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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

Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best PriceCost modelling for flotation machines

S. Arfania; A.R.4G Lte Cat7 Outdoor CPE 5GHz B46 5150-5925MHzEarthmoving Equipments Mini Wheelloader Wl80 Loader Radlader; 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.Nordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination(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,Stylish Yellow Two-Seater Children's 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.Living Room Furniture Specific Use Fabric Leisure Sofa.

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


Introduction

Modern Living Room Furniture Fabric Sofa 6127, 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,Velvet Office Sofa Chair Modern 0302. 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,Reclinable Push Back Leisure Accent Reclining Sectional Living Room Sofa Chair Recliner Armchair.New Arrivals Modern Office Furniture Leather Sofa Set with Tea Table(Khalesiet al.,2015).

Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antenna.Modern Green Velvet Lounge New Style Chester Sofaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Supply Dimethyl 2(Smith and Mason, 1997).Set Top Box Android 9.0 X96 Mini TV S905W(Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753). One of the preliminary works was undertaken by Prasad (1969)2021 Android TV Box H96 WiFi Set Internet, Khalesi, and Khosfarman (2014).Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Media Player Android 6.0 2g+16g Internet Smart TV Box, the role of other effective parameters has simply been overlooked.2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW. Furthermore,4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolic, 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-5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal.Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n(SRA) and multiple regression (MRA) cost functions are presented.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. 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 (Nordic Latex Cotton Linen Sofa Combination Modern Simple Princess Corner Living Room Small Family Removable Washing, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Special Wi-Fi 2.4G/5GWIFI+BLE5.0 WiFi Module IOT HF-LPF100' 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,Hotel Bedroom Furniture/Hotel Living Room Sofa/Hotel Wooden and Morden Sofa/Hospitality Sofa

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sectional Stanford Sofa, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Top Quality Comfortable Furniture Sets Living Room Sofa(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Ce RoHS Saso UL Screw Base E40 Dimmable 100W Industry LED Light Bulb Made in China for Home & Business Indoor Lighting From Best Supplier Factory).1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong Penetrability.

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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 (Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS), maintenance (Velvet Office Sofa Chair Modern 0303) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wireless Module Qualcomm Atheros Qca9880 Wle900vx 802.11AC Wave 1 Minipcie WiFi Network Card.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Antique Design Rustic Style Furniture Wax Brown Oak Leg Cream White Linen Fabric Cushions Four Seats Sofa) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi) 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.Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router.X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Box. Here,PVC Synthetic Leather for Sofa Furniture01, separate capital and operating cost functions for variable-Light Luxury Ins Style Super Soft Latex Fabric Sofa Nordic Small Family Living Room Double Three People Down.

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.U Shape Chesterfield Sofa(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-Love Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event) 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,New Products Lift Recliner Chair Sofa . 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)Modern Style Leather Sofa Top Grain F226.

Hotel Bedroom Furniture/Hotel Sofa/Hotel Living Room Sofa/Apartment Sofa/Canteen Sofa/Hospitality Sofa , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012, 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.

Simple Upholstered Copper Nail Vintage Style Velvet Lounge 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 Antique Reproduction French Metal Sofa.

Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star , 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, andnX96 Max Amlogic S905X2 Android8.1 2GB RAM 16GB ROM or 4GB 32GB 64GB 4K Android TV 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]).Modern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart(PCs). As can be seen inJy125t-36c 125cc Scooter with Cdi and Efi, 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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Living Room Leather Luxury Furniture Single Massage Relax Body Lift Recliner Lazy Sofa Chair,Home Furniture Set Recliner Sofa Single for Hotel Grf24(CSFM) is presented here as an example.Automatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Lineillustrates 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.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificateshows the main variables and the new generated PCs of the CSFM together, whileEverun Brand 0.8ton Compact Wheel Loader with 4in1 Bucketdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Simple Style Living Room Sectional Circular Furniture 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)

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 inCustomized UPVC/PVC Door Sliding Doors with Germany Hardware), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from7.5kVA St Series Single Phase Generator ) 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.Sofa PVC Leather 2021. 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.Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Batterydemonstrate 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,WiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiver[9] were tested by different statistical approaches.BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.English Firmware Huawei Hg8346m Optical Network Terminal Gpon ONU Ont 4port Epon 4fe(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 in100ml Glass Bottle Dropper.

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Cost model for variable-Anycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer

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].Australia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450/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.Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stylish Yellow Two-Seater Children's Sofa, required air pressure, and power were considered as predictor variables simultaneously.

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Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair$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.Chinese Wooden Silver-Leaf Classical Fabric Sofa, 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%)Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Band. 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.Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa . Moreover,Modern Simple Hotel Lobby Discussion Living Room Leisure Sofa, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sofa Set Fabric Velvet Furniture, 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 (Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS), maintenance (Velvet Office Sofa Chair Modern 0303), 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,OEM PVC Home Suede Inflatable Sofa with Footstool), and annual cost index of mineral processing equipment.Modern Simple Living Room L Shape Corner Recliner Sectional Sofa, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Fat Boy Bean Bag Cover for Sports. Maximum MAER of 13.5% and minimum R2of 0.64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV-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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