Note on a Time Dependent Queue M/D/1 with Input Equal to Service Rate.

Lloyd, D. E.

Note on a Time Dependent Queue M/D/1 with Input Equal to Service Rate.

Active / Technical Report | Accession Number: ADA064848 |

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Abstract:

In this paper we consider the time-dependent behaviour of a single-server queue with Poisson input and constant service time, where the input rate equals the reciprocal of the service time. Formulae for the probabilities associated with different queue-lengths have been derived by an empirical method which included inspection of some numerical results. These formulae are now proved correct by induction. Author

Author(s):

Lloyd, D. E.

Author Organization(s):

ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)

Descriptive Note:

Technical memo.,

Pagination:

0017

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release

RECORD

Collection: TR

Identifying Numbers

Report Number(s):

RAE-TM-MATH-COMP-7807, DRIC-BR-65357

Monitor Series:

BR-65357

Subject Terms

Joint Capability Areas:

JCA_6.4.1_Secure Information Exchange; JCA_6.4_Information Assurance; JCA_6_Net Centric; JCA_1.3_Human Capital Management; JCA_1_Force Support

Communities of Interest:

Air Platforms

Descriptor(s):

*QUEUEING THEORY, INPUT, TIME DEPENDENCE, ARRIVAL, POISSON DENSITY FUNCTIONS, UNITED KINGDOM

Field(s)/Group(s):

Statistics and Probability

Keyword(s):

M D 1 queue

Report Date:

1978 Sep 01