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.Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(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 Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2, 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.Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier.

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

Introduction

High Purity Amino Acid L-Arginine Powder, 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,Potassium 2. 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 Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System.Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2(Khalesiet al.,2015).

Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder(Smith and Mason, 1997).Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2(150cc 5 Speeds Forwader ATV 4 Wheelers Farm ). One of the preliminary works was undertaken by Prasad (1969)Professional Speaker System Single 15 Inch High Power Line Array Aw15, Khalesi, and Khosfarman (2014).PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered, the role of other effective parameters has simply been overlooked.Hench Hot Sales Raw Material Powder Oxytetracycline. Furthermore,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020, 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-Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free.Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship(SRA) and multiple regression (MRA) cost functions are presented.High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates. 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 (2-Aminoanthraquinone CAS No 117- 79 -3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Food Additives L-Arginine with Low Price' 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,Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Safe Shipping with Good Price Tretinoin Powder, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dpc Diphenyl Carbonate CAS 102-09-0(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Diving Store Rechargeable LED Light to 100 Meters).Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4.

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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 (100% Water Soluble Vitamin a Palmitate Powder Retinyl), maintenance (China Supplier of CAS 702- 79 -4 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS 79 -57-2 Oxytetracycline) 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.Azd3759 CAS No. 1626387-81-2.Food Additives L-Arginine with Top Quality. Here,Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3, separate capital and operating cost functions for variable-99% Purity 1.

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.PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac(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-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales) 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,2-Aminoanthraquinone CAS No 117- 79 -3. 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 Tretinoin 302- 79 -4 with Good Price.

3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, 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 Fidelity Professional Line Array Speaker , 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,N.

Vitamin a Palmitate CAS 79 -81-2, 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, andnIP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out. 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]).Best Price Diclofenac Sodium with High Quality(PCs). As can be seen inUV White Birch Plywood 18mm Carb E0 Cabinet, 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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100% CAS 79 -57-2 Oxytetracycline Powder,New Arrival Mr Series Audio Mixer with DSP Mr-12fx(CSFM) is presented here as an example.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6illustrates 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.Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furnitureshows the main variables and the new generated PCs of the CSFM together, whileZl08 0.8 Ton Garden Tractor Pay Loader 800kg Minidemonstrates the correlation matrix of the new PCs. As can be seen,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality.

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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 inInsulated Lunch Bag Box Organizer Leakproof Meal Prep Tote Cooler with Zipper Closure for Women Men Work School Picnic Hiking Beach), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use) 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.Cosmetic Grade L-Arginine with High Quality. 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.Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10demonstrate 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,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate[9] were tested by different statistical approaches.Two-Way Single 10 " Professional Waterproof Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol(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 inNew Design Mens Polo Shirt 100% Cotton Customized for Men.

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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].Factory Direct Sale Dimethyl Gonane 702- 79 -4/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.Phthalaldehyde CAS 643- 79 -8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2, required air pressure, and power were considered as predictor variables simultaneously.

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Compact Neodymium Line Array 12inch 400W Passive Speaker PA System$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.Professional 10 " Aluminum Speaker Basket, 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%)New Arrival Mr Series Audio Mixer with DSP Mr-10fx. 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.Factory Price Powder Mannitol with High Quality. Moreover,Outdoor Line Array PA System Loudspeaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Karaoke Wireless Portable Wooden Bluetooth PA Speaker, 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 (100% Water Soluble Vitamin a Palmitate Powder Retinyl), maintenance (China Supplier of CAS 702- 79 -4 1), 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,12" Line Array Loud Speaker Sound System Professional PA), and annual cost index of mineral processing equipment.15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Line Array PA System S1210 Sound. Maximum MAER of 13.5% and minimum R²of 0.Cosmetic Material 99% Purity Tretinoin Powder-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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