STOCHASTIC ORDER RELATIONS AMONG GI/G/1 QUEUES WITH A COMMON TRAFFIC INTENSITY

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概要

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• A class of queues in which the numbers of customers in systems are stochastically larger (smaller) than the one in M/M/1 with a common traffic intensity is given. This fact ensures that M/M/1 queues give safety bounds for a large class of queues. The case of M/E_k/1 (k = 2,3,・・・) or MID/1 is treated in like manner. A new type of conservation law is derived to prove these results. Stochastic order relations among M/E_k/1 (or E_k/M/1) queues (k = 1,2,・・・) are also obtained.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Miyazawa Masakiyo

  Dept. Of Information Sciences Tokyo Institute Of Technology

関連論文

• STOCHASTIC ORDER RELATIONS AMONG GI/G/1 QUEUES WITH A COMMON TRAFFIC INTENSITY

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