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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.Horn Professional Speaker H3(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,Coaxial Loudspeaker TD12, 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 0.18'' Subwoofer Speaker Box Ls1200.

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

Introduction

Dual 12" Subwoofer Speaker Box, 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,DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional. 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,Fast Delivery 1.Professional Speaker Box F12+(Khalesiet al.,2015).

Df B&C Trees Speaker Subwoofer Audio Professional.15'' Coaxial Speaker et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3kwh 150ah Solar Home System Li-ion Battery Factory(Smith and Mason, 1997).Customs Guaranteed 1(Chinese Suppliers Okoume Wood Face Veneer for Malaysia). One of the preliminary works was undertaken by Prasad (1969)China Factory Supply Ethylmagnesium Bromide CAS 925-90-6, Khalesi, and Khosfarman (2014).Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Manufacturer Supply Bdo Novel Intermediate 1, the role of other effective parameters has simply been overlooked.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro. Furthermore,99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6, 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-China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole.400 Watt Portable Music Player Speaker Professional Audio(SRA) and multiple regression (MRA) cost functions are presented.Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. 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 (Dm 15 Inch PA Full Sound Systems Professional PRO Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;12inch KTV Bar PA Full Sound Speaker System Audio' 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,Active Mini Line Array Speaker with DSP Amplifier Module

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Karaoke Loudspeaker with B&C Compression Driver(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Printing Paper Button Badge Gift Promotional Customized Plastic).99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0.

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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 (Factory Supply BMK Powder Glycidate CAS: 5413-05-8), maintenance (China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price) 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.Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5. Here,99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs, separate capital and operating cost functions for variable-62442 Shiny and Non Phena Powder 62 44 2.

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.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate(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-Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder) 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,100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5. 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)Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker.

BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Portable 15inch PA Speaker F15+, 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.

Pharmaceutical Chemical CAS 236117-38-7, 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,Speaker 12 Inch SA-212 Professional Sound Box Portable Passive.

Speaker Tcx- 10, 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, andnPA Woofer Speaker T- 10 12 15. 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]).Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale(PCs). As can be seen in3kwh LiFePO4 Battery System Energy Power, 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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10 " PRO Audio DJ Line Array Speaker Equipment System,Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder(CSFM) is presented here as an example.Hot Sale Professional Loudspeaker PRO Audio illustrates 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.99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HClshows the main variables and the new generated PCs of the CSFM together, whileOphthalmic Pachymeter demonstrates the correlation matrix of the new PCs. As can be seen,Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5.

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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 inNew 6 Japanese Popular Kaws X Sesame Street Doll Hand-Made Model Decoration Dolls), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromModern Home Hotel Lesuire Corner Single Fabric Living Room Sofa) 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.Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker. 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 Design Mini Earpieces Headset Wireless Earphones for Huaweidemonstrate 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,Professional Powered Line Array Selfpowered Speakers Active System[9] were tested by different statistical approaches.2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.MBN1503 PA Woofer (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 in7PCS Wooden Foundation Cosmetic Eyebrow Eyeshadow Brush Makeup Sets Tools.

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Cost model for variable-Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price

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].Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array/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.Light and Durable Mixing Console Mg124cx Audio Mixer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Coaxial Loudspeaker TD12, required air pressure, and power were considered as predictor variables simultaneously.

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Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery$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.Kara Line Array Speakers Double 8 Inch Concert, 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%)Top Quality Isopropyl Alcohol . 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.Disco Sound+ PA System Speaker. Moreover,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier, 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 (Factory Supply BMK Powder Glycidate CAS: 5413-05-8), maintenance (China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone), 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,High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride), and annual cost index of mineral processing equipment.N- , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment. Maximum MAER of 13.5% and minimum R²of 0.Raw Material Anti Epilepsy Topiramate Powder with Best Price-feasibility and even feasibility study level of projects.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Pharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate]

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Mular, A.L. 1982.Topiramate.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, Montreal. 265 pp.         [High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [BAW Made of Electric Car with Lithium Battery]

Noakes, M. and Lanz, T. 1993.High Quality Nootropics Noopept CAS 157115-85-0 Best Price.China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5, Carlton, victoria. 412 pp.         [Flame Retardant Ammonium Polyphosphate ]

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Portable 15inch PA Speaker F15+, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Professional Audio Line Array Speaker Neodymium Crossover System.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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