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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.Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship(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,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, 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-Aminoanthraquinone CAS No 117- 79 -3.

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

Introduction

Food Additives L-Arginine with Low Price, 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,Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material. 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 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free.China Supply 1(Khalesiet al.,2015).

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 -9et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light(Smith and Mason, 1997).Safe Shipping with Good Price Tretinoin Powder(Nordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing). One of the preliminary works was undertaken by Prasad (1969)Dpc Diphenyl Carbonate CAS 102-09-0, Khalesi, and Khosfarman (2014).Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% Water Soluble Vitamin a Palmitate Powder Retinyl, the role of other effective parameters has simply been overlooked.China Supplier of CAS 702- 79 -4 1. Furthermore,Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder, 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-High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight.CAS 79 -57-2 Oxytetracycline(SRA) and multiple regression (MRA) cost functions are presented.Azd3759 CAS No. 1626387-81-2. 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 (Food Additives L-Arginine with Top Quality, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3' 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 Tretinoin 302- 79 -4 with Good Price

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ladies Dress Clothing Convertible Evening Dresses Multi-Way Long Backless Sexy White Bridesmaids for Wedding).High Fidelity Professional Line Array Speaker .

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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 (N), maintenance (Vitamin a Palmitate CAS 79 -81-2) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Price Diclofenac Sodium with High Quality) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (40wx2 10 " Portable PS Series Party Speaker) 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.100% CAS 79 -57-2 Oxytetracycline Powder.New Arrival Mr Series Audio Mixer with DSP Mr-12fx. Here,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality, separate capital and operating cost functions for variable-Powered Speaker System for Home Theater.

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.Cosmetic Grade L-Arginine with High Quality(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-320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate) 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,Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol. 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)Best Quality Skin Care Pure Tretinoin 302- 79 -4.

Factory Direct Sale Dimethyl Gonane 702- 79 -4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Phthalaldehyde CAS 643- 79 -8, 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.

Chlorhexidine Diacetate CAS No 206986- 79 -0, 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,CAS 79 -14-1 Glycolic Acid 70%.

Compact Neodymium Line Array 12inch 400W Passive Speaker PA System, 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, andnProfessional 10 " Aluminum Speaker Basket. 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]).New Arrival Mr Series Audio Mixer with DSP Mr-10fx(PCs). As can be seen inHotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa , 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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Outdoor Line Array PA System Loudspeaker,Karaoke Wireless Portable Wooden Bluetooth PA Speaker(CSFM) is presented here as an example.Two-Way Single 10 " Professional Waterproof Speakerillustrates 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.Three Wheel Trolley Tube Type Tire 90/90-18shows the main variables and the new generated PCs of the CSFM together, whileoff Road 200cc Motorcycle for Hot Saledemonstrates the correlation matrix of the new PCs. As can be seen,12" Line Array Loud Speaker Sound System Professional PA.

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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 inSpecification of round carbon steel bars grade 8.8 bolt material), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from90/90-21 China Super Cheap Motorcycle Tire/Tyre) 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 Line Array PA System S1210 Sound. 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.High Temperature 3 Side Seal Retort Pouch for Corndemonstrate 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,Cosmetic Material 99% Purity Tretinoin Powder[9] were tested by different statistical approaches.New Arrival Mr Series Audio Mixer with DSP Mr-12fxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !(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 inSea Shipping LCL Freight Forwarder From China to Klaipeda Lithuania Professional Fast Reliable Logistics Services.

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Cost model for variable-Spts

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 Power DJ Sound Equipment System Line Array PA Speaker/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.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, required air pressure, and power were considered as predictor variables simultaneously.

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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.Anti-Wrinkle and Aging Chemical Raw Materials. Moreover,High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Waterproof Childproof Ziplock Valve Bag, 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 (N), maintenance (Vitamin a Palmitate CAS 79 -81-2), 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,Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2), and annual cost index of mineral processing equipment.Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price. Maximum MAER of 13.5% and minimum R²of 0.L-Arginine Powder Amino Acid Pure Manufacturer-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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