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Two-Way Single 10 " Professional Waterproof SpeakerCost modelling for flotation machines

S. Arfania; A.R.China Supplier of CAS 702- 79 -4 1Three Wheel Trolley Tube Type Tire 90/90-18; 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.Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder(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 Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, 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.CAS 79 -57-2 Oxytetracycline.

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

Introduction

Azd3759 CAS No. 1626387-81-2, 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,Food Additives L-Arginine with Top Quality. 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,Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3.99% Purity 1(Khalesiet al.,2015).

PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac.High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Saleset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 62442 Shiny and Non Phena Powder 62 44 2(Smith and Mason, 1997).2-Aminoanthraquinone CAS No 117- 79 -3(off Road 200cc Motorcycle for Hot Sale). One of the preliminary works was undertaken by Prasad (1969)High Quality Tretinoin 302- 79 -4 with Good Price, Khalesi, and Khosfarman (2014).3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, the role of other effective parameters has simply been overlooked.High Fidelity Professional Line Array Speaker . Furthermore,N, 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-Vitamin a Palmitate CAS 79 -81-2.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out(SRA) and multiple regression (MRA) cost functions are presented.Best Price Diclofenac Sodium with High Quality. 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 (40wx2 10 " Portable PS Series Party Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;100% CAS 79 -57-2 Oxytetracycline Powder' 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,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Quality Skin Care Pure Tretinoin 302- 79 -4(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30s/60s/90s Nail Supplies Salon Gel UV Light Lamp for Curing Polish 72W Print Your Brand).Factory Direct Sale Dimethyl Gonane 702- 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 (Phthalaldehyde CAS 643- 79 -8), maintenance (Chlorhexidine Diacetate CAS No 206986- 79 -0) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS 79 -14-1 Glycolic Acid 70%.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Compact Neodymium Line Array 12inch 400W Passive Speaker PA System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional 10 " Aluminum Speaker Basket) 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.New Arrival Mr Series Audio Mixer with DSP Mr-10fx.Factory Price Powder Mannitol with High Quality. Here,Outdoor Line Array PA System Loudspeaker, separate capital and operating cost functions for variable-Karaoke Wireless Portable Wooden Bluetooth PA Speaker.

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.12" Line Array Loud Speaker Sound System Professional PA(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-15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker) 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,Professional Line Array PA System S1210 Sound. 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)Cosmetic Material 99% Purity Tretinoin Powder.

High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Spts, 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 Power DJ Sound Equipment System Line Array PA 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,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array.

Best Price Medicine Grade Lanosterol Powder, 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 Professional Audio Loudspeaker PA Stage Active Line Array. 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]).PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address(PCs). As can be seen in90/90-21 China Super Cheap Motorcycle Tire/Tyre, 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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Cosmetic Grade L-Arginine with Best Price,Anti-Wrinkle and Aging Chemical Raw Materials(CSFM) is presented here as an example.High Temperature 3 Side Seal Retort Pouch for Cornillustrates 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.New Arrival Mr Series Audio Mixer with DSP Mr-12fxshows the main variables and the new generated PCs of the CSFM together, while20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machinedemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery.

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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 inGood Performance LED Garden Light & Outdoor), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory-Engineer White Oak Veneer in 0.25mm) 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 Sound Speaker Single 8 Inch Portable 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.Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Lightdemonstrate 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,Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate[9] were tested by different statistical approaches.Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Holeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price(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 inAluminum Square Reception Desk Office Furniture Conference Meeting Negotiating Table.

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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].White Powder Vitamin a for Food and Feed Grade/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.Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, required air pressure, and power were considered as predictor variables simultaneously.

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Q210 Passive PA Speaker 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.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient, 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%)Professional 24 Channels Digital Audio Mixer Console. 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.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements. Moreover,Skin Care Raw Material Vitamin a Palmitate Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Lf Drivers 10 Inches Professional Speaker Pw1032-64, 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 (Phthalaldehyde CAS 643- 79 -8), maintenance (Chlorhexidine Diacetate CAS No 206986- 79 -0), 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" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial), and annual cost index of mineral processing equipment.Made in China PA Speaker System Three Way Loudspeakers, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Line Array Speaker Professional PA System Two Way Full Rang Passive . Maximum MAER of 13.5% and minimum R²of 0.Pyridinecas Number 110//86//1 Used as Chemical Reagent-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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