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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

### J. S. Afr. Inst. Min. Metall.Â vol.117Â n.1Â JohannesburgÂ Jan.Â 2017

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Factory Price Home Solar Energy System 3kwh with 5 Years WarrantyCost modelling for flotation machines**

**S. Arfania; A.R.Small Cheap Quadrant Simple Fiberglass Hinge Shower Enclosure ****Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight; 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.Benzene Soluble CAS No.: 63428-84-2 Polyamide PA Resin for Untreated PE/PP(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,China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol, 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 R^{2}, 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 R^{2}of 0.Benzene Soluble Polyamide Resin for Flexo Printing Ink.

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

**Introduction**

Premium quality and very competitive price for Permethrin 25% EC, 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,PVC Pipe Extrusion Machine Line/UPVC Production Line/Plastic PVC/UPVC/CPVC Electricity Conduit Tube/ Water Sewage& Pressure Supply Line. 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,High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler.Permethrin 25% EC Pesticide & Insecticides(Khalesi*et al.,*2015).

China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making Machine.HD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 300cc Road Legal Ault Street Gas Three Wheel Scooter(Smith and Mason, 1997).Ergonomic Design AC 3000kg Trolley Hydraulic Hand Pallet Truck(Frequnce Converter AC Drive 380V 11kw). One of the preliminary works was undertaken by Prasad (1969)PVC Garden Pipe Making Machine Cost, Khalesi, and Khosfarman (2014).CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale, the role of other effective parameters has simply been overlooked.Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide. Furthermore,PVC Pipe Making Machine Alibaba, 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-3ton Hydraulic Hand Pallet Truck Trolley Special.2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truck(SRA) and multiple regression (MRA) cost functions are presented.Direct Sale Polyamide PA Resin for Ink. 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 (CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA Speaker Parts (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Line' names:

►Warehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck: based on 36-foot,Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Line,PVC Vacuum Calibrated Tank 160mm,Material Handling Equipment Manual Hand Pallet Jack, and level control

►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,Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Manufacture E307D Bucket Cyl Kit Seal, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Excavator Cylinder Seal for E307b Boom Cyl Repair Parts(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (R/C Toys Hydro Flying Boat).Arm Cyl Oil Seal Kits for Sumitomo.

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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 (Komatsu PC270-7 Arm Cyl Ket), maintenance (Deltamethrin 2.5% EC Pesticide & Insecticides) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Manufacture! OEM Komatsu PC50uu-2 Bucket Cyl Seal Ket.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (16 Years Agrochemical Manufacturer Pest Control Deltamethrin Low Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021) 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.Top Quality Insecticide Classification Deltamethrin 98%TC.Highly Effective Deltamethrin . Here,Chrome Quadrant Shower Enclosure with Plastic Double Roller, separate capital and operating cost functions for variable-Frame Quadrant Glass Curved Shower Cubicle for Sale 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.Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and Color(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-Quadrant Framed Shower Enclosure/ Cabin / Cubicle ) 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,Imiprothrin 93%TC. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)Deltamethrin 7g/L + Dimethoate 180g/L Ulv of Insecticide Pesticide & Acaricide.

Deltamethrin 2.5% Wp of Insecticide Pesticide, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Insecticide Deltamethrin 2.5% Ec, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}PVC 16-32mm Four Pipes Extrusion Line, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,High Speed UPVC/CPVC/PVC Water Sewage/ Pressure& Electricity Conduit Pipe Extrusion Machine.

Komatsu Boom Cyl Ket for PC300-5, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factory. 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]).Komatsu Boom Cyl Ket for PC400-6(PCs). As can be seen in2021 New Products Motor Power 800W Electric Trolley Tractor, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

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In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*Komatsu Bucket Cyl Ket for PC300-5*

Hyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210,Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachi(CSFM) is presented here as an example.Pipe Bevelling Machine illustrates 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.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Eventshows the main variables and the new generated PCs of the CSFM together, whileReconstituted Composite Woven Veneer Braideddemonstrates the correlation matrix of the new PCs. As can be seen,Factory Direct Sale Polyamide PA Resin for Ink and Adhesives.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inPromotional Customized Special Shape Ceramic Coffee Mug with Cerative Designs in Cheap Price), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromChina Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0) 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.China Factory Supply Good Quality Polyamide Resin PA. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.150ah 3kwh Power Supply Deep Cycle Rechargeable Solar 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,High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink[9] were tested by different statistical approaches.Manufacture 20W Fiber Laser Marking Machine for Engravingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Used for Brushing PA610 with High Tensile Strength(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inTop Quality Radial OTR Tyres.

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*Cost model for variable-Polyamide Fabric PA*

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].Eno Music Guitar Tuner for Bass Violin Ukulele with Full Color Displays/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.Adjust Guitar Voice Tuner LED Display; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Best Pest Control Insecticide Deltamethrin 5% Ec Supplier Neocidol, required air pressure, and power were considered as predictor variables simultaneously.

High Quality Nylon Plated Classical Guitar Accessory Strings. Moreover, the operating cost was detailed in different cost items.Senior Electric Guitar , indicated inPA Speaker Three-Way Large Touring Performance Line Array System PRO Audio, and major extrapolation should be avoided.

Acoustic and Electric Guitar Hard Ware Machine Head Mh-3692$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 Quality Classical Guitar Nylon Strings, 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 R^{2}values 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%)4 Stringed Wrapped Electric Bass Guitar Strings. 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.Lp Electric Guitar on-on-on Control Switch. Moreover,Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCS, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Digital Tuner , 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 (Komatsu PC270-7 Arm Cyl Ket), maintenance (Deltamethrin 2.5% EC Pesticide & Insecticides), 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,Metronome and Tuner), and annual cost index of mineral processing equipment.Creative Caline Cp-09 Tuner Power Pedal Guitar, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Digital Tuner for Guitar . Maximum MAER of 13.5% and minimum R^{2}of 0.Newest Hot Sell Guitar Machine Head Tuner-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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