## A Rearrangeable Algorithm for the Construction of Delay-Constrained Dynamic Multicast Trees (1999)

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Venue: | IEEE/ACM Transactions on Networking |

Citations: | 13 - 0 self |

### BibTeX

@ARTICLE{Raghavan99arearrangeable,

author = {Sriram Raghavan and G. Manimaran and C. Siva and Ram Murthy},

title = {A Rearrangeable Algorithm for the Construction of Delay-Constrained Dynamic Multicast Trees},

journal = {IEEE/ACM Transactions on Networking},

year = {1999},

volume = {7},

pages = {514--529}

}

### Years of Citing Articles

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### Abstract

With the proliferation of multimedia group applications, the construction of multicast trees satisfying Quality of Service (QoS) requirements is becoming a problem of prime importance. Many of the multicast applications (such as video broadcasts and teleconferencing) require the network to support dynamic multicast sessions wherein the membership of the multicast group changes with time. In this paper, we propose and evaluate an algorithm called CRCDM (Controlled Rearrangement for Constrained Dynamic Multicasting) for on-line update of multicast trees to adjust to changes in group membership. The CRCDM algorithm is based on a concept called Quality Factor (QF) that represents the usefulness of a portion of the multicast tree to the overall multicast session. When the usefulness of a particular region of the tree drops below a threshold, a rearrangement technique is used to suitably modify the tree. Our algorithm aims to satisfy the delay-constraints of all current group members, at the same time minimizing the cost of the constructed tree. We compare the performance of our algorithm, by simulation, with that of an off-line Steiner heuristic; with ARIES [2], a recently published algorithm for on-line update of unconstrained trees; and with the algorithm proposed in [10] for on-line update of delay-constrained trees. The simulation results indicate that our algorithm provides excellent cost-competitiveness that is better than that provided by the algorithm described in [10], minimizes changes in the multicast tree after each update, and performs favorably even when compared with the unconstrained ARIES heuristic. Keywords: Multicast routing, On-line Steiner problem, Dynamic multicast groups, Rearrangement algorithm, QoS, Group communication This work was...

### Citations

10887 |
Computers and Intractability: A Guide to the Theory of NP-Completeness
- Garey, Johnson
- 1979
(Show Context)
Citation Context ...ion of nodes to the multicast group is known as the on-line multicast problem in networks. The graph-theoretic version of this problem, known as the on-line Steiner problem in networks is NP-complete =-=[9]-=- and has been addressed in [28] and [12]. In the extreme case, the on-line multicast problem can be solved as a sequence of static multicast problems, by rebuilding the tree at each stage using a stat... |

983 | Multicast routing in datagram internetworks and extended LANs
- Deering, Cheriton
- 1994
(Show Context)
Citation Context ...ively [3], [25], [17], [29], [11], [22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP =-=[7]-=-, PIM [6], and core-based trees [1]. These approaches are suitable for datagram environments such as the Internet in which the routes taken by multicast packets may vary and where minimization of algo... |

639 |
Routing of multipoint connections
- Waxman
- 1988
(Show Context)
Citation Context ...connections is being emphasized. Multicast can be loosely defined as the ability to logically connect a subset of nodes in the network. A summary of the multicast routing problem is given in [29] and =-=[26]-=-. A multicast group is a collection of nodes that are the destinations of the same sequence of messages. These messages may originate at one or more source nodes. Based on the nature of group membersh... |

349 | The Steiner Tree Problem - Hwang, Richards, et al. - 1992 |

247 |
A fast algorithm for Steiner trees
- Kou, Berman
- 1981
(Show Context)
Citation Context ...led as the NP-complete Steiner problem in networks [11] and [29]. Consequently, a number of good, inexpensive heuristics for the Steiner problem have been proposed and reviewed extensively [3], [25], =-=[17]-=-, [29], [11], [22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM [6], and cor... |

224 |
An approximate solution for the Steiner problem in graphs
- Takahashi, Matsuyama
- 1980
(Show Context)
Citation Context ...e modeled as the NP-complete Steiner problem in networks [11] and [29]. Consequently, a number of good, inexpensive heuristics for the Steiner problem have been proposed and reviewed extensively [3], =-=[25]-=-, [17], [29], [11], [22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM [6], a... |

189 | Multicast routing for multimedia communication
- Kompella, Pasquale, et al.
- 1993
(Show Context)
Citation Context ...und on the delay between the transmission and receipt of a message. The problem of constructing delay-constrained low-cost multicast trees for routing to static multicast groups has been addressed in =-=[15]-=-, [16], and [20]. In this paper, we address the problem of modifying such a delay-constrained multicast tree when new nodes enter or existing members leave the multicast group (i.e., the problem of co... |

150 |
Steiner problem in networks: A survey
- Winter
- 1987
(Show Context)
Citation Context ...ulticast connections is being emphasized. Multicast can be loosely defined as the ability to logically connect a subset of nodes in the network. A summary of the multicast routing problem is given in =-=[29]-=- and [26]. A multicast group is a collection of nodes that are the destinations of the same sequence of messages. These messages may originate at one or more source nodes. Based on the nature of group... |

