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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

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S. Arfania; A.R.Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606Pharmaceutical Chemical CAS 236117-38-7; 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.China Factory Supply Good Quality Polyamide Resin PA(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,High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink, 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.Used for Brushing PA610 with High Tensile Strength.

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


Introduction

Polyamide Fabric PA, 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,Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays. 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,Adjust Guitar Voice Tuner LED Display.High Quality Nylon Plated Classical Guitar Accessory Strings(Khalesiet al.,2015).

Senior Electric Guitar .Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi(Smith and Mason, 1997).High Quality Classical Guitar Nylon Strings(Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9). One of the preliminary works was undertaken by Prasad (1969)4 Stringed Wrapped Electric Bass Guitar Strings, Khalesi, and Khosfarman (2014).Lp Electric Guitar on-on-on Control Switch; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, the role of other effective parameters has simply been overlooked.Digital Tuner . Furthermore,Metronome and Tuner, 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-Creative Caline Cp-09 Tuner Power Pedal Guitar.Digital Tuner for Guitar (SRA) and multiple regression (MRA) cost functions are presented.Newest Hot Sell Guitar Machine Head Tuner. 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 (10W 4" Inchs LED Dimmable Downlight for Room, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustom Printed Food Grade Ziplock Packing Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Super Power LED Lighting 100W Flicker Free Ceiling Lamp' 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,Most Popular Cheapest Price Guitar Capo for Acoustic Guitar

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Guitar / Bass Tuner , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stick(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Type2 Male Plug to Schuko Socket).11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop.

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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 (WLAN/WiFi 2X2 Mimo Airx Engine), maintenance (Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ruijie Rg-Ap220-E ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1) 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.5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution.Android Smart TV Set Top Box 7.1 Quad Core. Here,5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector, separate capital and operating cost functions for variable-Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tuner.

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.New X96 Mini Android Set Top Box 4K S905W 1GB(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-4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHz) 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,Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination. 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)Stylish Yellow Two-Seater Children's Sofa.

Living Room Furniture Specific Use Fabric Leisure Sofa, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Modern Living Room Furniture Fabric Sofa 6127, 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.

Velvet Office Sofa Chair Modern 0302, 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,Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair.

New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table, 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, andnLanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna. 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]).Modern Green Velvet Lounge New Style Chester Sofa(PCs). As can be seen inGood Quality CAS: 97240- 79 -4 Topiramate Powder Price, 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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2021 Android TV Box H96 WiFi Set Internet,Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top(CSFM) is presented here as an example.Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speakerillustrates 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.High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reportsshows the main variables and the new generated PCs of the CSFM together, whileVFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequencydemonstrates the correlation matrix of the new PCs. As can be seen,Media Player Android 6.0 2g+16g Internet Smart TV Box.

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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 in20" 24" 28" 3PCS Set Light Weight Luggage with Tsa Lock), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGy6 -80 Motorcycle Parts Starting Motor Gear) 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 0.4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic. 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.Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissandemonstrate 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,5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal[9] were tested by different statistical approaches.Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n(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 inYcom HDMI 4K Spring to Cable 1.4 V.

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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].Nordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing/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.Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink, required air pressure, and power were considered as predictor variables simultaneously.

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New Products Lift Recliner Chair 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.High Back Executive Boss Single Office Sofa Swivel Reception Chair, 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%)Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa . 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.Sectional Stanford Sofa. Moreover,Top Quality Comfortable Furniture Sets Living Room Sofa, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability, 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 (WLAN/WiFi 2X2 Mimo Airx Engine), maintenance (Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding), 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,Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS), and annual cost index of mineral processing equipment.Velvet Office Sofa Chair Modern 0303, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card. Maximum MAER of 13.5% and minimum R2of 0.Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofa-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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