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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

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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.Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial(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,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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.Mountain Using Motorcycle with Strong Steel Tube Frame.

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


Introduction

10W 20W 30W portable Fiber Laser Marking Machine, 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,CATV 860MHz One Way Amplifier. 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,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (EEC 125/300cc Euro 5V Max Scooter-Alex One, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electricity Power Reducer ' 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,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Mixing Barrel Stamping Mold).Three Wheel Motor Tricycle Rickshaw Rear Axle.

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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 (Gas Powered Adult Tricycle Motor Farm), maintenance (Motorcar for Both Civilc and Police Using with 320cc Displacement) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Police Using of Motorcycle for Cruiser with Displacement 320cc.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home) 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.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain.45cm Offset Satellite TV Antenna with 200 Hour UV Test. Here,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, separate capital and operating cost functions for variable-45cm Offset Satellite Dish TV Antennas.

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.150ah Lithium Iron Phosphate (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-2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things) 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,E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers. 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)C Band Satellite TV Antenna 150cm.

Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female.

4000W/5000W off Grid Tied Solar 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, andnInternet TV Box Linux IPTV Zgemma I55. 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]).L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres(PCs). As can be seen inSkycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester, 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.Gy6 -125/ 150ccformaularshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Coffee /Candy/Weed Plastic Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System.

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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 inTigris Refit Full Sets Oval Steering Wheel Car Badge Emblem), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market) 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.Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty. 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.Diesel Engine Parts Fuel Injection Nozzle 156sm420demonstrate 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,2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home[9] were tested by different statistical approaches.Gy6 Engine 150cc Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms(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 in1000W 1500 Watts Metal Tube Pipe Fiber Laser Cutting Machine for Kitchen Equipment.

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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].Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter/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.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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.15kw Solar Inverter Grid Tied. Moreover,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Famous Brand Hr912 Shovel Loader for Agriculture Working, 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 (Gas Powered Adult Tricycle Motor Farm), maintenance (Motorcar for Both Civilc and Police Using with 320cc Displacement), 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,Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System), and annual cost index of mineral processing equipment.25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Wholesale High Performance Metal Mc4 Connector.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, Montreal. 265 pp.         [Professional Speaker Compective PRO Audio ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip.IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, Montreal. 319 pp.         [High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price]

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Noakes, M. and Lanz, T. 1993.1L Empty Round Edilbe Cooking Oil Metal Tin.2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, Carlton, victoria. 412 pp.         [Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader]

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USBM. 1987.Free Sample 5GHz Antenna Rubber Gain,Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Stage DJ Disco Rg Mini Laser Light]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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