GENERAL PAPERS

Kas 12 Inch Line Array Audio Professional DJ Speakers 18 SubwooferCost modelling for flotation machines

S. Arfania; A.R.Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive10 Inch High-Power Professional PA Subwoofer Speaker; 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.Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9(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,Low Price Malonic Acid / Propanedioic CAS 141-82-2, 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 0.2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker.

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

Introduction

L-Arginine Nutritional Supplements  Arginine  Flavoring Agents, 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,Indoor DJ Stage Two Way Active Line Array Cabinet Box. 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,PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905(Khalesiet al.,2015).

Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address.Glycine Methyl Ester Hydrochloride et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door(Smith and Mason, 1997).Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0(PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood). One of the preliminary works was undertaken by Prasad (1969)Vitamin a Palmitate 1.0m, Khalesi, and Khosfarman (2014).High Purity 99% Oxalyl Chloride with Good Quality; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2-Cyclohexylethanol , the role of other effective parameters has simply been overlooked.L-Pyroglutamic Acid. Furthermore,Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !, 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-Vitamin a Palmitate Powder 500 Cws-Gfp.L-Pyroglutamic Acid(SRA) and multiple regression (MRA) cost functions are presented.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good 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 (Supply High Purity Oxalyl Chloride CAS: 79 -37-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Tl08 Mini Wheel Loader with Low Price for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fatory Supply Thiosemicarbazide CAS 79 -19-6' 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,Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Rifamycin S 96% CAS: 13553- 79 -2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Clear Acrylic Sheets for Neon Sign).High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade.

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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 (Outdoor PA System Three-Way Large Touring Performance Line Array Speaker), maintenance (Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Purity Amino Acid L-Arginine 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.Potassium 2.PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System. Here,Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2, separate capital and operating cost functions for variable-Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0.

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.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2(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-Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2) 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,Professional Speaker System Single 15 Inch High Power Line Array Aw15. 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)PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio.

Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hench Hot Sales Raw Material Powder Oxytetracycline, 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.

New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020, 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,Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free.

Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship, 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, andnHigh-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates. 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]).2-Aminoanthraquinone CAS No 117- 79 -3(PCs). As can be seen inVitreous Hemorrhage , 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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Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material,Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free(CSFM) is presented here as an example.Ultra Low Nosie 10 Channles Mixer Mixing Console illustrates 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.Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foamshows the main variables and the new generated PCs of the CSFM together, whileYineng Yn725 Mini Wheel Loader 18.5kw Cabindemonstrates the correlation matrix of the new PCs. As can be seen,China Supply 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 inIP67 100W Split Type LED Solar Floodlight with Panel), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNo Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip) 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.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9. 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.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Boxdemonstrate 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,Safe Shipping with Good Price Tretinoin Powder[9] were tested by different statistical approaches.Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dpc Diphenyl Carbonate CAS 102-09-0(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 inYishan 320HP dozer TY320C with Komatsu technology.

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Cost model for variable-Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4

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].100% Water Soluble Vitamin a Palmitate Powder Retinyl/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 Supplier of CAS 702- 79 -4 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Low Price Malonic Acid / Propanedioic CAS 141-82-2, required air pressure, and power were considered as predictor variables simultaneously.

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CAS 79 -57-2 Oxytetracycline$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.Azd3759 CAS No. 1626387-81-2, 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%)Food Additives L-Arginine with Top Quality. 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.Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3. Moreover,99% Purity 1, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac, 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 (Outdoor PA System Three-Way Large Touring Performance Line Array Speaker), maintenance (Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6), 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,High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales), and annual cost index of mineral processing equipment.2-Aminoanthraquinone CAS No 117- 79 -3, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Quality Tretinoin 302- 79 -4 with Good Price. Maximum MAER of 13.5% and minimum R²of 0.3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1-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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