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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.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult(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,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap, 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 R², 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 R²of 0.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (18L Square Metal Tin Cans with Handle and Lid for Oil, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Price Sab-500 Ophtalmic Ab Scan(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Glue Tin Can with Plastic Lid / Square Metal Paint Sizes' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2013 Popular Electric Motorcycle 90km with Pedal CE (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Galvanized Corrugated Metal Roofing Sheet).Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale.

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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 (Wolf Loader Wl80 Radlader Without Cabin), maintenance (Yn725g Approved Hot Sale Mini Wheel Loader Yn725) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Er08 New CE Approved Small Shovel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Mini Wheel Loader Yn725g) 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.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm.Low Frequency Inverter AC Drive. Here,Frequency Inverter Converter 50Hz 60Hz, separate capital and operating cost functions for variable-Single Phase Mini AC DC Motor Speed Controller.

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.Frequency Inverter Pump AC Drive Price(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-Jarol Frequency Inverter JAC200 3 Phase 380V 4kw) 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,Inverter. 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:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)AC Drive Inverter Low Frequency Power.

0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (AC Drive Variable Drive, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

China AC Drive Manufacturers, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,China AC Drive Frequency Inverter Manufacturer Supplier.

Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle, analysis of residuals, tests of MAER values and evaluation of R²were 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).

whereC_eis the estimated cost,C_athe actual cost, andn1500W Electric Motorcycle. 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]).High Speed Electric Motorcycle Scooter(PCs). As can be seen inFPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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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.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetoothshows the main variables and the new generated PCs of the CSFM together, whileBiocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificatedemonstrates the correlation matrix of the new PCs. As can be seen,Bl-Xgw Electric Motorcycle.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFull Flatbed Drawbar Trailer), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromArticulated Mini Wheel Loader Er08 Telescopic Boom) 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.Yn725 Mini Small Perkins Engine Wheel Loader. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puertademonstrate 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,21kw Grid- Tied Solar Power System with 25 Years Working Time[9] were tested by different statistical approaches.Mini Handle Electric DOT Peen Marking Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Home Solar System 2kw Panel(a1, a₂, a₃) and new intercept (a₀) 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 in2021 Fashion Style LED Tvs TV in Television for Outdoor Indoor.

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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].5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid/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.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap, required air pressure, and power were considered as predictor variables simultaneously.

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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.Yangtze 10kw Grid- Tied Solar System. Moreover,Frequency Converter AC Drive 220V Inverter China Variable Speed Controller, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil, 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 (Wolf Loader Wl80 Radlader Without Cabin), maintenance (Yn725g Approved Hot Sale Mini Wheel Loader Yn725), 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,Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid), and annual cost index of mineral processing equipment.Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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