Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management

The current trend of queuing theory development is toward more precision which requires higher mathematical manipulation. In this paper, we attempted to reverve the current trend toward simplification of queuing formulas such that it can be used in more practical purposes, especially in construction...

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Main Author: Teknomo K.
Format: Article
Language:English
Published: Petra Christian University 2012-01-01
Series:Civil Engineering Dimension
Subjects:
Online Access:http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18524
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author Teknomo K.
author_facet Teknomo K.
author_sort Teknomo K.
collection DOAJ
description The current trend of queuing theory development is toward more precision which requires higher mathematical manipulation. In this paper, we attempted to reverve the current trend toward simplification of queuing formulas such that it can be used in more practical purposes, especially in construction industry. Through numerical examples of two case studies on concreting and earth moving, how to model the construction activities as queuing systems is illustrated systematically. Through the numerical examples, it is shown that when the customer cost is much lower than the server cost, queuing system can be simplified only to incorporate the constraint equation. The queueing constraint equation is suggested to be used as queuing rule of thumb. The proposed rule of thumb is rather conservative in term of queuing performance compared to the standard stochastic queuing formula because it is assumed that all the customers arrive at once in the beginning of the service.
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spelling doaj.art-07e6db9c2a7b479faba7e028c40f60252022-12-22T03:10:42ZengPetra Christian UniversityCivil Engineering Dimension1410-95301979-570X2012-01-01143139146Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction ManagementTeknomo K.The current trend of queuing theory development is toward more precision which requires higher mathematical manipulation. In this paper, we attempted to reverve the current trend toward simplification of queuing formulas such that it can be used in more practical purposes, especially in construction industry. Through numerical examples of two case studies on concreting and earth moving, how to model the construction activities as queuing systems is illustrated systematically. Through the numerical examples, it is shown that when the customer cost is much lower than the server cost, queuing system can be simplified only to incorporate the constraint equation. The queueing constraint equation is suggested to be used as queuing rule of thumb. The proposed rule of thumb is rather conservative in term of queuing performance compared to the standard stochastic queuing formula because it is assumed that all the customers arrive at once in the beginning of the service.http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18524Rule of thumbconstraint equationconcretingearth moving.
spellingShingle Teknomo K.
Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
Civil Engineering Dimension
Rule of thumb
constraint equation
concreting
earth moving.
title Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
title_full Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
title_fullStr Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
title_full_unstemmed Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
title_short Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management
title_sort queuing rule of thumb based on m m s queuing theory with applications in construction management
topic Rule of thumb
constraint equation
concreting
earth moving.
url http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18524
work_keys_str_mv AT teknomok queuingruleofthumbbasedonmmsqueuingtheorywithapplicationsinconstructionmanagement