147 | Multipoint communication: a survey of protocols, functions, and mechanisms - Diot, Dabbous, et al. - 1997 |

142 |
The Dynamic Steiner Tree Problem
- Imase, Waxman
- 1991
(Show Context)
Citation Context ...known as the on-line multicast problem in networks. The graph-theoretic version of this problem, known as the on-line Steiner problem in networks is NP-complete [9] and has been addressed in [28] and =-=[12]-=-. In the extreme case, the on-line multicast problem can be solved as a sequence of static multicast problems, by rebuilding the tree at each stage using a static Steiner heuristic. However, 1 cost of... |

115 | How bad is naive multicast routing
- Doar, Leslie
- 1993
(Show Context)
Citation Context ...dition In this section, we will describe the steps to be taken in order to accommodate addition of nodes to a multicast group. Studies on the unconstrained version of the on-line multicast problem in =-=[8]-=- and [27] have revealed that when nodes are added to a multicast group, good performance can be obtained by simply connecting the new member to the existing tree through a minimum cost path. Extending... |

88 | Routing to multiple destinations in computer networks - Kumar, Jaffe - 1983 |

72 | Multicast tree generation in networks with asymmetric links
- Ramanathan
- 1996
(Show Context)
Citation Context ...lete Steiner problem in networks [11] and [29]. Consequently, a number of good, inexpensive heuristics for the Steiner problem have been proposed and reviewed extensively [3], [25], [17], [29], [11], =-=[22]-=-. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM [6], and core-based trees [1].... |

52 | Aries: A rearrangeable inexpensive edge-based on-line steiner algorithm
- Bauer, Varma
- 1997
(Show Context)
Citation Context ...current group members, at the same time minimizing the cost of the constructed tree. We compare the performance of our algorithm, by simulation, with that of an off-line Steiner heuristic; with ARIES =-=[2]-=-, a recently published algorithm for on-line update of unconstrained trees; and with the algorithm proposed in [10] for on-line update of delay-constrained trees. The simulation results indicate that ... |

41 | On multicast path finding algorithms - Chow - 1991 |

39 |
Core-based trees (CBT): An architecture for scalable inter-domain multicast routing
- Ballardie, Francis, et al.
- 1993
(Show Context)
Citation Context ...[22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM [6], and core-based trees =-=[1]-=-. These approaches are suitable for datagram environments such as the Internet in which the routes taken by multicast packets may vary and where minimization of algorithm overhead takes precedence ove... |

39 | Distributed algorithms for multicast path setup in data networks - Bauer, Varma - 1996 |

29 |
Two distributed algorithms for the constrained Steiner tree problem
- Kompella, Pasquale, et al.
- 1993
(Show Context)
Citation Context ... the delay between the transmission and receipt of a message. The problem of constructing delay-constrained low-cost multicast trees for routing to static multicast groups has been addressed in [15], =-=[16]-=-, and [20]. In this paper, we address the problem of modifying such a delay-constrained multicast tree when new nodes enter or existing members leave the multicast group (i.e., the problem of construc... |

29 | Performance evaluation of multipoint routing algorithms - Waxman - 1993 |

26 |
Comparison of dynamic multicast routing algorithms for wide-area packet switched (Asynchronous Transfer Mode) networks
- Kadirire
- 1995
(Show Context)
Citation Context ...ovide multicast trees with lower average costs. 2.1 Existing Approaches-Unconstrained Case The on-line multicast problem was first presented by Waxman [26] and has since been addressed in [12], [28], =-=[14]-=-, and [2]. Waxman, in the first paper, divides on-line heuristics into two categories : those that allow reconfiguration (or rearrangement) of the tree and those which do not. In the latter case, as n... |

26 | Routing to multiple destinations in computer networks - Kadaba, Jaffe - 1983 |

22 |
et al., The PIM architecture for wide-area multicast routing
- Deering
- 1996
(Show Context)
Citation Context ..., [25], [17], [29], [11], [22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM =-=[6]-=-, and core-based trees [1]. These approaches are suitable for datagram environments such as the Internet in which the routes taken by multicast packets may vary and where minimization of algorithm ove... |

18 | An efficient multicast routing algorithm for delaysensitive applications with dynamic membership
- Hong, Lee, et al.
- 1998
(Show Context)
Citation Context ... our algorithm, by simulation, with that of an off-line Steiner heuristic; with ARIES [2], a recently published algorithm for on-line update of unconstrained trees; and with the algorithm proposed in =-=[10]-=- for on-line update of delay-constrained trees. The simulation results indicate that our algorithm provides excellent cost-competitiveness that is better than that provided by the algorithm described ... |

13 | Ram Murthy, “A rearrangeable algorithm for the construction of delay-constrained dynamic multicast trees - Sriram, Manimaran, et al. - 1999 |

