Technical Note—Delays in Single-Server Queues with Batch Input | Zendy

Paul J. Burke | Zendy

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Technical Note—Delays in Single-Server Queues with Batch Input

Author(s) -

Paul J. Burke

Publication year - 1975

Publication title -

operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.797

H-Index - 140

eISSN - 1526-5463

pISSN - 0030-364X

DOI - 10.1287/opre.23.4.830

Subject(s) - computer science , queue , queueing theory , connection (principal bundle) , constant (computer programming) , real time computing , queueing system , service (business) , mathematical optimization , computer network , mathematics , geometry , programming language , economy , economics

Standard works on queuing theory are in error in the calculation of the equilibrium delay distribution-and even of the average delay-in a single-server system with batch input, when the batches are not of constant size. This paper corrects the error, which occurs in connection with that portion of the delay of a customer due to the service times of other members of the same batch.

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