GENERAL PAPERS

High Fidelity Professional Line Array Speaker 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.3phase VFD(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,0.75kw 1HP AC Frequency Inverter, 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.Round Gloss Tin Can Metal for Edible Olive Oil Canning.

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

Introduction

Universal Vector Inverter, 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,Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive. 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-Performance Variable Frequency Inverter 3-Phase 380V.Wl80 Mini Loader From Wolf(Khalesiet al.,2015).

Wolf Mini Wheel Loader Wl950 Farm.Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Line Array System Single 10 Inch Neodymium Vr10(Smith and Mason, 1997).Tin Cans with Metal Cover for Paint or Chemical Packaging(Plastic Sheet Machine PC Polycarbonate Solid). One of the preliminary works was undertaken by Prasad (1969)Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing, Khalesi, and Khosfarman (2014).5L Chemical Oil Tinplate Can with Metal Press Cover; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail, the role of other effective parameters has simply been overlooked.0.28mm Red Oak Artificial Veneer. Furthermore,Olive Oil Metal Container Edible Tin Can with Plastic Lid, 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-5L Engine Motor Oil Can Screw Top Rectangular Metal Tin.Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top(SRA) and multiple regression (MRA) cost functions are presented.Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box. 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 (New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Food Grade 280ml Empty Tin Can for Camellia Oil' 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,800W Electric Scooter/Motorcycle with LED Light

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Citycoco Electric Motorcycle E6 Cheap OEM E Bike, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Free Sample Cheap UAE /UK/ USA Double Flag Gold Metal Pin).Euro5.

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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 (Retro Scooters), maintenance (2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle) 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.800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter.Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz. Here,Multi Birch Veneer Plywood Manufacturer, separate capital and operating cost functions for variable-Empty Round Tin Can Paint Package Container.

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.Factory-Engineer White Oak Veneer in 0.25mm(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-Rectangular Brake Oil Container Motor Engine Tin Can) 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,Customized Multi Birch Veneer Plywood Manufacturer. 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)Edible Oil Can Manufacturer Square Food Grade Metal Tin.

China Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction, 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.

CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket, 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,1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10.

800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle, 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, andnMetal Tin Can Engine Oil Empty Tinplate Container. 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]).Rosen 35kw Grid Tied on Solar System to Global Market(PCs). As can be seen inUniversal LPG Gas Completed ECU Conversion Kit, 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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800W 60V20ah Brushless Electric Motorcycles,10L Customized Tin Cans Paint Coating Used Metal Square Can(CSFM) is presented here as an example.Police Using of Motorcycle for Cruiser with Displacement 320ccillustrates 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.Polyethylene Green Color Masterbatchshows the main variables and the new generated PCs of the CSFM together, whileYn725 Yineng Mini Wheel Loader 18.5kw Cabindemonstrates the correlation matrix of the new PCs. As can be seen,500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike.

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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 inWater Resistant Weekender Luggage Duffel Overnight Travel Bag Sports Gym), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from2L Galvanized Tin Cans for Cooking Oil with Plastic Lids) 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 0.800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale. 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.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBidemonstrate 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,Cheap Small Electric Scooter Moped 800W Motorcycle[9] were tested by different statistical approaches.Popular 800W Power Electric Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter for Small Power Motors 3pH 380V 50/60Hz(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 inNaropin Anesthesia Injection Ropivacaine Pure Powder 132112-35-7 USA Safe Delivery 7days.

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Cost model for variable-Manufacturer of Rectangular Brake Oil Motor Engine Tin Can

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].2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic 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.Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.75kw 1HP AC Frequency Inverter, required air pressure, and power were considered as predictor variables simultaneously.

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Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid$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 0.800W Electric Scooter , 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%)Good-Sealing Square Tin Can Engine Oil with Metal Lid. 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.0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood. Moreover,Special Design Braided Veneer with Red Walnut, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Natural Wood Bintangor Face Veneer for Door and Furniture, 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 (Retro Scooters), maintenance (2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel), 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,Vector Frequency Converter with High Performance for Automatic Production Equipment), and annual cost index of mineral processing equipment.Natural Horizontal Bamboo Veneer for Panel Board, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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