## Abstract

With the convergence of multimedia applications and wireless communications, there is an urgent need for developing new scheduling algorithms to support real-time traffic with stringent delay requirements. However, distributed scheduling under delay constraints is not well understood and remains an under-explored area. A main goal of this study is to take some steps in this direction and explore the distributed opportunistic scheduling (DOS) with delay constraints. Consider a network with M links which contend for the channel using random access. Distributed scheduling in such a network requires joint channel probing and distributed scheduling. Using optimal stopping theory, we explore DOS for throughput maximization, under two different types of average delay constraints: 1) a network-wide constraint where the average delay should be no greater than α; or 2) individual user constraints where the average delay per user should be no greater than α_{m}, m = 1, . . . , M. Since the standard techniques for constrained optimal stopping problems are based on sample-path arguments and are not applicable here, we take a stochastic Lagrangian approach instead. We characterize the corresponding optimal scheduling policies accordingly, and show that they have a pure threshold structure, i.e. data transmission is scheduled if and only if the rate is above a threshold. Specifically, in the case with a network-wide delay constraint, somewhat surprisingly, there exists a sharp transition associated with a critical time constant, denoted by α*. If α is less than α*, the optimal rate threshold depends on α; otherwise it does not depends on α at all, and the optimal policy is the same as that in the unconstrained case. In the case with individual user delay constraints, we cast the threshold selection problem across links as a non-cooperative game, and establish the existence of Nash equilibria. Again we observe a sharp transition associated with critical time constants {α_{m}*}, in the sense that when α_{m} ≥ α_{m}* for all users, the Nash equilibrium becomes the same one as if there were no delay constraints.

Original language | English (US) |
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Title of host publication | 2010 Proceedings IEEE INFOCOM |

DOIs | |

State | Published - 2010 |

Event | IEEE INFOCOM 2010 - San Diego, CA, United States Duration: Mar 14 2010 → Mar 19 2010 |

### Publication series

Name | Proceedings - IEEE INFOCOM |
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ISSN (Print) | 0743-166X |

### Other

Other | IEEE INFOCOM 2010 |
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Country/Territory | United States |

City | San Diego, CA |

Period | 3/14/10 → 3/19/10 |

## ASJC Scopus subject areas

- General Computer Science
- Electrical and Electronic Engineering