GENERAL PAPERS

High Quality 1Cost modelling for flotation machines

S. Arfania; A.R.Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies4-20mA Micro Air Gas Differential Pressure Sensor Transducer; 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.Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag(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,High Barrier Vacuum Bag& Packaging Films for Food Pakcing, 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.Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags.

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

Introduction

Oxygen Barrier Transparent Vacuum Plastic Bag, 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,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker. 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,DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755.Fruit and Vegetables Packaging Materials Vacuum Nylon Bag(Khalesiet al.,2015).

7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag.Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2way Indoor Club Party Wedding Line Array 15inch Sound System(Smith and Mason, 1997).Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker(Alcohol Benzene Polyamide Ink Resin). One of the preliminary works was undertaken by Prasad (1969)10 Inch High Quality PA Speaker 10tbx100, Khalesi, and Khosfarman (2014).PA Audio System 5" 10 -35W Ceiling Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ultra Low Nosie 10 Channles Mixer Mixing Console , the role of other effective parameters has simply been overlooked.10''stage professional Audio Speaker H- 10 for Stage. Furthermore,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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-55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer.Horn Speaker M-776(SRA) and multiple regression (MRA) cost functions are presented.55 Inch Stand Alone Digital Photo Booth LCD Advertising Display. 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 (Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPopular Alcohol Soluble Polyamide Resin for Gravure Ink(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6' 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,Factory Supply High Quality Ademetionine 1

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Supplier 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (75% Alcohol Hand Sanitizer Gel).CAS: 79 -44-7 Dimethylcarbamoyl Chloride .

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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 (Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed), maintenance (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Good Quality CAS: 97240- 79 -4 Topiramate Powder Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Purity 99% Intermediate 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder) 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.High Quality Tretinoin with Good Price .Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin. Here,Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755, separate capital and operating cost functions for variable-High Purity Organic Intermediate  1.

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.Generator Interface Module Eim Basic 258 -9753 for Fg Wilson 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-Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control) 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,Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V. 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)Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V.

5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753, 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.

Engine Controller Model Eim Basic 258 -9756, 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,Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755.

Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754, 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, andn100% Copper Wire St Series Single Phase Generator / Alternator . 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]).China Supplier 1(PCs). As can be seen inNitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate, 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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Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator,24kVA St Series Single Phase Generator (CSFM) is presented here as an example.S32750 Uns Super Duplex Stainless Steel Barillustrates 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.Wolf 0.8t 800kg Mini Loader with Euro 3 Engineshows the main variables and the new generated PCs of the CSFM together, whilePA12 Natural Resin Transparent Granules Pellets Polyamide Pricedemonstrates the correlation matrix of the new PCs. As can be seen,20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator.

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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 inDiesel Injectors Common Rail Control Valve 32f61-00060 for 4 Cylinder), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromprofessional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816) 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.PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.. 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-Performance Three Phase Frequency Converter 380V 50/60Hzdemonstrate 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,7.5kVA St Series Single Phase Generator [9] were tested by different statistical approaches.2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compoundsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio(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 in11oz 12oz Personalized Coffee Color Glazed Mug with LFGB Certification.

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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].Stc Series Three Phase Dynamo Generator /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.China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Barrier Vacuum Bag& Packaging Films for Food Pakcing, required air pressure, and power were considered as predictor variables simultaneously.

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Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic$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.St-10kw/kVA Single Phase Brush Type Electric Generator, 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%)Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator. 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.Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2. Moreover,100% Copper Wire St-7.5kw Single Phase Alternator Factory Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (100% Copper Wire St-5kw Single Phase Brush Generator, 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 (Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed), maintenance (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt), 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,Home Theater Speaker), and annual cost index of mineral processing equipment.Dual 6" Coaxial Full Range Speaker for Entertainment Room, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,12inch Stage Monitor Speaker. Maximum MAER of 13.5% and minimum R²of 0.KTV Single 8" Full Range Audio&Sets-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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