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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.Fast Delivery 1(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,Professional Speaker Box F12+, 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.Df B&C Trees Speaker Subwoofer Audio Professional.

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

Introduction

15'' Coaxial Speaker , 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,Customs Guaranteed 1. 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,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker(Khalesiet al.,2015).

Manufacturer Supply Bdo Novel Intermediate 1.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiroet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line(Smith and Mason, 1997).99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6(PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic). One of the preliminary works was undertaken by Prasad (1969)China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole, Khalesi, and Khosfarman (2014).400 Watt Portable Music Player Speaker Professional Audio; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers, the role of other effective parameters has simply been overlooked.Dm 15 Inch PA Full Sound Systems Professional PRO Speaker. Furthermore,12inch KTV Bar PA Full Sound Speaker System Audio, 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-Dare Dual 8" Neodymium Active Line Array Set PA System.12" Die Cast Aluminum PA Speaker Frame(SRA) and multiple regression (MRA) cost functions are presented.PA Speaker Dual 18" Subwoofer System. 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 (PA Speaker with Line Array Tweeter Horn , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Active Mini Line Array Speaker with DSP Amplifier Module' 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,China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone

►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 Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale White Sublimation Blanks Product Ceramic Cup Coffee Mug Supplier 11oz).High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price.

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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 Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5), maintenance (99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (62442 Shiny and Non Phena Powder 62 44 2) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate) 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.Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5. Here,Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker, separate capital and operating cost functions for variable-BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.

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.Portable 15inch PA Speaker F15+(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-Pharmaceutical Chemical CAS 236117-38-7) 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,Speaker 12 Inch SA-212 Professional Sound Box Portable Passive. 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)Speaker Tcx- 10.

PA Woofer Speaker T- 10 12 15, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale, 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.

Dual 10inch Professional PRO Audio Speaker System, 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,10 " PRO Audio DJ Line Array Speaker Equipment System.

Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate 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, andnBuy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5. 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]).10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System(PCs). As can be seen inFull HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install, 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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Professional Powered Line Array Selfpowered Speakers Active System,MBN1503 PA Woofer (CSFM) is presented here as an example.1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furnitureillustrates 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.Waterproof Floor Standing Alone Outdoor Digital Signageshows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio Speaker Column Sound Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price.

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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 inFashion Sports School Outdoor Travel Bag College RPET Kids Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module ) 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.Light and Durable Mixing Console Mg124cx Audio Mixer. 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.Food Grade Metal Tin Can with Printing Logo for Cooking Oildemonstrate 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,Chassis/Dolphin/Powerful Speaker for Stadium[9] were tested by different statistical approaches.Silo Top Pulse Jet Dust Collectors Collector Hopper for Cementshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Line Array with Accessories for PRO Audio(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 inCustom Design Airport Travel Trolleys Bags Children Foldable Kids Suitcase Luggage.

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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].Kara Line Array Speakers Double 8 Inch Concert/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.Top Quality Isopropyl Alcohol ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker Box F12+, 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.Kara Double 8 Inch Liner Speaker System Professional Audio Equipment. Moreover,Raw Material Anti Epilepsy Topiramate Powder with Best Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 12 Inch Powered Line Array Active Sound System W-210bp, 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 Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5), maintenance (99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5), 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 CAS 16595-80-5 Levamisole Hydrochloride/ HCl), and annual cost index of mineral processing equipment.Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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