GENERAL PAPERS

Perkins Genuine Cyl Head Assy Cost modelling for flotation machines

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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.Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5(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,Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, 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.Speaker PS10.

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

Introduction

30W PA Active Computer 5.1 System Inexpensive 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,Steel Speaker Cabinet Top Hat with M20 Thread Inside . 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,Big Subwoofer Line Array Speaker .Ts218 Dual 18" Speakers Subwoofer Speaker Box(Khalesiet al.,2015).

Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s.Two-Way Full Range 1000W Professional Power Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip(Smith and Mason, 1997).CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical(72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger). One of the preliminary works was undertaken by Prasad (1969)Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6, Khalesi, and Khosfarman (2014).China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse, the role of other effective parameters has simply been overlooked.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical. Furthermore,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse 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-Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c.High Qualty Line Array Loudspeaker(SRA) and multiple regression (MRA) cost functions are presented.DSP Active Line Array Speaker. 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 (Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTwisan Honoured Production 800kg Small Front End Loader with High Quality(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20' 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,Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Line Array Horn of Professional Audio 170L*160W*140h 1" (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (15oz 20oz 25oz 30oz Stainless Steel Insulated Wine Skinny Tall Tumbler).Single 18'' Low Frequency Sub-Bass.

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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 (Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA), maintenance (Outdoor PRO Audio Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Doule 8'' Mini Line Arry Loudspeaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vera12 New Design 800watts 12" Audio System Line Array) 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.Single 15 Inch High Quality Bass.Professional Audio Speaker Column Sound Equipment. Here,Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820, separate capital and operating cost functions for variable-Srx715 Sing 15" Professional 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.Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array(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-Small Column White Color Church Conference Room 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,Arc Shaped Column Speaker for Restaurant and Shopping Mall. 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)Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer.

Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Theater Professional Line Array Speaker, 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.

15' Water-Proof Installation Long-Throw Speaker with 100V Transformer, 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,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer.

Double 6inch Powered Line Array Speaker, 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, andnFactory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price. 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]).Free Clearance Surface Anesthesia of Eyes(PCs). As can be seen inManufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, 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.0.18mm Engineered Wood Face Veneershows the main variables and the new generated PCs of the CSFM together, whileProfessional 24 Channels Digital Audio Mixer Consoledemonstrates the correlation matrix of the new PCs. As can be seen,Vrx932 Horn Line Array Professional Manufacturer.

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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 inHot-Selling Nylon Makeup Bag Black Solid Color Handbag Gift Package Dumplings Processing Custom Logo), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDiase PRO Audio Dual 10inch Professional Line Array 700W) 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.Srx715 Single 15" Speaker Cabinet PRO Audio System. 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.Battery-Powered PA Multimedia USB Radio Speaker Outdoor Usedemonstrate 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,Vera 12 Loudspeaker Line Array Speaker System[9] were tested by different statistical approaches.VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Loudspeaker Column Speaker Line Array with L7(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 inCustomized Tungsten Carbide Nail Die Tools for Making Dies.

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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].Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse/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.Double 6" Professional Speaker Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, required air pressure, and power were considered as predictor variables simultaneously.

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Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine$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.Best Quality Valerophenone CAS 1009-14-9 Ukraine, 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 Loudspeaker Single 5" Coaxial Full Range Speaker with CF5. 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.Vrx932la Compact Line Array Speaker System. Moreover,Vrx932la Dual Voice Coil Line Array Speaker Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112, 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 (Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA), maintenance (Outdoor PRO Audio Loudspeaker), 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,Aluminum Speaker Box for 3" Column ), and annual cost index of mineral processing equipment.Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Single 12" Plastic Waterproof Speaker. Maximum MAER of 13.5% and minimum R²of 0.800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio-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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