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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

Home Solar System 2kw PanelCost modelling for flotation machines

S. Arfania; A.R.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System10'x6' Rotary Cut Okoume Veneer for Plywood; M.R. Khalesi

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.E1 Glue Malamine Mositure-Proof MDF with Carb Certification(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 Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, 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.Quality 18mm Carb Birch Okoumen Plywood.

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


Introduction

Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, 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,30kw Grid Tied Solar Power System Home Popular in Philippines. 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,New Condition Large Capacity Mini Truck Dumper.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty(Khalesiet al.,2015).

50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chipet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects(Smith and Mason, 1997).150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry(PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array). One of the preliminary works was undertaken by Prasad (1969)14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims, Khalesi, and Khosfarman (2014).Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,300cc Cargo Tricycle of Asia Market, the role of other effective parameters has simply been overlooked.Building Material Commercial Plywood with Carb to Europe. Furthermore,AL908 800kg Rated Load Wheel Loader with CE Approved for Sale, 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-China Jiaxing Jarol Frequency Inverter 0.75kw/220V New.Portable Laptop Digital Automatic Ultrasound Bone Densitometer(SRA) and multiple regression (MRA) cost functions are presented.Haiqin Brand 0.8ton Mini Loader . 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 (Jarol Solar Inverter 5.5kw 3 Phase, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification' 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,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),loader with excavator grapple wheel mini for sale good quality(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Low Cost Prefabricated Steel Structure Multi- Storey Apartment Buildings).24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah.

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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 (2ND Generation Ultrasound Bone Densitometer), maintenance (Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Effective Automatic Ultrasound Bone Densitometer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100) 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.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer.4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators. Here,Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV, separate capital and operating cost functions for variable-Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car.

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.12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage(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-5L Metal Round Cans for Paint or Chemical Packaging) 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,150cc Motorcycle. 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)5L Vegetable Cooking Oil Custom Tinplate Square Can.

Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wholesale Plastic Square 1 Liter Fertilizer Bottle, 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.

Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium, 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,50cc Motorcycle.

Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw, 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, andnZhenhua Classic Motorcycle Dax 125cc Euro4. 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]).Super Cooling Smart Electric Scooter 500W 800W Motorcycle(PCs). As can be seen inCosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a, 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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Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw,5GHz Dual Pol Sector Antenna with Enclosure(CSFM) is presented here as an example.800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle illustrates 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.High Quality 98% Acrylamid Powder CAS 79 -06 1shows the main variables and the new generated PCs of the CSFM together, whileNew Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220demonstrates the correlation matrix of the new PCs. As can be seen,5GHz 18dBi Dual Polarized Enclosure Antenna .

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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 inSwitching power supply 75W12V6a Ultra-thin supply), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLG 46" 49" 55" DVI LED video panel for monitoring) 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.Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion. 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.Head Gasket 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,5GHz 18dBi Sector WiFi Antenna[9] were tested by different statistical approaches.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reportsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.125cc Retro Scooter Motorcycle(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 inGlamouous Halter Strap Lace Short Dress.

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Cost model for variable-Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios

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 Selling 800W Brushless Motor Electric Scooter 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.Lady's E-Scooter 800W Hot Sale Made in China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, required air pressure, and power were considered as predictor variables simultaneously.

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Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals$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 0.5GHz Antenna High Gain 16dBi Panel, 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%)2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports. 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.5GHz 29.5dBi Die Cast Grid Antenna. Moreover,No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights, 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 (2ND Generation Ultrasound Bone Densitometer), maintenance (Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series), 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,5GHz 23dBi Dual Polarized Panel Antenna ), and annual cost index of mineral processing equipment.5GHz 27dBi Enclosure WiFi Antenna, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,TUV Certificate Gried Tied on Grid 20kw Solar PV System. Maximum MAER of 13.5% and minimum R2of 0.High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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