GENERAL PAPERS

Disodium Phosphate Anhydrous as Emulsifier in Food IndustryCost modelling for flotation machines

S. Arfania; A.R.Custom Zip Bag Plastic Stand-up Pouch Sweet Child ProofNew Arrival Mr Series Audio Mixer with DSP Mr-10fx; 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.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System(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,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, 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 0.10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker.

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

Introduction

Single 10 Inch 2 Way Mini Portable Line Array Speaker, 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,China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality. 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,Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7.Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery(Khalesiet al.,2015).

Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0.High Quality Custom Printed Pet Food Packaging Bagset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium(Smith and Mason, 1997).Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing(Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price). One of the preliminary works was undertaken by Prasad (1969)Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag, Khalesi, and Khosfarman (2014).Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Amino Acid L-Arginine 99% CAS 74- 79 -3, the role of other effective parameters has simply been overlooked.Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp. Furthermore,Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy 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-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.(SRA) and multiple regression (MRA) cost functions are presented.Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze. 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 (Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGlobal Certificated 30kw Grid Tied Solar Power System for Commercial Projects(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Custom Liquid Stand up Pouch Spout for Food Packaging' 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,PE Dog Food Pouch with Hole

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10 Inch Line Array for Concert Live Service , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (HOWO D12 Engine Spare Parts Vg1246030015 Piston).Double 10'' Compact Active Line Array.

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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 (CAS: 13553- 79 -2; Rifamycin S), maintenance (PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (99% Purity 1-Bromo-3) 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.Pharmaceutical Intermediate 1.CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price. Here,Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price, separate capital and operating cost functions for variable-O-Phthalaldehyde CAS 643- 79 -8.

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.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8(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-Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1) 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,Dimethylthiotoluene Diamine. 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)Professional Digital Audio Line Array System Dual 10 Inch Active.

10 Inch Sound System Speaker Box China Line Array Audio Systems, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sulfasalazine CAS No. 599- 79 -1, 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.

Double 10'' Compact Line Array, 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,Karaoke System 10 Inch Sound Speaker Cvr Professional Audio.

2 X HDMI, 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, andnL10/83267-Professional Audio 10 Inch Coaxial Speaker. 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]).Single 10 " Waterproof Polyurea Active Line Array Speaker Systems(PCs). As can be seen inVariable Speed Inverter China Frequency Converter AC, 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.Steel Wheel Hub Buggy 150cc ATVshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Printed Food Packaging Doypack Aluminium Zipper Bagsdemonstrates the correlation matrix of the new PCs. As can be seen,Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine.

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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 inNew Luggage Universal Wheel Smooth Stripe Sticker Suitcase), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Speaker Double 10'' Neodymium Line Array) 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.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers. 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.Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtubdemonstrate 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,Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag[9] were tested by different statistical approaches.Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Componentsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker(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 inCarton Box Making Machine.

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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].Cheap Stage Speaker Design for PA System 200W/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.Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10inch 3 Way Professional Stage Line Array Speaker$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.Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, 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%)Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1. 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.Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags. Moreover,Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Suking Hot Selling Chemical Product , 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 (CAS: 13553- 79 -2; Rifamycin S), maintenance (PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade), 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,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder), and annual cost index of mineral processing equipment.Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7. Maximum MAER of 13.5% and minimum R²of 0.Food Packaging Bag-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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