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## User mobility modeling and characterization of mobility patterns (1997)

Venue: | IEEE Journal on Selected Areas in Communications |

Citations: | 202 - 0 self |

### Citations

2028 |
Simulation Modeling and Analysis
- Law, Kelton
- 2000
(Show Context)
Citation Context ...ion of the users’ cell residence time. With this in mind, we wish to test the hypothesis tht the new call and handover call residence time data follow a particular probability distribution. Following =-=[36]-=- and [37], we proceed with the generalized gamma distribution which provides probability density functions of the form (11) where is the gamma function, defined as for any real and positive number The... |

953 |
Stochastic Processes.
- Ross
- 1996
(Show Context)
Citation Context ...umed to be independent and identically distributed with general distributions of and The Laplace transform of the handover call cell residence time can be defined as (32) From the excess life theorem =-=[38]-=- (or residual service time [39]), the Laplace transformation of the new call cell residence time can be obtained as the following: (33) The number of handovers experienced by a call depends on the cal... |

434 |
Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and nonprioritized handoff procedures",
- Hong, Rappaport
- 1986
(Show Context)
Citation Context ... on this subject reveals that only a few of the works have dealt with the related matter in detail, although the need for a comprehensive study is evident. Mobility models developed in the literature =-=[1]-=-, [2] assume constant speeds drawn from given probability distributions. Guérin [3] has developed a mobility model where the direction of a mobile is allowed to change at certain points in time. Tekin... |

387 |
Queueing Systems, Volume 1: Theory.
- Kleinrock
- 1975
(Show Context)
Citation Context ...tically distributed with general distributions of and The Laplace transform of the handover call cell residence time can be defined as (32) From the excess life theorem [38] (or residual service time =-=[39]-=-), the Laplace transformation of the new call cell residence time can be obtained as the following: (33) The number of handovers experienced by a call depends on the call holding time (which is expone... |

325 |
The Statistical Analysis of Series of Events.
- Cox, Lewis
- 1966
(Show Context)
Citation Context ...es whose distributions have to be found. The term “cell residence time” is also labeled as1244 IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 15, NO. 7, SEPTEMBER 1997 on the biased sampling =-=[35]-=-, it can be shown that otherwise where is the mean speed. Similarly, let be the pdf of the directions of all mobile stations, which is uniform in the range Based on the biased sampling, the pdf of the... |

132 |
Channel occupancy time distribution in a cellular radio system",
- Guerin
- 1987
(Show Context)
Citation Context ...atter in detail, although the need for a comprehensive study is evident. Mobility models developed in the literature [1], [2] assume constant speeds drawn from given probability distributions. Guérin =-=[3]-=- has developed a mobility model where the direction of a mobile is allowed to change at certain points in time. Tekinay [4] has proposed an approach based on the twodimensional random walk where the u... |

103 |
Queueing Priority Channel Assignment Strategies for PCS Hand-Off and Initial Access,”
- Lin, S
- 1994
(Show Context)
Citation Context ... be obtained using their biased sampling formula. While Sanchez Vargas [17] and Lue [18] have assumed cell residence time to be uniformly distributed over the call duration, Nanda [11] and Lin et al. =-=[19]-=- have taken a general distribution for the cell residence time. Malyan et al. [20] have 0733–8716/97$10.00 © 1997 IEEE1240 IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 15, NO. 7, SEPTEMBER ... |

47 | Handoff and Dynamic Channel Allocation Techniques in Mobile Cellular Networks”, - Re, Giambene - 1995 |

42 | The multiple-call hand-off problem in high-capacity cellular communications systems, - Rappaport - 1991 |

40 |
Microcellular Communications Systems with Hierarchical Macrocell Overlays: Traffic Performance models and analysis.
- Rappaport, Hu
- 1994
(Show Context)
Citation Context ...probability distribution, many authors dealing with the mobility problem have assumed, either explicitly or implicitly, the cell residence time to be an exponentially distributed random variable [21]–=-=[28]-=-. Another important parameter that appears in relation to cellular mobile systems is the channel holding (or occupancy) time. A knowledge of the channel holding time probability distribution function ... |

28 | Design and Control of Micro-cellular Networks with QOS Provisioning for Data Traffic - Naghshineh, Acampora - 1997 |

