GENERAL PAPERS

High Quality Printed Food Packaging Doypack Aluminium Zipper BagsCost 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.Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch(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,Custom Liquid Stand up Pouch Spout for Food Packaging, 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.ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing.

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

Introduction

Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System, 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,2021 New Compact 10 " Active Line Array Speaker Sound System. 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,Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System.PE Dog Food Pouch with Hole(Khalesiet al.,2015).

Dual 10 Inch Line Array for Concert Live Service .Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch(Smith and Mason, 1997).Double 10'' Compact Active Line Array(Hench Hot Sales Raw Material Powder Oxytetracycline). One of the preliminary works was undertaken by Prasad (1969)CAS: 13553- 79 -2; Rifamycin S, Khalesi, and Khosfarman (2014).PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price, the role of other effective parameters has simply been overlooked.Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery. Furthermore,99% Purity 1-Bromo-3, 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-Pharmaceutical Intermediate 1.CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price(SRA) and multiple regression (MRA) cost functions are presented.Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price. 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 (O-Phthalaldehyde CAS 643- 79 -8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Speaker Double 10'' Neodymium Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8' 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,Sulfasalazine CAS No. 599- 79 -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,Double 10'' Compact Line Array, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Karaoke System 10 Inch Sound Speaker Cvr Professional Audio(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Super Bright Low-Voltage High-Efficiency High-Density Light Bar 24V /12V 60/120LEDs Strip).2 X HDMI.

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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 (L10/83267-Professional Audio 10 Inch Coaxial Speaker), maintenance (Single 10 " Waterproof Polyurea Active Line Array Speaker Systems) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Two-Way Single 10 " Professional Waterproof Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power 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.Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine.Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance. Here,Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers, separate capital and operating cost functions for variable-Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag.

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.Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker(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-Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers) 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,Cheap Stage Speaker Design for PA System 200W. 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)Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder.

Line Arrays Speaker Dual 10 Inch Powered Sound system, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging, 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 10inch 3 Way Professional Stage Line Array Speaker, 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,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price.

Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, 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, andnElectronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags. 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]).Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity(PCs). As can be seen inCustom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtub, 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.KTV 10 Inch Speaker Box with Good Soundshows the main variables and the new generated PCs of the CSFM together, whileUniversal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kitdemonstrates the correlation matrix of the new PCs. As can be seen,Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7.

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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 inVehicle Toy), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 23dBi Enclosure WiFi Antenna) 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.B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker. 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.LG LD550DUN-TKB1 video wall system with matrix switcherdemonstrate 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,PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System[9] were tested by different statistical approaches.Samsung LTI550HN16 1920X1080P screen monitor LCD video wallshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags(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 in99% Purity Andarine/S4 Sarms Powder CAS: 401900-40-1.

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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].All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4/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.Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Liquid Stand up Pouch Spout for Food Packaging, required air pressure, and power were considered as predictor variables simultaneously.

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PS10 Professional Sound System 10inch Audio Speaker Box$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.Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone, 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%)Dare 10inch Passive Line Array Sound System. 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.Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag. Moreover,Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker, 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 (L10/83267-Professional Audio 10 Inch Coaxial Speaker), maintenance (Single 10 " Waterproof Polyurea Active Line Array Speaker Systems), 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,Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag), and annual cost index of mineral processing equipment.High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Manufacturer Supply 1. Maximum MAER of 13.5% and minimum R²of 0.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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