Measuring Performances of Multiple-Channel Queueing Systems with Imprecise Data: A Membership Function Approach

This paper proposes a mixed integer nonlinear programming (MINLP) approach to measure the system performances of multiple-channel queueing models with imprecise data. The main idea is to transform a multiple-channel queue with imprecise data to a family of conventional crisp multiple-channel queues...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:	The Journal of the Operational Research Society. - Taylor & Francis, Ltd.. - 59(2008), 3, Seite 381-387
1. Verfasser:	Chen, S-P (VerfasserIn)
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2008
Zugriff auf das übergeordnete Werk:	The Journal of the Operational Research Society
Schlagworte:	fuzzy theory queueing theory mixed integer nonlinear programming performance measures Mathematics Philosophy Applied sciences Behavioral sciences


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100	1		\|a Chen, S-P \|e verfasserin \|4 aut
245	1	0	\|a Measuring Performances of Multiple-Channel Queueing Systems with Imprecise Data: A Membership Function Approach
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520			\|a This paper proposes a mixed integer nonlinear programming (MINLP) approach to measure the system performances of multiple-channel queueing models with imprecise data. The main idea is to transform a multiple-channel queue with imprecise data to a family of conventional crisp multiple-channel queues by applying the α-cut approach in fuzzy theory. On the basis of α-cut representation and the extension principle, two pairs of parametric MINLP are formulated to describe the family of crisp multiple-channel queues, via which the membership functions of the performance measures are derived. To demonstrate the validity of the proposed procedure, a real-world case of multiple-channel fuzzy queue is investigated successfully. Since the performance measures are expressed by membership functions rather than by crisp values, the fuzziness of input information is completed conserved. Thus, the results obtained from the proposed approach can represent the system more accurately, and more information is provided for system design in practice.
540			\|a Copyright 2008 Operational Research Society Ltd
650		4	\|a fuzzy theory
650		4	\|a queueing theory
650		4	\|a mixed integer nonlinear programming
650		4	\|a performance measures
650		4	\|a Mathematics \|x Mathematical expressions \|x Mathematical functions \|x Indicator functions \|x Membership functions
650		4	\|a Philosophy \|x Logic \|x Logical topics \|x Formal logic \|x Mathematical logic \|x Mathematical set theory \|x Mathematical sets \|x Fuzzy sets
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Statistical models \|x Parametric models
650		4	\|a Applied sciences \|x Computer science \|x Computer engineering \|x Computer technology \|x Computer systems
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Decision theory \|x Operations research
650		4	\|a Philosophy \|x Logic \|x Metalogic \|x Logical truth \|x Truth value \|x Fuzziness
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Random variables \|x Stochastic processes \|x Queueing theory
650		4	\|a Philosophy \|x Logic \|x Logical topics \|x Formal logic \|x Mathematical logic \|x Mathematical set theory \|x Axiomatic set theory \|x Fuzzy set theory
650		4	\|a Mathematics \|x Pure mathematics \|x Discrete mathematics \|x Number theory \|x Numbers \|x Real numbers \|x Rational numbers \|x Integers
650		4	\|a Applied sciences \|x Research methods \|x Modeling
650		4	\|a Mathematics \|x Mathematical expressions \|x Mathematical functions \|x Indicator functions \|x Membership functions
650		4	\|a Philosophy \|x Logic \|x Logical topics \|x Formal logic \|x Mathematical logic \|x Mathematical set theory \|x Mathematical sets \|x Fuzzy sets
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Statistical models \|x Parametric models
650		4	\|a Applied sciences \|x Computer science \|x Computer engineering \|x Computer technology \|x Computer systems
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Decision theory \|x Operations research
650		4	\|a Philosophy \|x Logic \|x Metalogic \|x Logical truth \|x Truth value \|x Fuzziness
650		4	\|a Mathematics \|x Pure mathematics \|x Probability theory \|x Random variables \|x Stochastic processes \|x Queueing theory
650		4	\|a Philosophy \|x Logic \|x Logical topics \|x Formal logic \|x Mathematical logic \|x Mathematical set theory \|x Axiomatic set theory \|x Fuzzy set theory
650		4	\|a Mathematics \|x Pure mathematics \|x Discrete mathematics \|x Number theory \|x Numbers \|x Real numbers \|x Rational numbers \|x Integers
650		4	\|a Applied sciences \|x Research methods \|x Modeling
655		4	\|a research-article
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