ANALYSIS OF FUZZY QUEUES: PARAMETRIC PROGRAMMING APPROACH BASED ON RANDOMNESS - FUZZINESS CONSISTENCY PRINCIPLE
In this article, based on Zadeh’s extension principle we have apply the parametric programming approach to construct the membership functions of the performance measures when the interarrival time and the service time are fuzzy numbers based on the Baruah’s Randomness- Fuzziness Consistency Pr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
KD Mapro
2015-04-01
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| Series: | Journal of Process Management. New Technologies |
| Subjects: | |
| Online Access: | http://www.japmnt.com/images/Volume%203/Issue%202/1.%20ANALYSIS%20OF%20FUZZY%20QUEUES%20PARAMETRIC%20PROGRAMMING%20%20%20APPROACH%20BASED%20ON%20RANDOMNESS%20-%20FUZZINESS%20CONSISTENCY%20PRINCIPLE.pdf |
| Summary: | In this article, based on Zadeh’s extension
principle we have apply the parametric programming
approach to construct the membership functions of
the performance measures when the interarrival time
and the service time are fuzzy numbers based on the
Baruah’s Randomness- Fuzziness Consistency
Principle. The Randomness-Fuzziness Consistency
Principle leads to defining a normal law of fuzziness
using two different laws of randomness. In this
article, two fuzzy queues FM/M/1 and M/FM/1 has
been studied and constructed their membership
functions of the system characteristics based on the
aforesaid principle. The former represents a queue
with fuzzy exponential arrivals and exponential
service rate while the latter represents a queue with
exponential arrival rate and fuzzy exponential service
rate. |
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| ISSN: | 2334-735X 2334-7449 |