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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

CPP High Temperature Vacuum Retort PouchCost 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.Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine(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,China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes, 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 0.6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System.

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


Introduction

Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer , 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,5GHz 10dBi Wideband Omni WLAN Antenna. 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,Jy125t-36c 125cc Scooter with Cdi and Efi.5GHz 18dBi Dual Polarized Panel Antenna (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in100% Copper Wire St-5kw Single Phase Brush Generator(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Automatic High Effective Ultrasound Bone Densitometer Made in China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diesel Central Drive Three Wheel Dumper for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Garden Villa Intelligent Constant Temperature Heating Acrylic Bathtub Large).Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner.

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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 (Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital), maintenance (Apr125 White Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Apr125 Red Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Apr125-2 White Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Underwater Swimming Pool Light Decoration LED Lamp) 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.IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner.Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake. Here,350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , separate capital and operating cost functions for variable-Popular Medical Device Automatic Bone Densitometer.

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.Diesel Cargo Three Wheel Tricycle for Sale From China(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-Diesel Dump Central Steering Drive Three Wheeler From China for Sale) 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,Chinese Diesel Three Wheel Tricycle with Sunshade. 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)One and Half Rows Three Wheeler for Sale.

Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Adult 800W Power Electric Scooter Suit for Woman, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle.

dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for, 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, andn350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model. 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]).800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle(PCs). As can be seen inCosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints, 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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5GHz 30dBi Grid Parabolic Antenna ,5GHz Dish Parabolic Antenna 29dBi(CSFM) is presented here as an example.AC Frequency Converter2HP 1phaseillustrates 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.Trimethyl Cisshows the main variables and the new generated PCs of the CSFM together, whileNitrogen Chemical Fertilizer Ammonium Sulfate 21%Mindemonstrates the correlation matrix of the new PCs. As can be seen,2.4/ 5GHz Dual Band H-Pol Sector Antenna.

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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 inOutdoor IR High Speed Dome Waterproof PTZ IP Camera), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGas Ski Adult PRO Electric Start Snow Scooter) 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 0.5GHz 20dBi Enclosure WLAN Antenna. 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.Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Containerdemonstrate 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,5GHz 45deg Dual Pol Sector Antenna[9] were tested by different statistical approaches.3HP Frequency Converter Vector Three Phaseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 23dBi Enclosure WiFi Antenna(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 inFashion Geometrical Triangular Laser Lady Elegant Zipper Cosmetic Bag.

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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].5GHz 34dBi Dish WLAN Antenna/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.5GHz 18dBi Dual Polarization Sector WiFi Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes, required air pressure, and power were considered as predictor variables simultaneously.

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18W 12V IP68 Waterproof LED Swimming Pool Lamps$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.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System, 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%)E1 Glue Malamine Mositure-Proof MDF with Carb Certification. 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 Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports. Moreover,Quality 18mm Carb Birch Okoumen Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, 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 (Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital), maintenance (Apr125 White Motorcycle), 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,30kw Grid Tied Solar Power System Home Popular in Philippines), and annual cost index of mineral processing equipment.New Condition Large Capacity Mini Truck Dumper, and over- extrapolation could result in misguiding estimates.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [2004-10 for Volkswagen]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

3HP 1 Phase Frequency ConverterElectric Portable DOT Peen Vin Number Marking Machine for Flange NumberingCorresponding author

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