GENERAL PAPERS

Raw Material Benzocaine Powder CAS 94-09-7 Pain Killer FactoryCost modelling for flotation machines

S. Arfania; A.R.PRO Audio PA Speaker New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620; 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.Top Quality Tretinoin Powder  Retinoic Acid for Skin Care(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,TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof, 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.High Quality Skin Care Tretinoin Powder with Best Price.

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

Introduction

Professional Speker System 12 Inch PA Line Array Audio S1210, 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,Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36. 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,Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVectron Frequency Inverter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animal' 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,2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,L-Arginine Nutritional Supplements  Arginine  Flavoring Agents, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Indoor DJ Stage Two Way Active Line Array Cabinet Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (School Bags for Girls 2021 Sweet Cute Cartoon Princess Cat Children Backpack Kids Lace Bookbag).PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Driver.

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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 (98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905), maintenance (Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Glycine Methyl Ester Hydrochloride .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vitamin a Palmitate 1.0m) 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.High Purity 99% Oxalyl Chloride with Good Quality.2-Cyclohexylethanol . Here,L-Pyroglutamic Acid, separate capital and operating cost functions for variable-Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !.

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.Vitamin a Palmitate Powder 500 Cws-Gfp(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-L-Pyroglutamic 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,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price. 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)Supply High Purity Oxalyl Chloride CAS: 79 -37-8.

Fatory Supply Thiosemicarbazide CAS 79 -19-6, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Retinoic Acid , 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 Quality 98% Tretinoin , 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,Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price.

Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, 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, andnPharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. 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]).Rifamycin S 96% CAS: 13553- 79 -2(PCs). As can be seen inKodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite, 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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High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade,Outdoor PA System Three-Way Large Touring Performance Line Array Speaker(CSFM) is presented here as an example.2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forkliftillustrates 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.Frequency Converter 60Hz 50Hz 150HPshows the main variables and the new generated PCs of the CSFM together, while15' Water-Proof Installation Long-Throw Speaker with 100V Transformerdemonstrates the correlation matrix of the new PCs. As can be seen,Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6.

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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 in15 Buttons Hajj Player for Morocco), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10 Inch High-Power Professional PA Subwoofer Speaker) 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.Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier. 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.China Tl08 Mini Wheel Loader with Low Price for Saledemonstrate 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,High Purity Amino Acid L-Arginine Powder[9] were tested by different statistical approaches.Skin Care Raw Material Vitamin a Palmitate Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Potassium 2(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 inHigh Quality Bright Color Self Grippiing Hook & Loop Strap with Plastic Buckle.

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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].Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2/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.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Speaker System Single 15 Inch High Power Line Array Aw15$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.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio, 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%)Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered. 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.Hench Hot Sales Raw Material Powder Oxytetracycline. Moreover,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free, 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 (98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905), maintenance (Lucky Tone SIP PA System 15W Poe Ceiling Speaker with Built-in Amplifier and Fire Dome for Public Address), 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,Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship), and annual cost index of mineral processing equipment.High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,2-Aminoanthraquinone CAS No 117- 79 -3. Maximum MAER of 13.5% and minimum R²of 0.Food Additives L-Arginine with Low Price-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.CAS 79 -57-2 Oxytetracycline.Azd3759 CAS No. 1626387-81-2.High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, Montreal. 319 pp.         [Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Food Additives L-Arginine with Top Quality.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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