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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
Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood LightCost modelling for flotation machines
S. Arfania; A.R.Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use; 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.Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap(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,Ruijie Rg-Ap220-E , 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 0.2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution, 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,Android Smart TV Set Top Box 7.1 Quad Core. 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,5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector.Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner(Khalesiet al.,2015).
New X96 Mini Android Set Top Box 4K S905W 1GB.4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571(Smith and Mason, 1997).Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination(Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone). One of the preliminary works was undertaken by Prasad (1969)Stylish Yellow Two-Seater Children's Sofa, Khalesi, and Khosfarman (2014).Living Room Furniture Specific Use Fabric Leisure Sofa; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Modern Living Room Furniture Fabric Sofa 6127, the role of other effective parameters has simply been overlooked.Velvet Office Sofa Chair Modern 0302. Furthermore,Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair, 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-New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table.Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna(SRA) and multiple regression (MRA) cost functions are presented.Modern Green Velvet Lounge New Style Chester Sofa. 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 (Set Top Box Android 9.0 X96 Mini TV S905W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPowerful Snow Ski LED Lights Adult Racing a Snowmobile(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Android TV Box H96 WiFi Set Internet' names:
►Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top: based on 36-foot,Media Player Android 6.0 2g+16g Internet Smart TV Box,2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW,4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic, and level control
►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,5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5.180- 5.825 GHz Qualcomm Atheros Qca9994 Wle1216V5-20 I-Temp 5.8GHz 44 Mu-MIMO 802.11AC Wave 2 80+80MHz Mini WiFi Module Card(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (OEM Super Absorbent Cotton Herbal Sanitary Napkins).Nordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing.
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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 (Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100), maintenance (LAN/Wan LED Wsb419 Qualcomm Atheros Ipq4019 Dual Band 802.11AC Mu-MIMO AMD Embedded Motherboard Onboard WiFi System on Module) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Modern Home Living Room Furniture Velvet Sofa Set.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (New Products Lift Recliner Chair Sofa ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Back Executive Boss Single Office Sofa Swivel Reception Chair) 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.Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa .Sectional Stanford Sofa. Here,Top Quality Comfortable Furniture Sets Living Room Sofa, separate capital and operating cost functions for variable-1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability.
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.Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS(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-Velvet Office Sofa Chair Modern 0303) 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,Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card. 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)Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofa.
HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router, 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.
X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box, 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,PVC Synthetic Leather for Sofa Furniture01.
Light Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down, 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, andnU Shape Chesterfield Sofa. 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]).Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event(PCs). As can be seen inElectric Scooter/ Motorcycle/TM-BQ, 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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Modern Style Leather Sofa Top Grain F226,Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa (CSFM) is presented here as an example.Auto Parts Laser Printing Machine Marking System Engraving Equipmentillustrates 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.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Arrayshows the main variables and the new generated PCs of the CSFM together, while2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012.
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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 inCheap Prices Waterproof Commercial Spc Click Flooring), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Cheap Colour Optional Electric Motorcycle for Adults) 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.
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.Modern Antique Reproduction French Metal Sofa. 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.Flying Online Fiber Laser Marking Machine with Conveyor Beltdemonstrate 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,Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star [9] were tested by different statistical approaches.Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.X96 Max Amlogic S905X2 Android8.1 2GB RAM 16GB ROM or 4GB 32GB 64GB 4K Android TV Box(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 inChina Sanitary Stainless Steel Handle Welded Butterfly Valve.
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Cost model for variable-Modern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart
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].Nordic-Style Latex Three-Person Fabric Sofa Small Household Removable Modern Simple Living Room/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.Living Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa Chair; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ruijie Rg-Ap220-E , required air pressure, and power were considered as predictor variables simultaneously.
Home Furniture Set Recliner Sofa Single for Hotel Grf24. Moreover, the operating cost was detailed in different cost items.High Quality Simple Style Living Room Sectional Circular Furniture Sofa, indicated inChina Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale, and major extrapolation should be avoided.
Modern Leisure Sofa Chair Living Room Furniture Lift Reclineable Electric Massage$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.Sofa PVC Leather 2021, 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%)WiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver. 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.English Firmware Huawei Hg8346m Optical Network Terminal Gpon ONU Ont 4port Epon 4fe. Moreover,Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450, 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 (Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100), maintenance (LAN/Wan LED Wsb419 Qualcomm Atheros Ipq4019 Dual Band 802.11AC Mu-MIMO AMD Embedded Motherboard Onboard WiFi System on Module), 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,Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT), and annual cost index of mineral processing equipment.433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/Android. Maximum MAER of 13.5% and minimum R2of 0.Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair-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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