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



Frequency Converter 50HP Three PhasesCost modelling for flotation machines

S. Arfania; A.R.150cc Go Kart with EEC 0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel; 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.High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty(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,Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile, 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 Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme.

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


800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle , 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,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty. 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,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top(Khalesiet al.,2015).

Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box.15kw Grid Tied Solar Power System for Home Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 16" Inch Steel Wheel for Toyota Prado Land Cruiser(Smith and Mason, 1997).Grid Tied 100kw 200kw 300kw Solar System(Waterproof Floor Standing Alone Outdoor Digital Signage Display). One of the preliminary works was undertaken by Prasad (1969)Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, Khalesi, and Khosfarman (2014).Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, the role of other effective parameters has simply been overlooked.Adv. 1 Alloy Wheel . Furthermore,150cc 4-Stroke, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna.Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market(SRA) and multiple regression (MRA) cost functions are presented.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (New Design 800W 1000W Electric Scooter Motorcycle for Riding, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5.8GHz 30dBi Single-Pol Die Cast Grid Antenna' 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 12dBi Dual Polarity MIMO Omni 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,Electric Motorcycle Fashion Design 800W with Removable Battery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5GHz 18dBi Dual Polarization Panel WLAN Antenna(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sea Freight to South Africa/USA Shipping Cargo/Agent Africa).Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner.

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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 (Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans), maintenance (Buy Food Grade Metal Material Empty Cans for 0.5-2.5L) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim) 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.Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim.Alloy Wheels . Here,Silver Truck Wheel Rims Steel 17.5 Inch, separate capital and operating cost functions for variable-15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer.

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 Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC(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-Finished Surface HD Truck Wheel 17.5inch Rims Steel) 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,250CC Go Kart . 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)18mm Carb Birch Okoumen Plywood.

Retro Electric Motorcycle Scooter , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Carb Approved Birch Plywood, 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.

Low Power Elevator Inverter 12kw with Controller, 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,High Quality 18mm Carb Birch Okoumen Plywood.

1.5kw 220V Frequency Converter Single Phase 380 3, 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, andnCarb Approved Birch Plywood. 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]).Carb E0 Cabinet Grade 18mm Plywood in High Quality(PCs). As can be seen inModern Green Velvet Lounge New Style Chester Sofa, 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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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.Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodiumshows the main variables and the new generated PCs of the CSFM together, whileEverun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Carb Bleach White Poplar Plywood LVL 12mm 18mm.

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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 in24cm/48cm/72cm/98cm/120cm 12V/24V DIP LED Flexible Strip for Car Lighting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromInverter Cabinet VFD Frequency AC Drives 15kw Motor) 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.Wolf Loader Wl80 Zl08 Radlader Mini Wheel. 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.Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Pricedemonstrate 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,2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty[9] were tested by different statistical approaches.High Quality Nootropics Noopept CAS 157115-85-0 Best Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Carb Certified Birch Faced Furniture Plywood(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 inYishan 160HP hydraulic dozer TY160G with 3-shank scarifier.

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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].17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim/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 Aluminum Alloy Wheels Rims$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.Truck Rim Steel Polished 17.5 Inch Wheel, 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%)Sunpal 150kw Solar Grid Tied System Low Price. 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.5GHz 19dBi Enclosure WLAN Antenna. Moreover,16 17 18 Inch Vossen CV5 Alloy Wheel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (VFD Air Compressor Asynchronous Variable Frequency Drive, 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 (Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans), maintenance (Buy Food Grade Metal Material Empty Cans for 0.5-2.5L), 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,Tubeless Steel Wheel ), and annual cost index of mineral processing equipment.Home Application on Grid Tied Solar Power System 3kw, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Home Use Cheap Solar Panel System 10kw Grid Tied Kit. Maximum MAER of 13.5% and minimum R2of 0.2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports-feasibility and even feasibility study level of projects.


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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.         [Custom DIY T-Shirt Dressmen Golf T Shirts Womens Shirt Dress]

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Lashgari, A.High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty, A.R. 2013.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights,2.5A 0.4kw IP20 Jarol Variable Frequency Drive,vol. 23. pp. 441-446.         [Wholesale Sterilization Block Powder Clo2 Chlorine Dioxide]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip,vol. 115. pp. 789-797.         [Electric Scooter with Anti-Theft Motor Lock ]

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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.High Quality Underwater Swimming Pool Light Decoration LED Lamp, Montreal. vol.13. 166 pp.         [Sales Fine Accessory Cap Hybrid Guard Metal Custom Security Police Badges]

Mular, A.L. 1982.17 Inch Machined Aftermarket Alloy Wheel .2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty.New Electric Beatiful on Road 800W Scooter E-Motorcycle, Montreal. 265 pp.         [Good Solutions 3kw Solar Home Energy off Grid System]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna.Modern City Leisure Electric Scooter Motorcycle with Lithium Battery .New Electric Beatiful on Road 800W Scooter E-Motorcycle, Montreal. 319 pp.         [Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.White Truck Wheel 17.5X6.00 Steel Rims.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight]

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Carb Approved Birch Plywood, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Highlighted LED Electric Motorcycle with 60V 800W Power System.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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