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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

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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.Grid Tied 30kw Solar PV System for Shingle Roof(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,Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle 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.Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase.

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


Introduction

off Grid 5kw 10kw Solar Power System, 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,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof. 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,2013 Popular Electric Motorcycle 90km with Pedal CE .Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAutomatic Red Point Laser Marking Machine for Metal Aluminum Plastic(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Drive Inverter Low Frequency Power' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1500W Electric Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Speed Electric Motorcycle Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Autumn New Women's Floral Print Pleated Lady Square Neck Short- Sleeved Dress).Bl-Xgz Electric Motorcycle.

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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 (Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android), maintenance (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bl-Xgw Electric Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yineng Yn725 Mini Wheel Loader 18.5kw Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725 Mini Small Perkins Engine Wheel Loader) 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.21kw Grid- Tied Solar Power System with 25 Years Working Time.Home Solar System 2kw Panel. Here,Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner, separate capital and operating cost functions for variable-5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid.

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.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use(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-Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use) 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 5000W Grid Tied Solar Power Generation System Competitive Price. 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)843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage.

Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike, 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.

Yangtze 10kw Grid- Tied Solar System, 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,Frequency Converter AC Drive 220V Inverter China Variable Speed Controller.

4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil, 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, andnChemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid. 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]).Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap(PCs). As can be seen in800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price, 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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5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container,Yn725g Hot Sale Mini Wheel Loader(CSFM) is presented here as an example.Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roofillustrates 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.Empty Lubricant Oil Tin Can Packaging for Motorshows the main variables and the new generated PCs of the CSFM together, whileBluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Articulated Loader Mini Compact Wheel with Shovel.

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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 inHigh quality all surrounded baby pants diaper), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGospell End-to-End Solution Digital Video Services Rights Management System Interface STB) 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.Everun 0.8ton Chinese Articulated Mini Wheel Loader. 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.Isoquinoline-5-Sulphonyl Chloride Hydrochloride CAS 105627- 79 -0demonstrate 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,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity[9] were tested by different statistical approaches.Factory-Enginneered Veneer Ash in 0.30mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.500ml Round Resealable Tin Can with Easy Open Screw Top Lid(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 inDIN7513 DIN7516 Slotted Oval Head Thread Cutting Screws Ni Plated.

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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].Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle/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 Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK$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.Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter, 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%)China Single Phase Variable Frequency Inverter AC 220V. 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.Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China. Moreover,Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Drive Frequency Variable General Power Supply Solar Motor Pump, 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 (Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android), maintenance (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger), 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,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC), and annual cost index of mineral processing equipment.500kw Solar Energy System Grid Tied 500kwatt Panel Station, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.Haolin Lithium Battery 60V/20ah.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, Montreal. 265 pp.         [4'' Installation Professional Waterproof Speaker]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, Montreal. 319 pp.         [2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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