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


DSP Active Line Array SpeakerCost modelling for flotation machines

S. Arfania; A.R.IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machineCovered Tricycle Carriage Closed Cargo Box; 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.Automatic High Effective Ultrasound Bone Densitometer Made in China(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,Diesel Central Drive Three Wheel Dumper 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.Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner.

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


Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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,Apr125 White Motorcycle. 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,Apr125 Red Motorcycle.Apr125-2 White Motorcycle(Khalesiet al.,2015).

Underwater Swimming Pool Light Decoration LED Lamp.IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanneret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Elasticity Competitve Nitrile X Ring(Smith and Mason, 1997).Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake(Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2). One of the preliminary works was undertaken by Prasad (1969)350cc Motorcycle with Double-Cylinder & Water-Cooled Engine , Khalesi, and Khosfarman (2014).Popular Medical Device Automatic Bone Densitometer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Cargo Three Wheel Tricycle for Sale From China, the role of other effective parameters has simply been overlooked.Diesel Dump Central Steering Drive Three Wheeler From China for Sale. Furthermore,Chinese Diesel Three Wheel Tricycle with Sunshade, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-One and Half Rows Three Wheeler for Sale.Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc(SRA) and multiple regression (MRA) cost functions are presented.Adult 800W Power Electric Scooter Suit for Woman. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (800W Electric Motorbike with Front Disc Brake, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle' 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,5GHz 30dBi Grid Parabolic Antenna

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5GHz Dish Parabolic Antenna 29dBi, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2.4/ 5GHz Dual Band H-Pol Sector Antenna(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Smart Solar LED Lamp for Garden Wall House Portable Light).Electric Dirt Bike Zm-Es18 with 500W- 800W Motor.

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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 (5GHz 20dBi Enclosure WLAN Antenna), maintenance (5GHz 45deg Dual Pol Sector Antenna) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz 23dBi Enclosure WiFi Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz Dual Pol Sector Antenna with Enclosure ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz 34dBi Dish WLAN Antenna) 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.5GHz 18dBi Dual Polarization Sector WiFi Antenna.18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. Here,Poplar Film Faced Plywood Board with Carb Certificate, separate capital and operating cost functions for variable-18W 12V IP68 Waterproof LED Swimming Pool Lamps.

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.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System(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-E1 Glue Malamine Mositure-Proof MDF with Carb Certification) 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,High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports. 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)Quality 18mm Carb Birch Okoumen Plywood.

Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (30kw Grid Tied Solar Power System Home Popular in Philippines, 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.

New Condition Large Capacity Mini Truck Dumper, 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,IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty.

50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter, 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, andn2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip. 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]).150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry(PCs). As can be seen inHot Sale Vacuum Bag Nylon Material for Agricultural Products, 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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Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories,300cc Cargo Tricycle of Asia Market(CSFM) is presented here as an example.Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxerillustrates 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.Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machineshows the main variables and the new generated PCs of the CSFM together, whileUSP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6demonstrates the correlation matrix of the new PCs. As can be seen,Building Material Commercial Plywood with Carb to Europe.

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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 inSolid White Glass Lotion Bottle 40ml 100ml 120ml Jar 30g 50g 100g), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHome or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service) 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.China Jiaxing Jarol Frequency Inverter 0.75kw/220V New. 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.150cc Cheap Open Gas Reverse Trike demonstrate 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,Portable Laptop Digital Automatic Ultrasound Bone Densitometer[9] were tested by different statistical approaches.10HP Three Phase Frequency Convertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Haiqin Brand 0.8ton Mini Loader (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 inModern Design Crystal Office Decoration with Globe.

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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].Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification/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.Textile Crane Centrifugal 380V Variable Frequency Drive VFD; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diesel Central Drive Three Wheel Dumper for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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Inverter Cabinet VFD Frequency AC Drives 15kw Motor$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 0.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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%)12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty. 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.loader with excavator grapple wheel mini for sale good quality. Moreover,24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2ND Generation Ultrasound Bone Densitometer, 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 (5GHz 20dBi Enclosure WLAN Antenna), maintenance (5GHz 45deg Dual Pol Sector Antenna), 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,Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series), and annual cost index of mineral processing equipment.Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 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.         [Natural Diamond Tungsten Cable Metal Wire Cutting Round Carbide Drawing Die]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [10'x6' Rotary Cut Okoume Veneer for Plywood]

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Khalesi, M. R., Zarei, M. J.,IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV.Minerals Engineering,vol. 81. pp. 103-108.         [3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail]

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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.         [Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, Montreal. vol.13. 166 pp.         [New Type Stone Breaking Machine Quarry Jaw Crusher]

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Prasad, L. 1969.Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion.5GHz 18dBi Sector WiFi Antenna, Metallurgy and Petroleum, Montreal. pp. 3-15.         [2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043EEC EPA Extreme Adult RC SnowmobileCorresponding author

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