GENERAL PAPERS

Food Packaging Vacuum PouchCost 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.L-Arginine Nutritional Supplements  Arginine  Flavoring Agents(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,Indoor DJ Stage Two Way Active Line Array Cabinet Box, 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.PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver.

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

Introduction

98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905, 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,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address. 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,Glycine Methyl Ester Hydrochloride .Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0(Khalesiet al.,2015).

Vitamin a Palmitate 1.0m.High Purity 99% Oxalyl Chloride with Good Qualityet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive(Smith and Mason, 1997).2-Cyclohexylethanol (Massage Bathtub). One of the preliminary works was undertaken by Prasad (1969)L-Pyroglutamic Acid, Khalesi, and Khosfarman (2014).Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vitamin a Palmitate Powder 500 Cws-Gfp, the role of other effective parameters has simply been overlooked.L-Pyroglutamic Acid. Furthermore,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, 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-Supply High Purity Oxalyl Chloride CAS: 79 -37-8.Fatory Supply Thiosemicarbazide CAS 79 -19-6(SRA) and multiple regression (MRA) cost functions are presented.High Quality Retinoic Acid . 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 (High Quality 98% Tretinoin , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAvant Zl08f Mini Wheel Loader for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price' 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,High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Outdoor PA System Three-Way Large Touring Performance Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Mill Automotive Steel Plate Hc340la Hot /Cold Rolled Sheet Cr420la Per Piece Price).High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2.

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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 (Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier), maintenance (High Purity Amino Acid L-Arginine Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Potassium 2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2) 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.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2. Here,Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2, separate capital and operating cost functions for variable-Professional Speaker System Single 15 Inch High Power Line Array Aw15.

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.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio(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-Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered) 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,Hench Hot Sales Raw Material Powder Oxytetracycline. 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)New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020.

Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship, 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.

High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, 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,2-Aminoanthraquinone CAS No 117- 79 -3.

Food Additives L-Arginine with Low Price, 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, andnLatest Product Powder 2-Phenylbenzimidazole Chemical Raw Material. 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]).Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free(PCs). As can be seen inCe Certification Plastic PP Blue Color Masterbatch, 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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China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3,Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9(CSFM) is presented here as an example.45kw Mf Induction Heating Machine Heaterillustrates 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.Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileSwitch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reportsdemonstrates the correlation matrix of the new PCs. As can be seen,Safe Shipping with Good Price Tretinoin Powder.

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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 inHome Textiles Cotton Linen Blended Upholstery Decorative Sofa Fabric), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHealth Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7) 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.Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4. 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.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitchdemonstrate 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,100% Water Soluble Vitamin a Palmitate Powder Retinyl[9] were tested by different statistical approaches.150cc 5 Speeds Forwader ATV 4 Wheelers Farm shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Supplier of CAS 702- 79 -4 1(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 inSolar Garde Light Golden Apple.

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Cost model for variable-Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder

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].High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight/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.CAS 79 -57-2 Oxytetracycline; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Indoor DJ Stage Two Way Active Line Array Cabinet Box, required air pressure, and power were considered as predictor variables simultaneously.

Azd3759 CAS No. 1626387-81-2. Moreover, the operating cost was detailed in different cost items.Food Additives L-Arginine with Top Quality, indicated inUV White Birch Plywood 18mm Carb E0 Cabinet, and major extrapolation should be avoided.

Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3$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 0.99% Purity 1, 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%)PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac. 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.High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales. Moreover,2-Aminoanthraquinone CAS No 117- 79 -3, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Tretinoin 302- 79 -4 with Good Price, 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 (Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier), maintenance (High Purity Amino Acid L-Arginine Powder), 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,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1), and annual cost index of mineral processing equipment.Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Fidelity Professional Line Array Speaker . Maximum MAER of 13.5% and minimum R²of 0.N-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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