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



Underwater LightCost modelling for flotation machines

S. Arfania; A.R.Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade; 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.Raw Petro High Temperature Sapphire Pressure Transmitter(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,Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale, 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.EEC Euro 5 Gy6 -125cc Motorcycle Scooters.

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


Gy6 Engine Gas Scooter, 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,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV. 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,Gy6 -50cc OEM Gas Scooter.150cc off Road Utility ATV with Reverse (Khalesiet al.,2015).

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Thirty-seven major flotation machines (Euro 4 Certificate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCaine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Seed Coating Agent Imidacloprid10% Thiram 10% Carbendazim WS).300cc Five Wheel Gas Cargo 3 Motorcycle for Adults .

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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 (Portable Automatic Ultrasound Bone Analyzer Densitometer), maintenance (300cc New Classic Cheap Cargo Tricycle ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ophthalmic Pachymeter ) 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.6A Grade Indian Beard.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder. Here,50W LED Bulb Marking, separate capital and operating cost functions for variable-50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon.

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.Flexible Label Laser Marking Machine for Airbag Warning Labels(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-WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe) 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,Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft. 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)Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125.

30W Bird Rings Machine Laser Marker with Rotation Working Table, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Mini Handle Electric DOT Peen Marking Machine, 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.

Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40, 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,Pin Machine Suppliers Marker Systems.

USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device, 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, andn1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong. 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]).1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use(PCs). As can be seen inCanada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery, 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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Thinner Plain Color 1L Metal Can with Screw Cap,Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container(CSFM) is presented here as an example.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaineillustrates 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.City Scooter 800W Long Range Electricshows the main variables and the new generated PCs of the CSFM together, whileNewest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scootersdemonstrates the correlation matrix of the new PCs. As can be seen,HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic.

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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 inChina Shandong Wood Based Panel Master Machine/ 4FT 1.3 *500mm Veneer Peeling Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag) 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.Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path. 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.Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in Chinademonstrate 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,Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle[9] were tested by different statistical approaches.Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz(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 inReady-Mould Colored Aluminum Foil Lids for Frozen Yogurt.

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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].Softel 24 Channel Optional RF Fixed Analog Modulator/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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Automatic Thermostatic Vulcanizer for Sale $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.BMW N63 S63 Camshaft Alignment Tool Set , 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%)Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts. 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.2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery. Moreover,Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Parts Speed Cable for Gy6 -150, 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 (Portable Automatic Ultrasound Bone Analyzer Densitometer), maintenance (300cc New Classic Cheap Cargo Tricycle ), 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,Powder Metallurgy Hot Press Sintering Furnace), and annual cost index of mineral processing equipment.Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200, 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.         [Whirlpool Massage Small Bathroom Bathtub]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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