A STUDY OF OPTIMAL DIMENSIONING OF QUEUES WITH RESPECT TO SOCIAL AND INDIVIDUAL PROFIT
In this paper, a system of GIG/l/K queue is considered. The optimal system's capacity (K), when the system is optimized with respect to the benefit of the entire system (social optimization) and when the criterion for optimality is individual gains (individual optimization), is determined and c...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1997-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31426_9b2291df163fcc43fd8b8795223d1760.pdf |
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| collection | DOAJ |
| description | In this paper, a system of GIG/l/K queue is considered. The optimal
system's capacity (K), when the system is optimized with respect to the benefit
of the entire system (social optimization) and when the criterion for optimality
is individual gains (individual optimization), is determined and compared. In
social optimization, the system capacity is obtained through maximization of
the system's profit. However, when individual gains is the criteria, the system
capacity is determined as a result of customers not joining the system because
they estimate that getting service from the system does not yield them any
profit and therefore leave the system. It is shown by simulation that irrespective
of the traffic intensity, p and arrival and service time distributions with
different failure and acceleration rates, the K obtained from social optimization
of the system is always equal or less than the K obtained from individual
optimization. Thus, the social optimization of the system not only maximizes
the system's profit but also preserves individual gains and prevents the
customer from leaving the system. In this paper, some other interesting results
are also reported. |
| format | Article |
| id | doaj-art-0301dcdbdc5a4678bb8300e124e1570b |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1997-06-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-0301dcdbdc5a4678bb8300e124e1570b2025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141997-06-018231426A STUDY OF OPTIMAL DIMENSIONING OF QUEUES WITH RESPECT TO SOCIAL AND INDIVIDUAL PROFITIn this paper, a system of GIG/l/K queue is considered. The optimal system's capacity (K), when the system is optimized with respect to the benefit of the entire system (social optimization) and when the criterion for optimality is individual gains (individual optimization), is determined and compared. In social optimization, the system capacity is obtained through maximization of the system's profit. However, when individual gains is the criteria, the system capacity is determined as a result of customers not joining the system because they estimate that getting service from the system does not yield them any profit and therefore leave the system. It is shown by simulation that irrespective of the traffic intensity, p and arrival and service time distributions with different failure and acceleration rates, the K obtained from social optimization of the system is always equal or less than the K obtained from individual optimization. Thus, the social optimization of the system not only maximizes the system's profit but also preserves individual gains and prevents the customer from leaving the system. In this paper, some other interesting results are also reported.https://jsciences.ut.ac.ir/article_31426_9b2291df163fcc43fd8b8795223d1760.pdf |
| spellingShingle | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT Journal of Sciences, Islamic Republic of Iran |
| title | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT |
| title_full | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT |
| title_fullStr | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT |
| title_full_unstemmed | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT |
| title_short | A STUDY OF OPTIMAL DIMENSIONING OF
QUEUES WITH RESPECT TO SOCIAL AND
INDIVIDUAL PROFIT |
| title_sort | study of optimal dimensioning of queues with respect to social and individual profit |
| url | https://jsciences.ut.ac.ir/article_31426_9b2291df163fcc43fd8b8795223d1760.pdf |