NEW STOCHASTIC ORDERINGS FOR MARKOV PROCESSES ON PARTIALLY ORDERED SPACES.

William A. Massey

doi:10.1109/cdc.1984.272060

NEW STOCHASTIC ORDERINGS FOR MARKOV PROCESSES ON PARTIALLY ORDERED SPACES.

William A. Massey

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

A unified theory of stochastic ordering for Markov processes on partially ordered state spaces is developed. When such a space is not totally ordered, it can induce a range of stochastic orderings, none of which is equivalent to sample path comparisons. Such alternative orderings can be quite useful when analyzing multidimensional stochastic models such as queuing methods.

Original language	English (US)
Pages (from-to)	551-555
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1984.272060
State	Published - 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.1984.272060

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title = "NEW STOCHASTIC ORDERINGS FOR MARKOV PROCESSES ON PARTIALLY ORDERED SPACES.",

abstract = "A unified theory of stochastic ordering for Markov processes on partially ordered state spaces is developed. When such a space is not totally ordered, it can induce a range of stochastic orderings, none of which is equivalent to sample path comparisons. Such alternative orderings can be quite useful when analyzing multidimensional stochastic models such as queuing methods.",

author = "Massey, \{William A.\}",

year = "1984",

doi = "10.1109/cdc.1984.272060",

language = "English (US)",

pages = "551--555",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - NEW STOCHASTIC ORDERINGS FOR MARKOV PROCESSES ON PARTIALLY ORDERED SPACES.

AU - Massey, William A.

PY - 1984

Y1 - 1984

N2 - A unified theory of stochastic ordering for Markov processes on partially ordered state spaces is developed. When such a space is not totally ordered, it can induce a range of stochastic orderings, none of which is equivalent to sample path comparisons. Such alternative orderings can be quite useful when analyzing multidimensional stochastic models such as queuing methods.

AB - A unified theory of stochastic ordering for Markov processes on partially ordered state spaces is developed. When such a space is not totally ordered, it can induce a range of stochastic orderings, none of which is equivalent to sample path comparisons. Such alternative orderings can be quite useful when analyzing multidimensional stochastic models such as queuing methods.

UR - https://www.scopus.com/pages/publications/0021641756

UR - https://www.scopus.com/pages/publications/0021641756#tab=citedBy

U2 - 10.1109/cdc.1984.272060

DO - 10.1109/cdc.1984.272060

M3 - Conference article

AN - SCOPUS:0021641756

SN - 0191-2216

SP - 551

EP - 555

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

NEW STOCHASTIC ORDERINGS FOR MARKOV PROCESSES ON PARTIALLY ORDERED SPACES.

Abstract

All Science Journal Classification (ASJC) codes

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