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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**

**Diesel Engine Parts Fuel Injection Nozzle Dlla155p273Cost modelling for flotation machines**

**S. Arfania; A.R.2.5A 0.4kw IP20 Jarol Variable Frequency Drive****High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS; 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.No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip(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,High Quality Underwater Swimming Pool Light Decoration LED Lamp, 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 0.17 Inch Machined Aftermarket Alloy Wheel .

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

**Introduction**

2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty, 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,New Electric Beatiful on Road 800W Scooter E-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,5GHz 15dBi Dual Polarization Enclosure WiFi Antenna.Modern City Leisure Electric Scooter Motorcycle with Lithium Battery (Khalesi*et al.,*2015).

White Truck Wheel 17.5X6.00 Steel Rims.7.5kw MPPT with High Efficiency Solar Water Pump Controller*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Power Saver for Industrial (Smith and Mason, 1997).Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood(Small Wheel Loader Zl08 CE). One of the preliminary works was undertaken by Prasad (1969)AC Variable Frequency Drive Single Phase, Khalesi, and Khosfarman (2014).17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Triple Phase Variable Frequency Inverter AC Drive, the role of other effective parameters has simply been overlooked.White Steel Wheel for Truck 17.5X6.00. Furthermore,Carb Grade 18mm Commercial Plywood, 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-Highlighted LED Electric Motorcycle with 60V 800W Power System.AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V(SRA) and multiple regression (MRA) cost functions are presented.High Speed Full Size Adult 800W Z1000 Electric Motorcycle. 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 (AC Drives Frequency Inverter for Dyeing Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inQ1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1220*2440*18mm Birch Plywood with Carb P2 Standard Quality' 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,Professional Mini Wheel Loader for Sale with Low 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,New Model Chinese Small Loader Front End Wheel for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Mimo Antenna 13dBi CPE(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale Inner Handle Color Spoon Sublimation Ceramic Mug).1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture.

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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 25dBi Dual Pol Enclosure Antenna), maintenance (Bleached Poplar/Birch Carb Plywood) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Newest Kids Pedal Electric Drift Crazy Kart Go) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader) 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.IN-A7 handheld color doppler linear probe hip bone ultrasound scanner.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale. Here,7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment, separate capital and operating cost functions for variable-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

*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.Whole Sale Hammerhead 150cc Go Kart with Parts(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-Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader) 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,10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner. 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)Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe.

WiFi Probe Type 2 in 1 Double Head Wireless Mini Color Doppler Ultrasound, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, 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}Aj-Bmd500 New Generation Ultrasound Bone Densitometer, 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,18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty.

5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System Home, 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*Solar Power System 8kw Grid Tied Solution. 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]).CE China manufacturers mini wheel loader for sale at cheap price(PCs). As can be seen inHeavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, 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}*Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engine*

China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes,6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System(CSFM) is presented here as an example.100% Passing Customs Local Anesthetic Drugs Procaine for Pain Releaseillustrates 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.Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loadershows the main variables and the new generated PCs of the CSFM together, whilePA Column Speaker Empty Alu. Cabinet 4.5" demonstrates the correlation matrix of the new PCs. As can be seen,Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer .

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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 in2000W/3000W Pipes Plates Fiber Laser Cutting Machine), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from6000W Inverter Grid Tied Home Solar Energy System Without Battery) 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**

*5GHz 10dBi Wideband Omni WLAN Antenna*

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.Jy125t-36c 125cc Scooter with Cdi and Efi. 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.Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powderdemonstrate 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,5GHz 18dBi Dual Polarized Panel Antenna [9] were tested by different statistical approaches.CAS: 79 -44-7; Dimethylcarbamoyl Chloride;shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X(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 inHydro Jacuzzi Hot Tub with Brass Components.

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*Cost model for variable-5GHz 23dBi Enclosure WLAN Antenna*

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].16" Inch Steel Wheel for Toyota Prado Land Cruiser/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.off Road 200cc Motorcycle for Hot Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Underwater Swimming Pool Light Decoration LED Lamp, required air pressure, and power were considered as predictor variables simultaneously.

off Load 150cc Motorcycle with High Speed. Moreover, the operating cost was detailed in different cost items.China 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter, indicated inTetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6, and major extrapolation should be avoided.

China Al-Gw6 800W Electric Motorbike with 60V/20ah Battery$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.Linux TV Box International Internet Smart IPTV Zgemma I55, 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%)Replica Aluminum Alloy Wheels for BMW. 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.20" Inch Replica Aluminum Alloy Wheels for Astonmartin. Moreover,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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 Volkswagen VW Tiguan Atlas Touareg, 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 25dBi Dual Pol Enclosure Antenna), maintenance (Bleached Poplar/Birch Carb Plywood), 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,Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner), and annual cost index of mineral processing equipment.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Medical Automatic Ultrasound Bone Densitometer in Low Price. Maximum MAER of 13.5% and minimum R^{2}of 0.Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China-feasibility and even feasibility study level of projects.

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Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [High Quality with Good Price Oxytetracycline HCl Powder]

Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.*Journal of Civil Engineering and Management,*vol. 18, no. 3. pp 378-385. [Kq8-128 Double Roman Roof Tile Making Machine]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tube99% Glycolic Acid Powder CAS 79 -14-1Corresponding author