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Title: | Extended Vacation Systems and the Universality of the M/G/1/K Blocking Formula |
Issue Date: | 9-Oct-2013 |
Publisher: | Massachusetts Institute of Technology, Operations Research Center |
Description: | A simple blocking formula B(K) = (1 - p)EK [1 - pEK]- 1 relates the probability of blocking for the finite capacity M/G/1/K to EK, the steady state occupancy tail probability of the same system with infinite capacity. The validity of this formula is demonstrated for M/G/1 vacation systems augmented by an idle state, an umbrella for a host of priority systems and vacation systems related to M/G/1. A class of occupancy level dependent vacation systems introduced are shown to require a variant of this blocking formula. |
URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
Other Identifiers: | http://hdl.handle.net/1721.1/5382 |
Appears in Collections: | MIT Items |
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