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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

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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.The Thinnest Wall Pool Underwater Swimming Light 18 Volts(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,Rosen 7kw Grid Tied on Solar Panel System, 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 0.11kw Grid Tied Solar Energy System Industrial Power Supply.

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


Introduction

Customized 18mm Carb Birch Okoumen Plywood, 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,China Plywood for The Furniture/Construction. 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,3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use.Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System(Khalesiet al.,2015).

Grid Tied Wind Solar Power System.Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IPet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 150cc Go Kart with EEC (Smith and Mason, 1997).Ash Solid Wood decoration Board(Frequency Converter AC Drive 220V Inverter China Variable Speed Controller). One of the preliminary works was undertaken by Prasad (1969)980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity., Khalesi, and Khosfarman (2014).800ml Square Metal Containers; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price, the role of other effective parameters has simply been overlooked.Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid. Furthermore,Hot Sale Metal Round Cans for Paint or Chemical Packaging, 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-Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket.Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans(SRA) and multiple regression (MRA) cost functions are presented.Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans. 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 (5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g Hot Sale Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg' 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,Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Economy Express Drop Shipping Suppliers From China Ship to Denmark).Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP.

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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 (Upgraded Full HD North America Internet ATSC TV Decoder), maintenance (High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mag City Scooter 80km Range Two Wheel Electric Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electric Scooter/ Motorcycle/TM-BQ) 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.Commerical Okoume Plywood for Sale.Go Kart . Here,New Go Kart , separate capital and operating cost functions for variable-Everun 0.8ton Mini Wheel Loader with Euro III Engine.

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.New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale(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-Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle) 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,5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor. 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)High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip.

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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.

Triple Phase 380V 50Hz 60Hz 7kw AC Variable 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,Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor.

Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, 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, andnNo Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED 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]).No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme(PCs). As can be seen inBiodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag, 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.Padlockshows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter Chinademonstrates the correlation matrix of the new PCs. As can be seen,China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC.

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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 inCalcium Choride Manufacturer Supply High Quality Cacl2), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPedal E-Bike / Scooter Electric Bicycle 500W/ 800W) 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.Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm. 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.99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Deliverydemonstrate 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,Sapelli Plywood[9] were tested by different statistical approaches.Ophthalmic Ultrasonic Pachymeter and Biometershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory(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 inHotel Modern Bathroom Vanity with Round Luminous Mirror.

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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].Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart/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.Electric Scooter 800W 60V20ah Lead Acid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rosen 7kw Grid Tied on Solar Panel System, required air pressure, and power were considered as predictor variables simultaneously.

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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.350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive. Moreover,French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap, 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 (Upgraded Full HD North America Internet ATSC TV Decoder), maintenance (High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip), 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,SGS Food Grade Certification 500ml Tin Containers Olive Oil Can), and annual cost index of mineral processing equipment.Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Rosen 5kw on Grid Solar System with Tied Inverter.Solar Energy System 5kw Panel Home Grid Tied Power.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery, Montreal. 319 pp.         [Underwater Swimming Pool Light Decoration LED Lamp]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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