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CAS 81-48-1 Solvent Violet 13 for Dyestuff PowderCost modelling for flotation machines

S. Arfania; A.R.Professional Speker System 12 Inch PA Line Array Audio S1210Vectron Frequency Inverter; 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.Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36(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,Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch, 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.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate.

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

Introduction

Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker, 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,Passive Single 12'' Line Array Loudspeaker 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,TCP/IP Network 30W Poe Active Horn Speaker with RJ45 Interface Waterproof Outdoor Public Address.TCP/IP Network 15W Poe Active Horn Speaker Waterproof Outdoor Use(Khalesiet al.,2015).

99% Proparacaine Hydrochloride / HCl CAS 5875-06-9.Professional Speaker PRO Audio System Compact Line Array PA Lq10et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate(Smith and Mason, 1997).Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1(Zl08 Wheel Loader Wl80 Wolf Mini). One of the preliminary works was undertaken by Prasad (1969)125541 -22-2 Piperidine 1-N-Boc-4- , Khalesi, and Khosfarman (2014).CAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Blended Powder Oil Liquid Ripex 225 for Muscle Growth, the role of other effective parameters has simply been overlooked.Good Effect for Treating Infertility in Women Clom CAS: 911-45-5. Furthermore,Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 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-White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal.professional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816(SRA) and multiple regression (MRA) cost functions are presented.Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptive. 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 (Bulksupplement Vitamin a Acetate 0.5miu Ws Feed Grade CAS No 127-47-9, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Low Price Malonic Acid / Propanedioic CAS 141-82-2' 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,98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Glycine Methyl Ester Hydrochloride (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (925 Sterling Silver Bangle Charm Full Diamond Arrow Opening Trendy Fashion Jewelry).Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0.

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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 (Vitamin a Palmitate 1.0m), maintenance (High Purity 99% Oxalyl Chloride with Good Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2-Cyclohexylethanol .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (L-Pyroglutamic Acid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !) 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.Vitamin a Palmitate Powder 500 Cws-Gfp.L-Pyroglutamic Acid. Here,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, separate capital and operating cost functions for variable-Supply High Purity Oxalyl Chloride CAS: 79 -37-8.

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.Fatory Supply Thiosemicarbazide CAS 79 -19-6(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-High Quality Retinoic Acid ) 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,High Quality 98% Tretinoin . 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)Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price.

Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free, 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.

Rifamycin S 96% CAS: 13553- 79 -2, 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 Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2.

High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade, 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, andnOutdoor PA System Three-Way Large Touring Performance Line Array 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]).Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(PCs). As can be seen in2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift, 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.62442 Shiny and Non Phena Powder 62 44 2shows the main variables and the new generated PCs of the CSFM together, whileKas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwooferdemonstrates the correlation matrix of the new PCs. As can be seen,Potassium 2.

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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 Classic American Style Upholstery Sofa Covering Fabric), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Tl08 Mini Wheel Loader with Low Price for Sale) 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.Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2. 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.Vitreous Hemorrhage demonstrate 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,Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0[9] were tested by different statistical approaches.Dual 10inch Powerful Line Array Speaker Ds210shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2(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 inPF1010 PF -1210 PF1214 Construction Small Basalt Gravel Impact Crusher.

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Cost model for variable-Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2

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].Professional Speaker System Single 15 Inch High Power Line Array Aw15/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.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch, required air pressure, and power were considered as predictor variables simultaneously.

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New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020$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.Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free, 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%)Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship. 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 Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates. 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 (Food Additives L-Arginine with Low 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 (Vitamin a Palmitate 1.0m), maintenance (High Purity 99% Oxalyl Chloride with Good Quality), 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,Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material), and annual cost index of mineral processing equipment.Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,China Supply 1. Maximum MAER of 13.5% and minimum R²of 0.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3-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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