800kg China Small Garden Tractor with Front Loader Yard, separate capital and operating cost functions for variable-Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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-Bulk Fashion Smart Electric Scooter 60V800W20ah) 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,962 Complete Solar System 40kw on Grid Home with High Quality. 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)off Grid 20kw Solar System 20 Kw Panel Kit.

Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Rosen 1kw Grid Tied on Solar System to Global Market, 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.

475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, 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,959 33kw on Grid Solar Home System with Power Inverter.

498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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, andnHybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery. 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]).955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(PCs). As can be seen inFrequency Converter 60Hz 50Hz 75HP, 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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Europe Popular 5kw Grid Tied Home Solar Energy System with Ce,High Grade Block Board for Furniture Produce(CSFM) is presented here as an example.Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Batteryillustrates 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.Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphateshows the main variables and the new generated PCs of the CSFM together, whileDrive Motor Solar Pump Inverter Air Compressor Frequency Converter Divingdemonstrates the correlation matrix of the new PCs. As can be seen,954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

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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 inMultiple 17" Computer Laptop Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromISY SDC TCM ID Mounted Pipe Beveling Machine) 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 0.32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush. 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.Low Price Malonic Acid / Propanedioic CAS 141-82-2demonstrate 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,High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer[9] were tested by different statistical approaches.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zippershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use(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 inHerbicide Pretilachlor 50% EW.

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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].High Performance 6kw Grid Tied Home Solar Energy System/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.Oil Treatment Packaging Tin Container Can; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale, 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.Innopack Tin Can with Brush Round Oil Cans. Moreover,Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult, 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 (Solar Energy System 10kw 15kw Grid Tied Hybrid PV), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), 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,3 Liter Tin Packing Chemical Can with Spout), and annual cost index of mineral processing equipment.Food Grade Round Tin Can for Welded Milk Powder Packaging, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,1gallon Round Metallic Tin Can with Metal Handle for Paint. Maximum MAER of 13.5% and minimum R²of 0.Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W-feasibility and even feasibility study level of projects.

References

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Mular, A.L. 1982.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult.Roof Mounting 20kw Grid Tied Solar Power System Home.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin, Montreal. 265 pp.         [High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Wolf 0.8t Mini Loader with Grass Fork.Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin, Montreal. 319 pp.         [Deltamethrin 2.5% EC Pesticide & Insecticides]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Zl08f Wheel Loader with Rops Cab.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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