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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
AV input LCD wall panel 49inch surveillance monitorsCost modelling for flotation machines
S. Arfania; A.R.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production LineHigh Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip; 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.Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck(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,Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line, 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.PVC Vacuum Calibrated Tank 160mm.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Material Handling Equipment Manual Hand Pallet Jack, 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,Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator. 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,Factory Manufacture E307D Bucket Cyl Kit Seal.Excavator Cylinder Seal for E307b Boom Cyl Repair Parts(Khalesiet al.,2015).
Arm Cyl Oil Seal Kits for Sumitomo.Komatsu PC270-7 Arm Cyl Ketet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Go Kart (Smith and Mason, 1997).Deltamethrin 2.5% EC Pesticide & Insecticides(China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0). One of the preliminary works was undertaken by Prasad (1969)Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket, Khalesi, and Khosfarman (2014).16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021, the role of other effective parameters has simply been overlooked.Top Quality Insecticide Classification Deltamethrin 98%TC. Furthermore,Highly Effective Deltamethrin , 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-Chrome Quadrant Shower Enclosure with Plastic Double Roller.Frame Quadrant Glass Curved Shower Cubicle for Sale Price(SRA) and multiple regression (MRA) cost functions are presented.Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color. 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 (Quadrant Framed Shower Enclosure/ Cabin / Cubicle , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Imiprothrin 93%TC' 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,High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Komatsu Boom Cyl Ket for PC300-5, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Manufacturer Wholesale High Quality Bamboo Incense Stick).Komatsu Boom Cyl Ket for PC400-6.
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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 (Komatsu Bucket Cyl Ket for PC300-5), maintenance (Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Factory Direct Sale Polyamide PA Resin for Ink and Adhesives) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606) 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.China Factory Supply Good Quality Polyamide Resin PA.High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink. Here,Used for Brushing PA610 with High Tensile Strength, separate capital and operating cost functions for variable-Polyamide Fabric PA.
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.Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays(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-Adjust Guitar Voice Tuner LED Display) 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 Nylon Plated Classical Guitar Accessory Strings. 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)Senior Electric Guitar .
Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Classical Guitar Nylon Strings, 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.
4 Stringed Wrapped Electric Bass Guitar Strings, 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,Lp Electric Guitar on-on-on Control Switch.
Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, 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, andnDigital Tuner . 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]).Metronome and Tuner(PCs). As can be seen inManufacture 20W Fiber Laser Marking Machine for Engraving, 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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Digital Tuner for Guitar ,Newest Hot Sell Guitar Machine Head Tuner(CSFM) is presented here as an example.Inverter Cabinet VFD Multifuctional Frequency Inverters 55kwillustrates 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.PA Speaker Three-Way Large Touring Performance Line Array System PRO Audioshows the main variables and the new generated PCs of the CSFM together, while2HP 1 Phase Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,10W 4" Inchs LED Dimmable Downlight for Room.
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 inLED DIP Neon for Illuminated Business Lighting Sign), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays) 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.Bluetooth Speaker WiFi RGB+WY LED Ceiling Lamp. 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.Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooterdemonstrate 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,60W LED High Power Bluetooth Speaker Ceiling Light[9] were tested by different statistical approaches.Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/Androidshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light(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 inL-2pattern Factory Supplier Skid Steer Tyres.
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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].Most Popular Cheapest Price Guitar Capo for Acoustic Guitar/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.Guitar / Bass Tuner ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line, required air pressure, and power were considered as predictor variables simultaneously.
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WLAN/WiFi 2X2 Mimo Airx Engine$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.Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding, 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%)Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap. 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.Ruijie Rg-Ap220-E . Moreover,2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution, 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 (Komatsu Bucket Cyl Ket for PC300-5), maintenance (Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210), 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,Android Smart TV Set Top Box 7.1 Quad Core), and annual cost index of mineral processing equipment.5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner. Maximum MAER of 13.5% and minimum R2of 0.New X96 Mini Android Set Top Box 4K S905W 1GB-feasibility and even feasibility study level of projects.
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Noakes, M. and Lanz, T. 1993.4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic.5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal, Carlton, victoria. 412 pp. [Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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