GENERAL PAPERS

Agriculture Fertilizer N 21% Ammonium SulfateCost 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.Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate(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,Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, 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 0.10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with.

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

Introduction

High Quality 98% Acrylamid Powder CAS 79 -06 1, 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,Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food. 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,Food Grade Lactic Acid 79 -33-4.Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4(Khalesiet al.,2015).

10 " Inch Speaker System PRO Audio Entertainment Speakers .10 -50W 6.5 Inch PA Sound Ceiling Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorbicycle with Efi Fuel Supply and Steel Tube Frame(Smith and Mason, 1997).Professional Audio Speaker Double 10 Inch Line Array (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger). One of the preliminary works was undertaken by Prasad (1969)Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker, Khalesi, and Khosfarman (2014).Custom Plastic Food Contact Packaging Bags; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 Inch 600W High-End Stage Line Array PRO Audio, the role of other effective parameters has simply been overlooked.Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar. Furthermore,Child Resistant Stand up Exit Bag, 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-Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window.Single 10 Inches Passive/Active Full-Range Professional Loudspeaker(SRA) and multiple regression (MRA) cost functions are presented.Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof. 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 (Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Cheap Custom Logo Printing Round Metal Cans with Lids(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array' 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 Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Custom Printed Pet Food Packaging Bags(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3015 1000W Raycus Sheet and Tube Fiber Laser Cutting Machine).Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing.

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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 (Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag), maintenance (Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Amino Acid L-Arginine 99% CAS 74- 79 -3.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag) 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.Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant.Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker.. Here,Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze, separate capital and operating cost functions for variable-Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch.

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.Custom Liquid Stand up Pouch Spout for Food Packaging(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-ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing) 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,Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System. 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)2021 New Compact 10 " Active Line Array Speaker Sound System.

Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PE Dog Food Pouch with Hole, 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.

Dual 10 Inch Line Array for Concert Live Service , 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,Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System.

Double 10'' Compact Active Line Array, 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, andnCAS: 13553- 79 -2; Rifamycin S. 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]).PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(PCs). As can be seen inNatural Wood Woven and Strand Bamboo Veneer Sheets Comaccord, 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.ASTM A276 Uns N08904 904L Stainless Steel Plateshows the main variables and the new generated PCs of the CSFM together, whileDisodium Phosphate Anhydrous as Emulsifier in Food Industrydemonstrates the correlation matrix of the new PCs. As can be seen,Pharmaceutical Intermediate 1.

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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 inGood Quality Corn Light E27/B22 Warm White LED Bulb Lamp), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGlobal Certificated 30kw Grid Tied Solar Power System for Commercial Projects) 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.Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price. 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.Variable Speed Inverter China Frequency Converter ACdemonstrate 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,O-Phthalaldehyde CAS 643- 79 -8[9] were tested by different statistical approaches.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillersshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8(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 inAogrand 75% Alcohol Hand Sanitizer Disinfectant Gel OEM/ODM Cleace.

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Cost model for variable-Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1

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].Dimethylthiotoluene Diamine/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.Professional Digital Audio Line Array System Dual 10 Inch Active; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, required air pressure, and power were considered as predictor variables simultaneously.

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Double 10'' Compact Line Array$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.Karaoke System 10 Inch Sound Speaker Cvr Professional Audio, 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%)2 X HDMI. 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.L10/83267-Professional Audio 10 Inch Coaxial Speaker. Moreover,Single 10 " Waterproof Polyurea Active Line Array Speaker Systems, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag, 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 (Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag), maintenance (Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock), 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,Two-Way Single 10 " Professional Waterproof Speaker), and annual cost index of mineral processing equipment.Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine. Maximum MAER of 13.5% and minimum R²of 0.Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance-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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