GENERAL PAPERS

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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.High Quality Retinoic Acid (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 Quality 98% Tretinoin , 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.Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price.

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

Introduction

Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, 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,Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. 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,Rifamycin S 96% CAS: 13553- 79 -2.Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2(Khalesiet al.,2015).

High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade.Outdoor PA System Three-Way Large Touring Performance Line Array Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Multi Birch Veneer Plywood Manufacturer(Smith and Mason, 1997).Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip). One of the preliminary works was undertaken by Prasad (1969)High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2, Khalesi, and Khosfarman (2014).Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Purity Amino Acid L-Arginine Powder, the role of other effective parameters has simply been overlooked.Potassium 2. Furthermore,PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System, 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-Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0(SRA) and multiple regression (MRA) cost functions are presented.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2. 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 (Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSimple Upholstered Copper Nail Vintage Style Velvet Lounge Sofa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Speaker System Single 15 Inch High Power Line Array Aw15' 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,Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa 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,Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Power Electric Generator 2200kw Diesel Cummins Engine).2-Aminoanthraquinone CAS No 117- 79 -3.

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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 (Food Additives L-Arginine with Low Price), maintenance (Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Supply 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3) 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.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9.Safe Shipping with Good Price Tretinoin Powder. Here,Dpc Diphenyl Carbonate CAS 102-09-0, separate capital and operating cost functions for variable-Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4.

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.100% Water Soluble Vitamin a Palmitate Powder Retinyl(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-China Supplier of CAS 702- 79 -4 1) 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,Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder. 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)High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight.

CAS 79 -57-2 Oxytetracycline, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Azd3759 CAS No. 1626387-81-2, 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.

Food Additives L-Arginine with Top Quality, 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,Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3.

99% Purity 1, 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, andnPT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac. 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]).High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales(PCs). As can be seen inSelf Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag, 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.Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Controlshows the main variables and the new generated PCs of the CSFM together, while500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemicaldemonstrates the correlation matrix of the new PCs. As can be seen,Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China.

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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 inPCD Dies Machine Drawing Polycrystalline Wire Die), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromStage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220) 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.N. 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.RF Vacuum Face Lifting and Slimming Chin Machinedemonstrate 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,Vitamin a Palmitate CAS 79 -81-2[9] were tested by different statistical approaches.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out(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 inTop Quality Frozen Potato Strips with Best Price.

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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].40wx2 10 " Portable PS Series Party 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.100% CAS 79 -57-2 Oxytetracycline Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality 98% Tretinoin , 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.Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol. Moreover,Best Quality Skin Care Pure Tretinoin 302- 79 -4, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Direct Sale Dimethyl Gonane 702- 79 -4, 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 (Food Additives L-Arginine with Low Price), maintenance (Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material), 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,Phthalaldehyde CAS 643- 79 -8), and annual cost index of mineral processing equipment.Chlorhexidine Diacetate CAS No 206986- 79 -0, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS 79 -14-1 Glycolic Acid 70%. Maximum MAER of 13.5% and minimum R²of 0.Compact Neodymium Line Array 12inch 400W Passive Speaker PA System-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound ProbeDiesel Fuel Injection Nozzle Dlla160pn141Corresponding author