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Industry Grade Ammonium PolyphosphateCost 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.Additive PE Green Color Masterbatches Manufacturer(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,L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot 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.L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer.

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

Introduction

L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W, 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,OEM Custom Square Rectangle Round Rubber Cover. 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,N21% White Granular Ammonium Sulphate.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%(Khalesiet al.,2015).

Agriculture Fertilizer N 21% Ammonium Sulfate.21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystallineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios(Smith and Mason, 1997).Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory(JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply). One of the preliminary works was undertaken by Prasad (1969)Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer, Khalesi, and Khosfarman (2014).White Extrusion Granular Ammonium Sulphate China Factory; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer, the role of other effective parameters has simply been overlooked.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s. Furthermore,China Suppliers Alone Type Wraped Beam Disc Machenism Padlock, 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-Dust Proof Steel Shackle Padlocks with Master Key.Padlock-G38PDP(SRA) and multiple regression (MRA) cost functions are presented.Breaker Lock. 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 (Padlock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Alone Type Wraped Beam Leaves Iron Padlock ' 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),FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Jewelry Santa Claus Jr Brooch Christmas Gift).Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011.

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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 (Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm), maintenance (Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Customized Rubber Spacer Black Silicone Bushing.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gym Rubber Flooring Floor Mat Roll) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ihi Turbocharger 2001-04 Peugeot) 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.Gt1749V .2004-10 for Volkswagen. Here,Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan, separate capital and operating cost functions for variable-T250-04 452055-5004s Turbocharger for Gemini III Engine.

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.Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer(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-Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar) 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,Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine. 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)Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna.

Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Supply Glycyl-L-Tyrosine, 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.

Dl-Isoleucine Powder CAS 443- 79 -8, 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,Glycyl- L-Tyrosine; 658- 79 -7.

L-Pyroglutamic Acid, 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, andnDl-Isoleucine Powder CAS Number 443- 79 -8. 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]).98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts(PCs). As can be seen inFood Packaging Bag, 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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High Purity 99.0%Min. Ademetionine Disulfate Tosylate ,Centella Asiatica Extract 99% Asiaticoside 16830-15-2(CSFM) is presented here as an example.Whole Sale Hammerhead 150cc Go Kart with Partsillustrates 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.China Wolf Wl80 Articulated Mini Loadershows the main variables and the new generated PCs of the CSFM together, whileCAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plasticsdemonstrates the correlation matrix of the new PCs. As can be seen,Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic.

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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 inUL Ce Epistar SMD2835 240LEDs/M RGBA Flexible LED Strip Light), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable Laptop Digital Automatic Ultrasound Bone Densitometer) 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.Polyethylene Green Color Masterbatch. 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.Roof Mounting 20kw Grid Tied Solar Power System Homedemonstrate 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,Pipe Bevelling Machine [9] were tested by different statistical approaches.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Padshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder(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 inEuropean Modern Living Room Bedroom Restaurant Hotel Model Bubble Ball Glass Pendant Light.

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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].Green Color HDPE Masterbatch/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.Blue Masterbatch for Film; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale, required air pressure, and power were considered as predictor variables simultaneously.

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Universal LPG Gas Completed ECU Conversion Kit$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.Act Best Seller CNG LPG Gas Car Emulator, 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%)CNG/LPG Rail Injector Type Gas 4 Cylinders. 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.Act MP 48 ECU Switch/Act 2568d Switch. Moreover,Fuel Gas Cylinder ECU 2568d Map Sensors, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit, 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 (Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm), maintenance (Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a), 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,Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits), and annual cost index of mineral processing equipment.Electric Pipe End Bevelling Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,T-Electric Pipe Bevelling Machine . Maximum MAER of 13.5% and minimum R²of 0.Pneumatic Pipe Beveling Machine High Performence-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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