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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

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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.Alcohol Solvent Polyamide Resin for Paper Gravure Printing Ink(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,Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines, 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.Hot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health.

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


Introduction

High Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine, 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,Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure . 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,Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP.China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLow Failure Rate High Efficiency Induction Metal Heating Machine (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PVC Pipe Making Machine Alibaba' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (300ml Tumblers Stainless Steel Vacuum Insulated Coffee Tumbler Wholesale).PVC Vacuum Calibrated Tank 160mm.

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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 (Material Handling Equipment Manual Hand Pallet Jack), maintenance (Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Manufacture E307D Bucket Cyl Kit Seal.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Excavator Cylinder Seal for E307b Boom Cyl Repair Parts) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Arm Cyl Oil Seal Kits for Sumitomo) 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.Komatsu PC270-7 Arm Cyl Ket.Deltamethrin 2.5% EC Pesticide & Insecticides. Here,Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket, separate capital and operating cost functions for variable-16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price.

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.Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021(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-Top Quality Insecticide Classification Deltamethrin 98%TC) 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,Highly Effective Deltamethrin . 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)Chrome Quadrant Shower Enclosure with Plastic Double Roller.

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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.

Quadrant Framed Shower Enclosure/ Cabin / Cubicle , 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,Imiprothrin 93%TC.

Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide, 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, andnDeltamethrin 2.5% Wp of Insecticide Pesticide. 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]).Insecticide Deltamethrin 2.5% Ec(PCs). As can be seen in20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel, 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.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2shows the main variables and the new generated PCs of the CSFM together, whileP-Toluenesulfinic Acid Sodium Salt Hydrate demonstrates the correlation matrix of the new PCs. As can be seen,PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory.

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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 inTravel Outdoor Trolley Case Large Suitcase Bag Luggage for Children), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0.8ton Contruction Machine Mini Small Wheel Loader with Bucket) 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.Komatsu Bucket Cyl Ket for PC300-5. 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.Three Phase 220V Frequency Converter with Vector Controldemonstrate 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,Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210[9] were tested by different statistical approaches.Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Carshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi(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 inCustom ABS Plastic Auto Logo Black Car Badge Emblem.

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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].Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606/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.China Factory Supply Good Quality Polyamide Resin PA; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines, required air pressure, and power were considered as predictor variables simultaneously.

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Polyamide Fabric PA$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.Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays, 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%)Adjust Guitar Voice Tuner LED Display. 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.High Quality Nylon Plated Classical Guitar Accessory Strings. Moreover,Senior Electric Guitar , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692, 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 (Material Handling Equipment Manual Hand Pallet Jack), maintenance (Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator), 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,High Quality Classical Guitar Nylon Strings), and annual cost index of mineral processing equipment.4 Stringed Wrapped Electric Bass Guitar Strings, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Lp Electric Guitar on-on-on Control Switch. Maximum MAER of 13.5% and minimum R2of 0.Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS-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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