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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**

**Chinese Mini Radlader 800kg Wheel Loader with PirceCost modelling for flotation machines**

**S. Arfania; A.R.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift****Replica Aluminum Alloy Wheels for Skoda; 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.Yn725 Yineng Mini Wheel Loader 18.5kw(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,Wheel Loader Mini Wolf Wl80 with Forks, 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.Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System.

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

**Introduction**

Wolf Wl80 Mini Radlader Hoflader with Forks in Farm, 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,High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base. 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,L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export(Khalesi*et al.,*2015).

Big 4000W 70V Electric Scooter.4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Low Frequency Inverter AC Drive(Smith and Mason, 1997).18L Square Metal Tin Cans with Handle and Lid for Oil(Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price). One of the preliminary works was undertaken by Prasad (1969)Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, Khalesi, and Khosfarman (2014).Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Grid Tied 30kw Solar PV System for Shingle Roof, the role of other effective parameters has simply been overlooked.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale. Furthermore,Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase, 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-off Grid 5kw 10kw Solar Power System.Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof(SRA) and multiple regression (MRA) cost functions are presented.2013 Popular Electric Motorcycle 90km with Pedal CE . 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 (Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wolf Loader Wl80 Radlader Without Cabin' names:

►Yn725g Approved Hot Sale Mini Wheel Loader Yn725: based on 36-foot,Er08 New CE Approved Small Shovel Loader,Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader,Hot Sale Mini Wheel Loader Yn725g, 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,0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Low Frequency Inverter AC Drive, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Frequency Inverter Converter 50Hz 60Hz(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom 3D Clay Figures for Hot Sale Story-Driven Semi-Cooperative Strategy).Single Phase Mini AC DC Motor Speed Controller.

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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 (Frequency Inverter Pump AC Drive Price), maintenance (Jarol Frequency Inverter JAC200 3 Phase 380V 4kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Drive Inverter Low Frequency Power) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump) 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.AC Drive Variable Drive.China AC Drive Manufacturers. Here,China AC Drive Frequency Inverter Manufacturer Supplier, separate capital and operating cost functions for variable-Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle.

*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.1500W Electric Motorcycle(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 Speed Electric Motorcycle Scooter) 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,Bl-Xgz Electric Motorcycle. 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)Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android.

Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bl-Xgw Electric Motorcycle, 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}Yineng Yn725 Mini Wheel Loader 18.5kw Cabin, 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,Yn725 Mini Small Perkins Engine Wheel Loader.

21kw Grid- Tied Solar Power System with 25 Years Working Time, 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*Home Solar System 2kw Panel. 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]).Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner(PCs). As can be seen inNBR Nitril 80 Duro Rubber X Ring /Quad, 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.

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Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use,Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use(CSFM) is presented here as an example.Line Array PA Speaker System Stage 12inch Monitor PRO Audioillustrates 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.Good Taste Maltose Sugar Hot Selling Price 69- 79 -4shows the main variables and the new generated PCs of the CSFM together, whileAutomatic Red Point Laser Marking Machine for Metal Aluminum Plasticdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality 5000W Grid Tied Solar Power Generation System Competitive Price.

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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 inSemi-Automatic Tube Laser Cutting Machine Round), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip) 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.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H. 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.Empty Lubricant Oil Tin Can Packaging for Motordemonstrate 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,Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike[9] were tested by different statistical approaches.Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yangtze 10kw Grid- Tied Solar System(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 inCe Standard Color Kq8-128 Tile Roof Machine.

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*Cost model for variable-Frequency Converter AC Drive 220V Inverter China Variable Speed Controller*

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].4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil/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.Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Wheel Loader Mini Wolf Wl80 with Forks, required air pressure, and power were considered as predictor variables simultaneously.

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5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container$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.Yn725g Hot Sale Mini Wheel Loader, 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%)Articulated Loader Mini Compact Wheel with Shovel. 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.Good Quality Empty Metal Tin Paint Glue Cans. Moreover,Everun 0.8ton Chinese Articulated Mini Wheel Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity, 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 (Frequency Inverter Pump AC Drive Price), maintenance (Jarol Frequency Inverter JAC200 3 Phase 380V 4kw), 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,500ml Round Resealable Tin Can with Easy Open Screw Top Lid), and annual cost index of mineral processing equipment.Compact wheel loader snow pusher landscaping, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle. Maximum MAER of 13.5% and minimum R^{2}of 0.Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Customized Multi Birch Veneer Plywood Manufacturer5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi GainCorresponding author