12 |
Greedy algorithms for the on-line Steiner tree and generalized Steiner problems," in Algorithms and data structures
- Westbrook, Yan
- 1993
(Show Context)
Citation Context ...group is known as the on-line multicast problem in networks. The graph-theoretic version of this problem, known as the on-line Steiner problem in networks is NP-complete [9] and has been addressed in =-=[28]-=- and [12]. In the extreme case, the on-line multicast problem can be solved as a sequence of static multicast problems, by rebuilding the tree at each stage using a static Steiner heuristic. However, ... |

9 |
VTDM --- A dynamic multicast routing algorithm
- Lin, Lai
- 1998
(Show Context)
Citation Context ...e tree exceeds a threshold, then a simple rearrangement heuristic is used to recreate the tree. 2.1.5 Virtual Trunk Dynamic Multicast (VTDM) Algorithm The non-rearrangeable VTDM algorithm proposed in =-=[18]-=- is based on the following principle : \In the dynamic multicast routing problem, if a static multicast algorithm is applied to re-construct the tree for each request, some nodes and links may be freq... |

7 |
et al., "The PIM architecture for wide-area multicast routing
- Deering
- 1996
(Show Context)
Citation Context ..., [25], [17], [29], [11], [22]. There have also been attempts to create multicast trees without resorting to the Steiner-tree based model. Some important alternative approaches include DVMRP [7], PIM =-=[6]-=-, and core-based trees [1]. These approaches are suitable for datagram environments such as the Internet in which the routes taken by multicast packets may vary and where minimization of algorithm ove... |

6 | Ram Murthy. Algorithms for delay-constrained low-cost multicast tree construction - Sriram, Manimaran, et al. - 1998 |

5 |
Reeves and Yannis Viniotis, `A Distributed Algorithm for Delay-Constrained Unicast Routing
- Salama, Douglas
- 1997
(Show Context)
Citation Context ...o be 0. We assume the presence of a unicast algorithm for constructing a delay-constrained least cost paths between a pair of nodes. E cient algorithms for this purpose have been proposed in [19] and =-=[23]-=- 5 . Note that the Lagrangian-relaxation heuristic employed in LRA, also addresses the same problem and can therefore be used in conjunction with our algorithm. In the following sections, we will disc... |

4 |
S.Reeves, and Yannis Viniotis, "A distributed algorithm for delay-constrained unicast routing
- Salama, Douglas
- 1997
(Show Context)
Citation Context ...be 0. We assume the presence of a unicast algorithm for constructing a delay-constrained least cost paths between a pair of nodes. Efficient algorithms for this purpose have been proposed in [19] and =-=[23]-=- 5 . Note that the Lagrangian-relaxation heuristic employed in LRA, also addresses the same problem and can therefore be used in conjunction with our algorithm. In the following sections, we will disc... |

4 | Destination driven routing for low-cost multicast - Shaikh, Shin - 1997 |

4 | On multicast path nding algorithms - Chow - 1991 |

2 |
Ram Murthy, "Preferred-link based delay-constrained least cost routing in wide area networks
- Sriram, Manimaran, et al.
- 1998
(Show Context)
Citation Context ...shold to be 0. We assume the presence of a unicast algorithm for constructing a delay-constrained least cost paths between a pair of nodes. Efficient algorithms for this purpose have been proposed in =-=[19]-=- and [23] 5 . Note that the Lagrangian-relaxation heuristic employed in LRA, also addresses the same problem and can therefore be used in conjunction with our algorithm. In the following sections, we ... |

2 | Ram Murthy, "Algorithms for delay-constrained low-cost multicast tree construction - Sriram, Manimaran, et al. - 1998 |

2 |
Ram Murthy, “Preferred-link based delay-constrained least cost routing in wide area networks
- Sriram, Manimaran, et al.
- 1998
(Show Context)
Citation Context ...reshold to be 0. We assume the presence of a unicast algorithm for constructing a delay-constrained least cost paths between a pair of nodes. E cient algorithms for this purpose have been proposed in =-=[19]-=- and [23] 5 . Note that the Lagrangian-relaxation heuristic employed in LRA, also addresses the same problem and can therefore be used in conjunction with our algorithm. In the following sections, we ... |

1 |
S.Lai, "VTDM - A dynamic multicast routing algorithm
- Lin
- 1998
(Show Context)
Citation Context ...e tree exceeds a threshold, then a simple rearrangement heuristic is used to recreate the tree. 2.1.5 Virtual Trunk Dynamic Multicast (VTDM) Algorithm The non-rearrangeable VTDM algorithm proposed in =-=[18] is b-=-ased on the following principle : "In the dynamic multicast routing problem, if a static multicast algorithm is applied to re-construct the tree for each request, some nodes and links may be freq... |

1 | Ram Murthy, "A rearrangeable algorithm for the construction of delay-constrained dynamic multicast trees - Sriram, Manimaran, et al. - 1999 |