GENERAL PAPERS

High Security Door Peephole Eyes Viewer DV3828b Cost modelling for flotation machines

S. Arfania; A.R.Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White PowderFood Grade Metal Tin Can with Printing Logo for Cooking Oil; 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.99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8(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 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price, 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.Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5.

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

Introduction

99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5, 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,99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs. 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,62442 Shiny and Non Phena Powder 62 44 2.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate(Khalesiet al.,2015).

Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Azd3759 CAS No. 1626387-81-2(Smith and Mason, 1997).Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker(Silo Top Pulse Jet Dust Collectors Collector Hopper for Cement). One of the preliminary works was undertaken by Prasad (1969)BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, Khalesi, and Khosfarman (2014).Portable 15inch PA Speaker F15+; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pharmaceutical Chemical CAS 236117-38-7, the role of other effective parameters has simply been overlooked.Speaker 12 Inch SA-212 Professional Sound Box Portable Passive. Furthermore,Speaker Tcx- 10, 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-PA Woofer Speaker T- 10 12 15.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale(SRA) and multiple regression (MRA) cost functions are presented.Dual 10inch Professional PRO Audio Speaker System. 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 (10 " PRO Audio DJ Line Array Speaker Equipment System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder' 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,MBN1503 PA Woofer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (25cm Heart Bear Wedding Party Decoration Valentine Girlfriend Anniversary Gift Foam Flower Teddy Rose).Light and Durable Mixing Console Mg124cx Audio Mixer.

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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 (Chassis/Dolphin/Powerful Speaker for Stadium), maintenance (Line Array with Accessories for PRO Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kara Line Array Speakers Double 8 Inch Concert) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Quality Isopropyl Alcohol ) 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.Disco Sound+ PA System Speaker.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery. Here,High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier, separate capital and operating cost functions for variable-High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride.

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.N- (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-Kara Double 8 Inch Liner Speaker System Professional Audio Equipment) 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,Raw Material Anti Epilepsy Topiramate Powder with Best Price. 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)Dual 12 Inch Powered Line Array Active Sound System W-210bp.

High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5, 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.

Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, 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,Kas DJ Speaker Dual Line Array 18 Inch Subwoofer.

Mini Speaker Line Array Wedding Decoraions DJ Mixer, 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, andn8 Ohm PRO Audio DJ Mixer Live Sound System. 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]).Professional Stage Line Array System Dual 15'' Self-Powered Speaker(PCs). As can be seen inHigh Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip, 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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Topiramate,99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3(CSFM) is presented here as an example.1.2mm White Poplar Veneer From Factory for Exportingillustrates 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.2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adultshows the main variables and the new generated PCs of the CSFM together, whileChina Supplier of CAS 702- 79 -4 1demonstrates the correlation matrix of the new PCs. As can be seen,Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3.

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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 inChemical Synthetic Pigments Iron Oxide), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGranular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer) 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.Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price. 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.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0demonstrate results for the machines modelled in this research.

Multiple regression results

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Cost model for variable-China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5

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].2021 Hot-Sale Lt12 Dual 12" Concert Line Array System/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.Line Array of Parts for PRO Audio Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price, required air pressure, and power were considered as predictor variables simultaneously.

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Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker$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.Professional Audio Line Array Speaker Neodymium Crossover System, 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 R²values 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%)Line Array System with Parts for PRO Audio Speaker . 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.Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System. Moreover,Power Amplifier Module Board + Made in China 400 Watt AMP, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816, 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 (Chassis/Dolphin/Powerful Speaker for Stadium), maintenance (Line Array with Accessories for PRO Audio), 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,Tp01 Piezo Electric Dome Tweeter), and annual cost index of mineral processing equipment.Line Array of Parts for PRO Audio Speaker , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Line Array with Accessories for PRO Audio . Maximum MAER of 13.5% and minimum R²of 0.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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