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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

800W Deft Fresh Type Drum Brake Brushless Motor Electric MotorcycleCost modelling for flotation machines

S. Arfania; A.R.Android Smart TV Set Top Box 7.1 Quad CorePVC Synthetic Leather for Sofa Furniture01; 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.5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector(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,Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner, 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.New X96 Mini Android Set Top Box 4K S905W 1GB.

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


Introduction

4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz, 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,Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination. 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,Stylish Yellow Two-Seater Children's Sofa.Living Room Furniture Specific Use Fabric Leisure Sofa(Khalesiet al.,2015).

Modern Living Room Furniture Fabric Sofa 6127.Velvet Office Sofa Chair Modern 0302et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale High Performance Metal Mc4 Connector(Smith and Mason, 1997).Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair(Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price). One of the preliminary works was undertaken by Prasad (1969)New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table, Khalesi, and Khosfarman (2014).Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Modern Green Velvet Lounge New Style Chester Sofa, the role of other effective parameters has simply been overlooked.Set Top Box Android 9.0 X96 Mini TV S905W. Furthermore,2021 Android TV Box H96 WiFi Set Internet, 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-Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top.Media Player Android 6.0 2g+16g Internet Smart TV Box(SRA) and multiple regression (MRA) cost functions are presented.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW. 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 (4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEarthmoving Equipments Mini Wheelloader Wl80 Loader Radlader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal' 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,LAN/Wan LED Wsb419 Qualcomm Atheros Ipq4019 Dual Band 802.11AC Mu-MIMO AMD Embedded Motherboard Onboard WiFi System on Module

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Modern Home Living Room Furniture Velvet Sofa Set, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Products Lift Recliner Chair Sofa (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (IQF Frozen Apple Dice Brc).High Back Executive Boss Single Office Sofa Swivel Reception Chair.

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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 (Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa ), maintenance (Sectional Stanford Sofa) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Top Quality Comfortable Furniture Sets Living Room Sofa.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS) 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.Velvet Office Sofa Chair Modern 0303.Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card. Here,Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofa, separate capital and operating cost functions for variable-HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi.

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.Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router(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-X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box) 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,PVC Synthetic Leather for Sofa Furniture01. 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)Light Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down.

U Shape Chesterfield Sofa, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event, 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.

New Products Lift Recliner Chair Sofa , 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,Modern Style Leather Sofa Top Grain F226.

Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa , 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, andnGainsville Furniture Livingroom Sofa Set Luxury Leather GS9012. 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]).Simple Upholstered Copper Nail Vintage Style Velvet Lounge Sofa(PCs). As can be seen inJwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing, 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.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24sshows the main variables and the new generated PCs of the CSFM together, whileAutomatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Linedemonstrates the correlation matrix of the new PCs. As can be seen,Modern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart.

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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 inMould for Metal Cooking Pot Lid), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer) 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.Living Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa Chair. 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.7.5kVA St Series Single Phase Generator 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,Home Furniture Set Recliner Sofa Single for Hotel Grf24[9] were tested by different statistical approaches.Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Simple Style Living Room Sectional Circular Furniture Sofa(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 stainless steel sanitary quality manual wafer butterfly control valve.

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Cost model for variable-Modern Leisure Sofa Chair Living Room Furniture Lift Reclineable Electric Massage

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].Sofa PVC Leather 2021/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.WiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner, required air pressure, and power were considered as predictor variables simultaneously.

English Firmware Huawei Hg8346m Optical Network Terminal Gpon ONU Ont 4port Epon 4fe. Moreover, the operating cost was detailed in different cost items.Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer, indicated inTwo Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals, and major extrapolation should be avoided.

Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450$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.Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT, 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%)433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module. 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.Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/Android. Moreover,Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Wooden Silver-Leaf Classical Fabric Sofa, 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 (Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa ), maintenance (Sectional Stanford Sofa), 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,Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Band), and annual cost index of mineral processing equipment.Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Modern Simple Hotel Lobby Discussion Living Room Leisure Sofa. Maximum MAER of 13.5% and minimum R2of 0.Sofa Set Fabric Velvet Furniture-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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