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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

Medical Equipment Ho-200 Ophthalmic a/B Ultrasound ScannerCost 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.China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai(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,Everun Er08 CE Wheel Loader with Standard Bucket 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.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale.

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


Introduction

Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V, 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,Loader. 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,18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light.Samll EPA 0.8ton Tractor Loader(Khalesiet al.,2015).

Closed Motorized China Cargo Tricycle with Box .Covered Tricycle Carriage Closed Cargo Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle(Smith and Mason, 1997).Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty(Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window). One of the preliminary works was undertaken by Prasad (1969)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, Khalesi, and Khosfarman (2014).Metal Packing Chemical Round Tin Can; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1 Liter Cans for Curing Agent, the role of other effective parameters has simply been overlooked.Cone Top 1 Liter Glue Usage Tin Can. Furthermore,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, 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-Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light.PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty(SRA) and multiple regression (MRA) cost functions are presented.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood Quality Pine Wood Core Block Board with Okume Film(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tricycle with Wagon 3 Wheel Motorcycle Box' 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,20watt Mopa Laser Marking Machine for Anodized Aluminum Black

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Waterproof Nylon Lightweight Outdoors Travel Waist Sling Bag for Women&Men).2021 New E Bike Best Mini Electric 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 (Power Saver Device ), maintenance (1liter Empty Paint Tin Can with Lids Factory) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (60V800W Electric Scooter with Highlight Rear Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Empty Canister White Metal Round Packaging Cans Box Tea Tins) 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.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip. Here,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet, separate capital and operating cost functions for variable-Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.

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.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(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-20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery) 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,Electricity Power Saver for Industry . 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)Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike.

Malaysia Laser Marking Machines for Jewellery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Enclosed Covered Tricycle with Wagon, 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.

Color Marking 20W Fiber Laser Machine Price for Metal, 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,Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle.

Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, 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, andnHigh Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle . 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]).Mountain Using Motorcycle with Strong Steel Tube Frame(PCs). As can be seen inDiesel Cargo Three Wheel Tricycle for Sale From China, 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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CATV 860MHz One Way Amplifier,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz(CSFM) is presented here as an example.O-Phthalaldehyde CAS 643- 79 -8illustrates 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.Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weedshows the main variables and the new generated PCs of the CSFM together, whileBuy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8demonstrates the correlation matrix of the new PCs. As can be seen,CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties.

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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 in2014 Brand New a-Line White Lace High Neck Organza Wedding Dresses Bridal Gowns), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180) 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 0.2021 New Machine Grade CO2 Laser Marking with a Discount. 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.1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrabilitydemonstrate 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,20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel[9] were tested by different statistical approaches.Intelligent Power Saver for Industry Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mopa Fiber Laser Marking Machine for Black Printing(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 inPlant Therapy Perfume Lavender Hotel Defuser Private Labeling Pepermint Aromatherapy Organic Tea Tree Young Living Eucalyptus Grapefruit Essential Oil Gift Set.

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Cost model for variable-20W Table Fiber Laser Marking Machine for Metal Stainless Steel

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].Portable Handheld Metal Plastic DOT Peen Marking Machine/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.5150-5850MHz Sector Panel Antenna with Gain 13dBi; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Everun Er08 CE Wheel Loader with Standard Bucket for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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3 Phase 50 - 60Hz Intelligent Power Saver$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.High Efficient Industrial Electric Motor Power Saver, 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%)EEC 125/300cc Euro 5V Max Scooter-Alex One. 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.Electricity Power Reducer . Moreover,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electrical Saver Box , 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 (Power Saver Device ), maintenance (1liter Empty Paint Tin Can with Lids Factory), 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,Sector Panel Antenna ), and annual cost index of mineral processing equipment.15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire, and over- extrapolation could result in misguiding estimates.

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Enclosed Covered Tricycle with Wagon, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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