GENERAL PAPERS

Manufacturers Supply 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.Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price(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,Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery, 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.Hot Sale Professional Loudspeaker PRO Audio .

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

Introduction

Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8, 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,High Quality with Good Price Oxytetracycline HCl Powder. 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,Chinese Factory for Vitamin a Palmitate 0.25miu Powder.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8(Khalesiet al.,2015).

Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2.High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Textile Crane Centrifugal 380V Variable Frequency Drive VFD(Smith and Mason, 1997).Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker(Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer). One of the preliminary works was undertaken by Prasad (1969)Q1+Q Sub Sound & Light Installation High Performance in Concert Event, Khalesi, and Khosfarman (2014).Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, the role of other effective parameters has simply been overlooked.Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array. Furthermore,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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-Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box(SRA) and multiple regression (MRA) cost functions are presented.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event. 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 (High Power Two-Way Full Range PRO Audio Speaker Box System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 " Woofer with 3" Voice Coil(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer' 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,Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Customized Drilled ND and PCD Die /Polycrystalline Supported Wire Drawing /Supported Diamond).Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample.

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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 (Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK), maintenance (99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Rimonabant Powder Weight Loss Factory Direct Supply) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder) 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.High Quality Procainamide Hydrochloride 614-39-1.Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3. Here,PA Horn Loaded Speaker Professional Loudspeaker, separate capital and operating cost functions for variable-Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club.

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.Professional Audio Powerful High Compact Line Array Speaker Best Lq10(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-GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping) 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,Top Quality Benzocaine / HCl CAS 23239-88-5. 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)Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6.

Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker., 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.

Mixer Power Amplifier with USB, 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,Powered Line Array Active Stage Speaker.

PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array, 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, andnPRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor 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]).PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood(PCs). As can be seen in300cc New Classic Cheap Cargo Tricycle , 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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Coaxial Speaker TD10,Professional Sound System Effects for Equipment Hire (CSFM) is presented here as an example.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker Systemillustrates 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.Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furnitureshows the main variables and the new generated PCs of the CSFM together, whileNo Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use.

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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 in1027mm LED Backlight Lamp Strip 9 LEDs for LG Innotek Drt 3.0 50_Ab Type Rev01 Rev02 140218 140107 50 Inch LCD Monitor), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWeather Resistance Nylon Polyamide Resin) 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.Karaoke Microphone Bluetooth Sound Mixer Video Conference. 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.Water Cooled Diesel Engine Used for Electric Power Generator Setdemonstrate 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,Outdoor Speaker Professional Audio Factory[9] were tested by different statistical approaches.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scannershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p(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 in20oz&30oz 18oz Black Stainless Steel Double Wall Sublimation Tumbler with Straw&Leak Proof Cover.

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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].1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free/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.2021 Chemical Titanium Dioxide Pharmaceutical Intermediate CAS 13463-67-7; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery, required air pressure, and power were considered as predictor variables simultaneously.

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PRO Audio PA Speaker $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.Top Quality Tretinoin Powder  Retinoic Acid for Skin Care, 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%)TCP/IP Network Poe 15W Active Wall Mount Speaker Waterproof. 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.High Quality Skin Care Tretinoin Powder with Best Price. Moreover,Professional Speker System 12 Inch PA Line Array Audio S1210, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36, 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 (Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK), maintenance (99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock), 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,Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch), and annual cost index of mineral processing equipment.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker. Maximum MAER of 13.5% and minimum R²of 0.Passive Single 12'' Line Array Loudspeaker Sound System-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

62442 Shiny and Non Phena Powder 62 44 2Kas 12 Inch Line Array Audio Professional DJ Speakers 18 SubwooferCorresponding author