GENERAL PAPERS

6inch Bar PA Full Sound Speaker System Audio MuslimsCost modelling for flotation machines

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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.Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012(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,Simple Upholstered Copper Nail Vintage Style Velvet Lounge Sofa, 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.Modern Antique Reproduction French Metal Sofa.

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

Introduction

Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star , 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,X96 Max Amlogic S905X2 Android8.1 2GB RAM 16GB ROM or 4GB 32GB 64GB 4K Android TV Box. 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,Modern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart.Nordic-Style Latex Three-Person Fabric Sofa Small Household Removable Modern Simple Living Room(Khalesiet al.,2015).

Living Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa Chair.Home Furniture Set Recliner Sofa Single for Hotel Grf24et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm(Smith and Mason, 1997).High Quality Simple Style Living Room Sectional Circular Furniture Sofa(Motorcyle with Bore * Stroke 66*58.2 mm). One of the preliminary works was undertaken by Prasad (1969)Modern Leisure Sofa Chair Living Room Furniture Lift Reclineable Electric Massage, Khalesi, and Khosfarman (2014).Sofa PVC Leather 2021; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,WiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver, the role of other effective parameters has simply been overlooked.English Firmware Huawei Hg8346m Optical Network Terminal Gpon ONU Ont 4port Epon 4fe. Furthermore,Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer, 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-Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450.Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT(SRA) and multiple regression (MRA) cost functions are presented.433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module. 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 (Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/Android, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair' 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,Sofa Set Fabric Velvet Furniture

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,OEM PVC Home Suede Inflatable Sofa with Footstool, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Modern Simple Living Room L Shape Corner Recliner Sectional Sofa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High absorption good quality grade B diapoonable baby products stock piece cheap full size diapers ready to ship).Fat Boy Bean Bag Cover for Sports.

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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 (64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV), maintenance (Living Room Lounge Furniture Sofa Fabric 3 Seater Couch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Stable Quality 1year Qhdtv HD IPTV Abonnement Reseller Panel Lxtream Code All Europe Italy UK USA Spain France Arabic Morocco Channel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Customization Available Modern Popular Home Furniture Set Living Room Leather Sofa) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cafe Bar Table Wrought Iron Home Living Room Dining) 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.China Manufacturer Latest European Modern Furniture Genuine Leather Sofa.Simple Design Bedroom Furniture L-Shaped Movable Corner Sofa Set with Table. Here,New Products Lift Recliner Chair Sofa , separate capital and operating cost functions for variable-Latest L Shape Genuine Leather /Bonded /PU /Fabric Flat Bedroom Furniture Sofa Bed.

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.Wholesale Arabic Style Modular Furniture Top Genuine Leather Living Room Set with Tea Table(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-Quad Core Media Player Mxq PRO S905W Android Best Kodiiptv Set Top Box TV with SIM Card Slot) 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,High Quality Footbath Sofa / Foot Massage. 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)New Products Lift Recliner Chair Sofa .

SP-KS410) Customized Fabric Softwood Frame Sofa, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (IPTV Reseller Panel for Qhdtv Susbcription 1year Code Wholesale 1500+ Live & VOD Sports News Channels Arabic French Belgium African Andoird TV Box, 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.

Modern European Style Noble House Furniture Large Sectional Fabric 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Factory Offer Nordic Removable and Washable Livingroom Fabric Sofa.

1 Year Qhdtv Abonnement IPTV Subscription Code Europe Spain Portugal France Italia Arabic Italy French Belgium for Android Smart TV Box M3u, 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, andnWorld IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Box. 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]).800kg Wheel Loader Mini 780 Radlader(PCs). As can be seen inFactory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, 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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AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD,Modern Home Hotel Lesuire Corner Single Fabric Living Room Sofa(CSFM) is presented here as an example.High Quality Simple Style Living Room Sectional Circular Furniture Sofaillustrates 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.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeakershows the main variables and the new generated PCs of the CSFM together, whileBest Price Diclofenac Sodium with High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,Living Room Furniture.

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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 in18-24 Ton Excavator Mounted Hydraulic Pulveriser), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLf Drivers 10 Inches Professional Speaker Pw1032-64) 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.Cheapest Set Top Box Mxq PRO Rk3229 Android 7.1 Quad Core 1GB 8GB TV. 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.High Speed Electric Motorcycle Scooterdemonstrate 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,Nordic Leather Sofa Modern Simple Three Seats[9] were tested by different statistical approaches.2013 Popular Electric Motorcycle 90km with Pedal CE shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture(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 inFactory Hot Sale 8ml Nail Gel Polish Care.

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Cost model for variable-Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner

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].Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture/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.2021 New Modern Design Living Room Leather Sofa; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Simple Upholstered Copper Nail Vintage Style Velvet Lounge Sofa, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality European Style Modern Furniture$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 0.2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture , 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%)VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter. 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.Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa. Moreover,7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesale Folding Bed   Recliner Sofa Beds Fabric, 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 (64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV), maintenance (Living Room Lounge Furniture Sofa Fabric 3 Seater Couch), 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,Modern Furniture), and annual cost index of mineral processing equipment.Foshan Factory Wholesale High Quality Living Room Leather Sofa, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box. Maximum MAER of 13.5% and minimum R²of 0.Motor Electronic Power Frequency Converter 380V 2.2kw-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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