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Vrx932 Horn Line Array Professional ManufacturerCost modelling for flotation machines

S. Arfania; A.R.Top Quality Isopropyl Alcohol Wireless Headphone Tws Bluetooth Earphone for Phone; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Disco Sound+ PA System Speaker(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,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast 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.High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier.

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


High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride, 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,N- . 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,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment.Raw Material Anti Epilepsy Topiramate Powder with Best Price(Khalesiet al.,2015).

Dual 12 Inch Powered Line Array Active Sound System W-210bp.High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HClet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme(Smith and Mason, 1997).Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5(18W 12V IP68 Waterproof LED Swimming Pool Lamps). One of the preliminary works was undertaken by Prasad (1969)Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, Khalesi, and Khosfarman (2014).Kas DJ Speaker Dual Line Array 18 Inch Subwoofer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mini Speaker Line Array Wedding Decoraions DJ Mixer, the role of other effective parameters has simply been overlooked.8 Ohm PRO Audio DJ Mixer Live Sound System. Furthermore,Professional Stage Line Array System Dual 15'' Self-Powered Speaker, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9.Topiramate(SRA) and multiple regression (MRA) cost functions are presented.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5' 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,2021 Hot-Sale Lt12 Dual 12" Concert Line Array System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Line Array of Parts for PRO Audio Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Seller Stainless Steel Travel Tumbler 10oz Coffee Mug Wine).High Reliability DSP Active Professional Line Array Speaker .

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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 (Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker), maintenance (Professional Audio Line Array Speaker Neodymium Crossover System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Line Array System with Parts for PRO Audio Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Power Amplifier Module Board + Made in China 400 Watt AMP) 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.Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816.Tp01 Piezo Electric Dome Tweeter. Here,Line Array of Parts for PRO Audio Speaker , separate capital and operating cost functions for variable-Line Array with Accessories for PRO Audio .

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.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker(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-Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2) 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,Tg01 1 Inch Silk Dome Tweeter. 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)Professional Speaker Compective PRO Audio .

Double 12inch Active Coaxial 29kg Line Array Speaker System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5.

Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, 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).

whereCeis the estimated cost,Cathe actual cost, andnHigh Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9. 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]).2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5(PCs). As can be seen inProfessional Audio Kara Line Array, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Live Music Sound Line Array System for Acoustic and Electronic Performance,PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use(CSFM) is presented here as an example.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90illustrates 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.BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5shows the main variables and the new generated PCs of the CSFM together, whileKomatsu Bucket Cyl Ket for PC300-5demonstrates the correlation matrix of the new PCs. As can be seen,900watt Amplifier Moudel Borad Chinese Class -D.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inQt10-15 Cheap Concrete Cement Paving Block Making Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCommander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids) 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 0.100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release. 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.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Boxdemonstrate 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,Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3[9] were tested by different statistical approaches.Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder(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 inKOCEL AJS 2500A Full Assembled High Accuracy 3D Large Build Printer for Rapid Casting.

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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].Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price/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.


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High Quality with Good Price Oxytetracycline HCl Powder$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.Chinese Factory for Vitamin a Palmitate 0.25miu Powder, 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%)Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8. In the MRA cases, this property is owed to the SFM (3.05%).


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.Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2. Moreover,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 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 (Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, 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 (Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker), maintenance (Professional Audio Line Array Speaker Neodymium Crossover System), 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,Q1+Q Sub Sound & Light Installation High Performance in Concert Event), and annual cost index of mineral processing equipment.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker, and over- extrapolation could result in misguiding estimates.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Shipping From China to Brazil Leite Lopes Airport Airfreight Forwarder Cargo Airlines]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [High Quality Tretinoin 302- 79 -4 with Good Price]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer,vol. 115. pp. 789-797.         [2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [1L Beer Can]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, Montreal. vol.13. 166 pp.         [Character -Togepi]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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