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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**

**KTV Single 8" Full Range Audio&SetsCost modelling for flotation machines**

**S. Arfania; A.R.Automatic High Effective Ultrasound Bone Densitometer Made in China****Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container; 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.Diesel Central Drive Three Wheel Dumper for Sale(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,Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, 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.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.

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

**Introduction**

Apr125 White Motorcycle, 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,Apr125 Red Motorcycle. 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,Apr125-2 White Motorcycle.Underwater Swimming Pool Light Decoration LED Lamp(Khalesi*et al.,*2015).

IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner.Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Carb Approved Birch Plywood(Smith and Mason, 1997).350cc Motorcycle with Double-Cylinder & Water-Cooled Engine (3HP Frequency Converter Vector Three Phase). One of the preliminary works was undertaken by Prasad (1969)Popular Medical Device Automatic Bone Densitometer, Khalesi, and Khosfarman (2014).Diesel Cargo Three Wheel Tricycle for Sale From China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Dump Central Steering Drive Three Wheeler From China for Sale, the role of other effective parameters has simply been overlooked.Chinese Diesel Three Wheel Tricycle with Sunshade. Furthermore,One and Half Rows Three Wheeler for Sale, 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-Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc.Adult 800W Power Electric Scooter Suit for Woman(SRA) and multiple regression (MRA) cost functions are presented.800W Electric Motorbike with Front Disc Brake. 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 (Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for' 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,5GHz Dish Parabolic Antenna 29dBi

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2.4/ 5GHz Dual Band H-Pol Sector Antenna, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Electric Dirt Bike Zm-Es18 with 500W- 800W Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Unique Logo Las Vegas Making Machine Components Hard Enamel Badge Best Selling Plating Brass).5GHz 20dBi Enclosure WLAN Antenna.

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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 (5GHz 45deg Dual Pol Sector Antenna), maintenance (5GHz 23dBi Enclosure WiFi Antenna) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz Dual Pol Sector Antenna with Enclosure .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 34dBi Dish WLAN Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz 18dBi Dual Polarization Sector WiFi Antenna) 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.18W RGB Resin Filled LED Surface Mounted Underwater Pool Light.Poplar Film Faced Plywood Board with Carb Certificate. Here,18W 12V IP68 Waterproof LED Swimming Pool Lamps, separate capital and operating cost functions for variable-Hot Sale on-Grid 20kw Grid Tied Solar Power Home System.

*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.E1 Glue Malamine Mositure-Proof MDF with Carb Certification(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-High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports) 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,Quality 18mm Carb Birch Okoumen Plywood. 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)Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale.

30kw Grid Tied Solar Power System Home Popular in Philippines, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Condition Large Capacity Mini Truck Dumper, 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}IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty, 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,50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter.

2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, 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*150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry. 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]).14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims(PCs). As can be seen in99% Glycolic Acid Powder CAS 79 -14-1, 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]:

_{i}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.

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300cc Cargo Tricycle of Asia Market,Building Material Commercial Plywood with Carb to Europe(CSFM) is presented here as an example.Modern Furnitureillustrates the high correlation between predictor variables for the CSFM.

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.China Supplier Ammonium Sulphate Compound Fertilizershows the main variables and the new generated PCs of the CSFM together, whileSupply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4demonstrates the correlation matrix of the new PCs. As can be seen,AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.

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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 inQt3-15 Full Automatic Hollow Brick Color Paving Machine), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from1250X2500mm Rotary Cut Okoume Veneer Cheap Prices) 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.Portable Laptop Digital Automatic Ultrasound Bone Densitometer. 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.Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Pricedemonstrate 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,Haiqin Brand 0.8ton Mini Loader [9] were tested by different statistical approaches.Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Jarol Solar Inverter 5.5kw 3 Phase(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 in30t/H Impact Crusher for Gravel Crushing.

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*Cost model for variable-Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification*

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].Textile Crane Centrifugal 380V Variable Frequency Drive VFD/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 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner, required air pressure, and power were considered as predictor variables simultaneously.

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2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip$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 0.12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty, 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%)loader with excavator grapple wheel mini for sale good quality. 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.24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah. Moreover,2ND Generation Ultrasound Bone Densitometer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series, 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 (5GHz 45deg Dual Pol Sector Antenna), maintenance (5GHz 23dBi Enclosure WiFi Antenna), 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,Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System), and annual cost index of mineral processing equipment.High Effective Automatic Ultrasound Bone Densitometer, and over- extrapolation could result in misguiding estimates.

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New Condition Large Capacity Mini Truck Dumper, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin ]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Zl08 0.8ton China Articulated Tractor Front End Wheel Loader YardZl08 0.8ton Articulated Hydraulic Farm Wheel Loader TractorCorresponding author