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



5 Litre Extra Olive Oil Tin Can Cost modelling for flotation machines

S. Arfania; A.R.Rosen 1kw Grid Tied on Solar System to Global Market3kwh Solar Energy Storage System; 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.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use(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,959 33kw on Grid Solar Home System with Power Inverter, 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 0.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.

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


Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery, 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,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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,0.18mm Zebra Wooden Veneer.Europe Popular 5kw Grid Tied Home Solar Energy System with Ce(Khalesiet al.,2015).

High Grade Block Board for Furniture Produce.954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(Smith and Mason, 1997).952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply). One of the preliminary works was undertaken by Prasad (1969)32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush, Khalesi, and Khosfarman (2014).High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, the role of other effective parameters has simply been overlooked.China Factory Pricing Empty Round Food Grade Nut Tin Cans. Furthermore,High Performance 6kw Grid Tied Home Solar Energy System, 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-Oil Treatment Packaging Tin Container Can.Rosen 8kw Grid Tied on Solar System to Global Market(SRA) and multiple regression (MRA) cost functions are presented.Factory-Slicer Natural American Red Oak Veneer in 0.50mm. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Argipressine CAS 113- 79 -1 with Best Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Custom Waterproof and Oil Sealing Round Metal Tin Can' 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,3 Liter Tin Packing Chemical Can with Spout

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Food Grade Round Tin Can for Welded Milk Powder Packaging, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1gallon Round Metallic Tin Can with Metal Handle for Paint(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Brooch).Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W.

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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 (Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use), maintenance (350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fluid Storage Containers Lubricants for Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (0.8t 800kg Small Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Direct High Quality Glue Round Tin Cans with Brush) 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.350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric.Cute Street Electric Scooter with LED Light 60V800W20ah. Here,Lady's Smart Electric Scooter Motorcycle 60V800W20ah, separate capital and operating cost functions for variable-Reconstituted Composite Woven Veneer Braided.

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.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult(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-Roof Mounting 20kw Grid Tied Solar Power System Home) 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,Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin. 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)Wolf 0.8t Mini Loader with Grass Fork.

Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08f Wheel Loader with Rops Cab, 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.

2HP 1 Phase Frequency Converter, 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,7.5HP Three Phase Frequency Converter.

3HP 1 Phase Frequency Converter, 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, andn3HP 1 Phase Frequency Converter. 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]).10HP Three Phase Frequency Converter(PCs). As can be seen in1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, 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.

3HP Frequency Converter Vector Three Phase

15HP Three Phase Frequency Converter,Power Smart Electric Scooter with LED Light 60V800W20ah(CSFM) is presented here as an example.3 Phase AC Drive for Water Pump and Fanillustrates 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.20MHz RF Wrinkle Removalshows the main variables and the new generated PCs of the CSFM together, whileTycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Homedemonstrates the correlation matrix of the new PCs. As can be seen,3HP Three Phase Frequency Converter.

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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 inWhite Chiffon Sweep Train Bridal Wedding Gowns off Shoulder Dress), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAuto Feeding Inner Mounted Pipe Tube Beveling Engine) 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

1HP Frequency Converter Vector Three Phase

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 0.15HP Frequency Converter Vector Three Phase. 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.Electric Motorcycle 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,2HP Frequency Converter Vector Single Phase[9] were tested by different statistical approaches.High Quality Underwater Swimming Pool Light Decoration LED Lampshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(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 inCustom Colorful PP Webbing /Belt Wholesale From Manufacturer.

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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].Hot Sale 10kw 10000W off Grid Solar Power System Home Use/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.4kw 3phase Frequency Converter 50Hz to 60Hz; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,959 33kw on Grid Solar Home System with Power Inverter, required air pressure, and power were considered as predictor variables simultaneously.

1.5kw 3phase Frequency Converter 50Hz to 60Hz. Moreover, the operating cost was detailed in different cost items.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels, indicated inDiesel Engine Parts Fuel Injection Nozzle 160sn827, and major extrapolation should be avoided.

Round Tin Can for Food Packaging Empty Tinplate$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 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal, 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%)Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs. 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.Technical Wood Veneer MDF Boards for Cupboard. Moreover,High Quality Small Metal Tin Can with Open Top Lid for Lubricant, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Long Using Life Shuttering Plywood with Logo for Construction, 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 (Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use), maintenance (350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale), 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,Huihuang Bamboo Fence Timbers), and annual cost index of mineral processing equipment.Solar Power System Home 5kw off Grid Tied Solution, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Rosen 1kw Grid Tied on Solar System to Global Market, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof.Minerals Engineering,vol. 81. pp. 103-108.         [High Power Speaker Dual 10 " PRO/Professional Audio Line Array ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [High Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machine]

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Mular, A.L. 1982.Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap.500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, Montreal. 265 pp.         [Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Customized B/C/D/E Grade Wood/Natural Birch Veneer.3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale, Montreal. 319 pp.         [Chinese Factory for Vitamin a Palmitate 0.25miu Powder]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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