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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

Good-Sealing Square Tin Can Engine Oil with Metal LidCost modelling for flotation machines

S. Arfania; A.R.Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692Frequency Inverter VFD AC Drive; 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.High Quality Classical Guitar Nylon Strings(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,4 Stringed Wrapped Electric Bass Guitar Strings, 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.Lp Electric Guitar on-on-on Control Switch.

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


Introduction

Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, 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,Digital Tuner . 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,Metronome and Tuner.Creative Caline Cp-09 Tuner Power Pedal Guitar(Khalesiet al.,2015).

Digital Tuner for Guitar .Newest Hot Sell Guitar Machine Head Tuneret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship(Smith and Mason, 1997).10W 4" Inchs LED Dimmable Downlight for Room(L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box). One of the preliminary works was undertaken by Prasad (1969)Super Power LED Lighting 100W Flicker Free Ceiling Lamp, Khalesi, and Khosfarman (2014).Bluetooth Speaker WiFi RGB+WY LED Ceiling Lamp; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,60W LED High Power Bluetooth Speaker Ceiling Light, the role of other effective parameters has simply been overlooked.WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light. Furthermore,24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp, 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-Most Popular Cheapest Price Guitar Capo for Acoustic Guitar.Guitar / Bass Tuner (SRA) and multiple regression (MRA) cost functions are presented.1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stick. 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 (11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inISO Certificated Company Supply Skin Whitening Retinoic Acid Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;WLAN/WiFi 2X2 Mimo Airx Engine' 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,5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Android Smart TV Set Top Box 7.1 Quad Core, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Wheel Alignment Balance Machine).Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner.

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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 (New X96 Mini Android Set Top Box 4K S905W 1GB), maintenance (4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Stylish Yellow Two-Seater Children's Sofa) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Living Room Furniture Specific Use Fabric Leisure Sofa) 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.Modern Living Room Furniture Fabric Sofa 6127.Velvet Office Sofa Chair Modern 0302. Here,Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair, separate capital and operating cost functions for variable-New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table.

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.Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna(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-Modern Green Velvet Lounge New Style Chester Sofa) 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,Set Top Box Android 9.0 X96 Mini TV S905W. 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)2021 Android TV Box H96 WiFi Set Internet.

Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Media Player Android 6.0 2g+16g Internet Smart TV Box, 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.

2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW, 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,4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic.

5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal, 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, andnMulti-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n. 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]).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(PCs). As can be seen inTitan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using, 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.Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bagshows the main variables and the new generated PCs of the CSFM together, while10'' Ferrite Wooferdemonstrates the correlation matrix of the new PCs. As can be seen,Modern Home Living Room Furniture Velvet Sofa Set.

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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 in2021 Fashionable Cheap Adult Amusement Outdoor Playground of Wisdom Series), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCompressor Low Cost Small Type Pressure Transducer) 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.High Back Executive Boss Single Office Sofa Swivel Reception 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.PVC Synthetic Leather for Sofa Furniture01demonstrate 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 Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa [9] were tested by different statistical approaches.Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sectional Stanford 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 inDIN927 Black Oxide Reasonable Price Slotted Shoulder Screws.

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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].1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability/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.Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4 Stringed Wrapped Electric Bass Guitar Strings, required air pressure, and power were considered as predictor variables simultaneously.

Velvet Office Sofa Chair Modern 0303. Moreover, the operating cost was detailed in different cost items.Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card, indicated inJwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing, and major extrapolation should be avoided.

Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofa$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.HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi, 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%)Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router. 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.X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box. Moreover,PVC Synthetic Leather for Sofa Furniture01, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Light Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down, 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 (New X96 Mini Android Set Top Box 4K S905W 1GB), maintenance (4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz), 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,U Shape Chesterfield Sofa), and annual cost index of mineral processing equipment.Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New Products Lift Recliner Chair Sofa . Maximum MAER of 13.5% and minimum R2of 0.Modern Style Leather Sofa Top Grain F226-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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