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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**

**Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO AudioCost modelling for flotation machines**

**S. Arfania; A.R.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna****800W High Speed Electric Scooter/Bike; 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.Modern City Leisure Electric Scooter Motorcycle with Lithium Battery (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,White Truck Wheel 17.5X6.00 Steel Rims, 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 0.7.5kw MPPT with High Efficiency Solar Water Pump Controller.

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

**Introduction**

Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood, 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,AC Variable Frequency Drive Single Phase. 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,17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim.Triple Phase Variable Frequency Inverter AC Drive(Khalesi*et al.,*2015).

White Steel Wheel for Truck 17.5X6.00.Carb Grade 18mm Commercial Plywood*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush(Smith and Mason, 1997).Highlighted LED Electric Motorcycle with 60V 800W Power System(Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25). One of the preliminary works was undertaken by Prasad (1969)AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V, Khalesi, and Khosfarman (2014).High Speed Full Size Adult 800W Z1000 Electric Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Drives Frequency Inverter for Dyeing Machine, the role of other effective parameters has simply been overlooked.1220*2440*18mm Birch Plywood with Carb P2 Standard Quality. Furthermore,Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China, 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-China Wholesales Wheel Loader HR912 with Pallet Forks.AC Frequency Speed Controller 7.5kw VFD Drives(SRA) and multiple regression (MRA) cost functions are presented.Carb P2 Bleached White Poplar Plywood for Furniture. 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 (Professional Mini Wheel Loader for Sale with Low Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Temperature Vacuum Retort Pouch for Food Packaging(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Model Chinese Small Loader Front End Wheel for Sale' 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,Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Newest Kids Pedal Electric Drift Crazy Kart Go, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Shipping Agent DHL Express Service From China to Poland).IN-A7 handheld color doppler linear probe hip bone ultrasound scanner.

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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 (New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale), maintenance (7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Whole Sale Hammerhead 150cc Go Kart with Parts) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader) 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.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner.Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe. Here,WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, separate capital and operating cost functions for variable-Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland.

*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.Aj-Bmd500 New Generation Ultrasound Bone Densitometer(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-18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty) 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,5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home. 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)Solar Power System 8kw Grid Tied Solution.

CE China manufacturers mini wheel loader for sale at cheap price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine, 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}China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes, 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,6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System.

Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer , 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*5GHz 10dBi Wideband Omni WLAN Antenna. 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]).Jy125t-36c 125cc Scooter with Cdi and Efi(PCs). As can be seen inEverun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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}*5GHz 18dBi Dual Polarized Panel Antenna *

2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X,5GHz 23dBi Enclosure WLAN Antenna(CSFM) is presented here as an example.Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5illustrates 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.Lanbowan 4.9-6.5GHz 30dBi 2FT MIMO Dish Antennashows the main variables and the new generated PCs of the CSFM together, while6000W Inverter Grid Tied Home Solar Energy System Without Batterydemonstrates the correlation matrix of the new PCs. As can be seen,16" Inch Steel Wheel for Toyota Prado Land Cruiser.

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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 in85*120*16mm 6917zz 6917z 61917zz 61917z 6917 61917 1917s Zz 2z Z C3 C0 C2 Metal Shields Metric Thin-Section Radial Single Row Deep Groove Ball Bearing), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromCAS: 79 -44-7; Dimethylcarbamoyl Chloride;) 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.off Load 150cc Motorcycle with High Speed. 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.2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tieddemonstrate 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,China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter[9] were tested by different statistical approaches.Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery(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 inKills 99.99% of Bacteria Cleaning Gel Ready Stocks Alcohol Disinfectant Manufacturers Hand Sanitize 75% Sanitizer Antibacterial Wash.

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*Cost model for variable-Linux TV Box International Internet Smart IPTV Zgemma I55*

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].Replica Aluminum Alloy Wheels for BMW/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.20" Inch Replica Aluminum Alloy Wheels for Astonmartin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,White Truck Wheel 17.5X6.00 Steel Rims, required air pressure, and power were considered as predictor variables simultaneously.

2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player. Moreover, the operating cost was detailed in different cost items.Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg, indicated in2-Aminoanthraquinone CAS No 117- 79 -3, and major extrapolation should be avoided.

Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner$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.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB, 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%)Medical Automatic Ultrasound Bone Densitometer in Low Price. 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.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China. Moreover,Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine, 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 (New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale), maintenance (7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment), 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,Automatic High Effective Ultrasound Bone Densitometer Made in China), and annual cost index of mineral processing equipment.Diesel Central Drive Three Wheel Dumper for Sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner. Maximum MAER of 13.5% and minimum R^{2}of 0.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Modern FurnitureChina Supplier Ammonium Sulphate Compound FertilizerCorresponding author