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HDPE Water/Gas Supply Pipe Extrusion MachineryCost modelling for flotation machines

S. Arfania; A.R.Jarol Frequency Inverter with High Quality E320L/B/C/D Boom Arm Bucket Cyl Seal Kit Excavator Oil Kits; 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.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood(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,China Hot Sale Frequency Converter/Inverter 380V 50/60Hz, 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.Residential Grid Tied 6kw Solar Power System for Home.

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

Introduction

Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult, 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,Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults. 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,on Grid Solar Panel System 30kw Tied Home Power.Tractor loader/ mini loader with four wheels for loading(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Cheap Commercial Plywood for Construction Decoration and Furniture Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle Dlla156sm139(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite' 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,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,220VDC to 220VAC Variable Frequency Inverter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Latest Popularl Luxurious Wedding Dress Prom Dresses Uw4047A).Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump.

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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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (380V 400Hz 3p AC Drive Hot 15kw Frequency Converter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (VFD Frequency Converter Inverter for Constant Pressure Water Supply) 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.AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters.7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. Here,large cabin and powerful engine Customized 0.8ton mini wheel loader, separate capital and operating cost functions for variable-Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale.

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.Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine(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-AL908 0.8ton Wheel Loader Machinery for Sale) 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,Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket. 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)800kg China Small Front High Quality Wheel Loader for Sale in Europe.

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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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork.

18mm Embossed Melamine Faced Commercial Plywood for Furniture Making, 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, andnFilmfaced Plywood with High Quality and Cheap Price. 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]).9mm E1 Glue Bintangor Plywood Board(PCs). As can be seen inCheap Price Fertilizer Ammonium Sulphate Steel Grade, 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.Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112shows the main variables and the new generated PCs of the CSFM together, whileWolf 0.8t Mini Loader with Grass Forkdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle.

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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 inIP65 Waterproof Wireless Security Outdoor Solar Street Light Motion Sensor 60 LED Wall for Garden), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2) 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.China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System. 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 Chemical Product 4- 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,15kw Grid Tied Solar System[9] were tested by different statistical approaches.Er08 New CE Approved Small Shovel Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Rosen 8kw Grid Tied on Solar Panel System(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 inGuangxi White Marble Tiles Slabs Floor & Wall.

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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].12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial/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.Grid Tied 11kw Solar Panel System Home Commercial Power Supply; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Hot Sale Frequency Converter/Inverter 380V 50/60Hz, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller$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 0.200cc/300cc Adults Racing Go Kart for Sale Ce Certificate, 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%)Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. 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.0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. Moreover,Jarol Strong Overload Capacity AC Drive Frequency Inverter , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (380V 400Hz 3p AC Drive Hot 15kw Frequency Converter), 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,Sporty Electric Scooter ), and annual cost index of mineral processing equipment.SMD3014/2835 AC/DC Underwater LED Swimming Pool Light, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box. Maximum MAER of 13.5% and minimum R²of 0.Best Selling 4X4 Farm ATV-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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