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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

Covered Tricycle Carriage Closed Cargo BoxCost 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.Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner(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,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, 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.Apr125 White Motorcycle.

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


Introduction

Apr125 Red Motorcycle, 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,Apr125-2 White Motorcycle. 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,Underwater Swimming Pool Light Decoration LED Lamp.IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner(Khalesiet al.,2015).

Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake.350cc Motorcycle with Double-Cylinder & Water-Cooled Engine et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plastics(Smith and Mason, 1997).Popular Medical Device Automatic Bone Densitometer(Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8). One of the preliminary works was undertaken by Prasad (1969)Diesel Cargo Three Wheel Tricycle for Sale From China, Khalesi, and Khosfarman (2014).Diesel Dump Central Steering Drive Three Wheeler From China for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Diesel Three Wheel Tricycle with Sunshade, the role of other effective parameters has simply been overlooked.One and Half Rows Three Wheeler for Sale. Furthermore,Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc, 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-Adult 800W Power Electric Scooter Suit for Woman.800W Electric Motorbike with Front Disc Brake(SRA) and multiple regression (MRA) cost functions are presented.Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle. 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 (dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Sale Big Pickup Tricycle with 300cc Water Cooled Engine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model' 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,2.4/ 5GHz Dual Band H-Pol Sector Antenna

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electric Dirt Bike Zm-Es18 with 500W- 800W Motor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5GHz 20dBi Enclosure WLAN Antenna(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Metal Souvenir Old Medal with Ribbon Customised Token Lanyardhigh Quality Wholesale 3D Enamel Sport of Freedommasters Army Company).5GHz 45deg Dual Pol Sector Antenna.

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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 (5GHz 23dBi Enclosure WiFi Antenna), maintenance (5GHz Dual Pol Sector Antenna with Enclosure ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz 34dBi Dish WLAN Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 18dBi Dual Polarization Sector WiFi Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (18W RGB Resin Filled LED Surface Mounted Underwater Pool Light) 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.Poplar Film Faced Plywood Board with Carb Certificate.18W 12V IP68 Waterproof LED Swimming Pool Lamps. Here,Hot Sale on-Grid 20kw Grid Tied Solar Power Home System, separate capital and operating cost functions for variable-E1 Glue Malamine Mositure-Proof MDF with Carb Certification.

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.High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports(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-Quality 18mm Carb Birch Okoumen Plywood) 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,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale. 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)30kw Grid Tied Solar Power System Home Popular in Philippines.

New Condition Large Capacity Mini Truck Dumper, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty, 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.

50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter, 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,2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.

150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry, 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, andn14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims. 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]).Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories(PCs). As can be seen inProfessional Audio Speaker Dual 10 Inch Neodymium Line Array, 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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Building Material Commercial Plywood with Carb to Europe,AL908 800kg Rated Load Wheel Loader with CE Approved for Sale(CSFM) is presented here as an example.Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machineillustrates 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.USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6shows the main variables and the new generated PCs of the CSFM together, whileFlexible Label Laser Marking Machinedemonstrates the correlation matrix of the new PCs. As can be seen,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New.

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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 inFrom Shenzhen to Ireland/Bosnia/ Belgium /France/Croatia/Latvia/Lithuania Cheap and Fast Courier Agent Sea Shipping/Ocean Freight Forwarder), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMalaysia Laser Marking Machines for Jewellery) 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.Haiqin Brand 0.8ton Mini 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.10HP Three Phase Frequency Converterdemonstrate 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,Jarol Solar Inverter 5.5kw 3 Phase[9] were tested by different statistical approaches.AC Frequency Speed Controller 7.5kw VFD Drivesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification(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 inLaunch Automatically X831s Four Wheel Aligner.

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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].2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports/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.AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, required air pressure, and power were considered as predictor variables simultaneously.

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12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty$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.loader with excavator grapple wheel mini for sale good quality, 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%)24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah. 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.2ND Generation Ultrasound Bone Densitometer. Moreover,Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 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 (5GHz 23dBi Enclosure WiFi Antenna), maintenance (5GHz Dual Pol Sector Antenna with Enclosure ), 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,High Effective Automatic Ultrasound Bone Densitometer), and annual cost index of mineral processing equipment.Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer. Maximum MAER of 13.5% and minimum R2of 0.4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

EEC EPA Extreme Adult RC SnowmobileMedical Automatic Ultrasound Bone Densitometer in Low PriceCorresponding author

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