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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0Cost modelling for flotation machines

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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.Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies(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,Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag, 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 Barrier Vacuum Bag& Packaging Films for Food Pakcing.

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


Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags, 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,Oxygen Barrier Transparent Vacuum Plastic Bag. 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,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker.DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755(Khalesiet al.,2015).

Fruit and Vegetables Packaging Materials Vacuum Nylon Bag.7 Layers or 9 11 Co-Extruded Freezer Food Storage Baget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz 19dBi Enclosure WLAN Antenna(Smith and Mason, 1997).Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker (Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer). One of the preliminary works was undertaken by Prasad (1969)Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker, Khalesi, and Khosfarman (2014).10 Inch High Quality PA Speaker 10tbx100; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA Audio System 5" 10 -35W Ceiling Speaker, the role of other effective parameters has simply been overlooked.Ultra Low Nosie 10 Channles Mixer Mixing Console . Furthermore,10''stage professional Audio Speaker H- 10 for Stage, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk.55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer(SRA) and multiple regression (MRA) cost functions are presented.Horn Speaker M-776. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1L Plastic Trigger Sprayer Bottle with Spray(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk' 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,Medrogestone Top Quality Low Price 977- 79 -7

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply High Quality Ademetionine 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Supplier 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Automatic aging test system for AC charging battery).Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder.

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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 (CAS: 79 -44-7 Dimethylcarbamoyl Chloride ), maintenance (Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Quality CAS: 97240- 79 -4 Topiramate Powder Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Purity 99% Intermediate 1) 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.Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder.High Quality Tretinoin with Good Price . Here,Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin, separate capital and operating cost functions for variable-Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755.

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.High Purity Organic Intermediate  1(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-Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine) 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,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control. 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)Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V.

Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator, 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.

Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753, 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,Engine Controller Model Eim Basic 258 -9756.

Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755, 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, andnGenerator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754. 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]).100% Copper Wire St Series Single Phase Generator / Alternator (PCs). As can be seen inMotorbicycle with Efi Fuel Supply and Steel Tube Frame, 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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100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator ,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator(CSFM) is presented here as an example.Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtubillustrates 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.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Suppliershows the main variables and the new generated PCs of the CSFM together, whileTop Selling Polyurethane Adhesive Resindemonstrates the correlation matrix of the new PCs. As can be seen,24kVA St Series Single Phase Generator .

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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 inFactory Price P10 for Outdoor Big Screen), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Factory Supply Ethylmagnesium Bromide CAS 925-90-6) 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 0.20kVA St Series Single Phase Generator . 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.Llantas High Quality L5 OTR Tyre 26.5-25demonstrate 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,PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.[9] were tested by different statistical approaches.Multi Birch Veneer Plywood Manufacturershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.7.5kVA St Series Single Phase Generator (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 inHigh Quality 3-Ply Hospital Mask Disposable Doctor Facemask Surgical Face Earloop.

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Cost model for variable-Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio

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].2 Way Passive 10 " Professional PRO Audio PA 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.


Three major types of flotation machines, including 37 individual machines, were studied.Stc Series Three Phase Dynamo Generator ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag, required air pressure, and power were considered as predictor variables simultaneously.

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CAS: 74- 79 -3 Amino Acid L-Arginine$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.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic, 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%)St-10kw/kVA Single Phase Brush Type Electric Generator. 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.Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator. Moreover,Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (100% Copper Wire St-7.5kw Single Phase Alternator Factory Price, 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 (CAS: 79 -44-7 Dimethylcarbamoyl Chloride ), maintenance (Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed), 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,100% Copper Wire St-5kw Single Phase Brush Generator), and annual cost index of mineral processing equipment.Home Theater Speaker, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,High Temperature Vacuum Retort Pouch for Food Packaging, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Stc-12kw/15kVA Three Phase AC Electric Generator on Sale.Minerals Engineering,vol. 81. pp. 103-108.         [HDPE PE PPR Pipe Making Machine]

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Mular, A.L. 1982.New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set.LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards.43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System, Montreal. 265 pp.         [2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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