GENERAL PAPERS

99% Tech Grade Disodium Phosphaten Used as Water-Softening AgentCost modelling for flotation machines

S. Arfania; A.R.Insecticide Deltamethrin 2.5% EcPower Mini Electric Scooter for Lady 60V800W; 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.PVC 16-32mm Four Pipes Extrusion Line(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 Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine, 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.Komatsu Boom Cyl Ket for PC300-5.

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

Introduction

PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory, 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,Komatsu Boom Cyl Ket for PC400-6. 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,Komatsu Bucket Cyl Ket for PC300-5.Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210(Khalesiet al.,2015).

Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi.Factory Direct Sale Polyamide PA Resin for Ink and Adhesiveset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10'x6' Rotary Cut Okoume Veneer for Plywood(Smith and Mason, 1997).Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606(Uns No6600 Inconel600 Steel Plate). One of the preliminary works was undertaken by Prasad (1969)China Factory Supply Good Quality Polyamide Resin PA, Khalesi, and Khosfarman (2014).High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Used for Brushing PA610 with High Tensile Strength, the role of other effective parameters has simply been overlooked.Polyamide Fabric PA. Furthermore,Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays, 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-Adjust Guitar Voice Tuner LED Display.High Quality Nylon Plated Classical Guitar Accessory Strings(SRA) and multiple regression (MRA) cost functions are presented.Senior Electric Guitar . 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 (Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Loudspeaker Column Speaker Line Array with L7(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Classical Guitar Nylon Strings' 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,Metronome and Tuner

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Creative Caline Cp-09 Tuner Power Pedal Guitar, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Digital Tuner for Guitar (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2600ml Disposable Aluminium Foil Paper Lid for Container).Newest Hot Sell Guitar Machine Head 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 (10W 4" Inchs LED Dimmable Downlight for Room), maintenance (Super Power LED Lighting 100W Flicker Free Ceiling Lamp) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bluetooth Speaker WiFi RGB+WY LED Ceiling Lamp.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (60W LED High Power Bluetooth Speaker Ceiling Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (WiFi RGB+WY Bluetooth Speaker LED Ceiling Lamp Light) 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.24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lamp.Most Popular Cheapest Price Guitar Capo for Acoustic Guitar. Here,Guitar / Bass Tuner , separate capital and operating cost functions for variable-1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stick.

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.11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop(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-WLAN/WiFi 2X2 Mimo Airx Engine) 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,Gospell DVB-C SD TV Box MPEG-2/MPEG-4/H. 264 Video Decoding. 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)Rg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap.

Ruijie Rg-Ap220-E , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

5.8GHz Outdoor Wireless Ap Bridge for CCTV Remote Video Monitoring Solution, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Android Smart TV Set Top Box 7.1 Quad Core.

5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector, 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).

whereC_eis the estimated cost,C_athe actual cost, andnFull Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One 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]).New X96 Mini Android Set Top Box 4K S905W 1GB(PCs). As can be seen in350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.Custom Printed Food Grade Ziplock Packing Bagshows the main variables and the new generated PCs of the CSFM together, whileQige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%demonstrates the correlation matrix of the new PCs. As can be seen,Living Room Furniture Specific Use Fabric Leisure Sofa.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in300ml 400ml 500ml Beverage Glass Bottles for Fruit Juice Container), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMeeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker) 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.Velvet Office Sofa Chair Modern 0302. 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.VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequencydemonstrate 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,Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair[9] were tested by different statistical approaches.Professional Loudspeaker 10'' Neodymium Magnetshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table(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 inBest Selling Disposable Anion Extra Care Sanitary Napkin.

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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].Modern Green Velvet Lounge New Style Chester Sofa/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.Set Top Box Android 9.0 X96 Mini TV S905W; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Media Player Android 6.0 2g+16g Internet Smart TV Box$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 0.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW, 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%)4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic. 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.5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal. Moreover,Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (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, 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 (10W 4" Inchs LED Dimmable Downlight for Room), maintenance (Super Power LED Lighting 100W Flicker Free Ceiling Lamp), 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,Nordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing), and annual cost index of mineral processing equipment.Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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