27 |
Teletraffic models for urban and suburban microcells: Cell sizes and handoff rates.
- Nanda
- 1993
(Show Context)
Citation Context ...the model given in [8] provides a good estimate of the boundary crossing rates for a Manhattan grid of sheets, other conditions lead to crossing rates larger or smaller than those of the model. Nanda =-=[11]-=- and Hong et al. [1] have analyzed the mean handover rate. Among the different mobility-related traffic parameters, one that has not received sufficient attention so far is the user’s cell residence t... |

25 |
Dynamic channel assignment in high-capacity mobile communications systems,”
- Cox, Reudink
- 1971
(Show Context)
Citation Context ...r mobile network and need not have the same statistical properties. Negative exponential distributions have been assumed to describe the channel holding time in modeling large and single-cell systems =-=[29]-=-–[31]. Guérin [3] has extended this by attempting to describe the channel holding time by the negative exponential distribution. The outline of this paper is as follows. A systematic tracking of the r... |

24 |
Blocking, hand-off and traffic performance for cellular communication systems with mixed platforms,
- Rappaport
- 1993
(Show Context)
Citation Context ...gly. (10) (b) Fig. 6. Cell residence time illustration for two different cases. (a) New call Tn: (b) Handover call Th : the mobile sojourn time, dwell time or block holding time by some authors [14], =-=[33]-=-, [34]. A. Simplified Case Let and denote the probability density of the new call and handover call cell residence times, respectively. These probability functions can be obtained by [1] (Fig. 6) In [... |

23 |
Rate of location area updates in cellular systems”
- Seskar, Maric
- 1992
(Show Context)
Citation Context ...cally formulated the cell boundary crossing rate. Pollini et al. [9] have used these results to calculate the amount of signaling information needed to deliver calls to mobile stations. Seskar et al. =-=[10]-=- have shown via simulation that while the model given in [8] provides a good estimate of the boundary crossing rates for a Manhattan grid of sheets, other conditions lead to crossing rates larger or s... |

22 | Prioritized resource assignment for mobile cellular communication systems with mixed services and platform types - Rappaport, Purzynski - 1996 |

19 |
Priority handoff analysis
- Xie, Kuek
- 1994
(Show Context)
Citation Context ...e et al. [12] have applied the procedure of [1] for the case of nonuniform speed distribution. However, they end up with a set of unsolved integral equations. Yeung and Nanda [13], [14], Xie and Kuek =-=[15]-=-, and Xie and Goodman [16] have shown that, contrary to the assumption made in [1], the speed and direction distributions of the in-cell mobiles are different from those of the cell-crossing mobiles. ... |

19 |
Packet reservation multiple access in a metropolitan microcellular radio environment
- Wong
- 1993
(Show Context)
Citation Context ...10) (b) Fig. 6. Cell residence time illustration for two different cases. (a) New call Tn: (b) Handover call Th : the mobile sojourn time, dwell time or block holding time by some authors [14], [33], =-=[34]-=-. A. Simplified Case Let and denote the probability density of the new call and handover call cell residence times, respectively. These probability functions can be obtained by [1] (Fig. 6) In [15] an... |

16 |
Network architecture and signalling for wireless personal communications
- Malyan, Ng, et al.
- 1993
(Show Context)
Citation Context ...e [18] have assumed cell residence time to be uniformly distributed over the call duration, Nanda [11] and Lin et al. [19] have taken a general distribution for the cell residence time. Malyan et al. =-=[20]-=- have 0733–8716/97$10.00 © 1997 IEEE1240 IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 15, NO. 7, SEPTEMBER 1997 Fig. 1. Trajectory of a randomly moving mobile in the cellular environment. p... |

16 |
Simulation: Statistical Foundations and Methodology.
- Mihram
- 1972
(Show Context)
Citation Context ...e users’ cell residence time. With this in mind, we wish to test the hypothesis tht the new call and handover call residence time data follow a particular probability distribution. Following [36] and =-=[37]-=-, we proceed with the generalized gamma distribution which provides probability density functions of the form (11) where is the gamma function, defined as for any real and positive number The evaluati... |

15 |
Mobility models and biasing sample problem
- Xie, Goodman
- 1993
(Show Context)
Citation Context ... the procedure of [1] for the case of nonuniform speed distribution. However, they end up with a set of unsolved integral equations. Yeung and Nanda [13], [14], Xie and Kuek [15], and Xie and Goodman =-=[16]-=- have shown that, contrary to the assumption made in [1], the speed and direction distributions of the in-cell mobiles are different from those of the cell-crossing mobiles. A more precise distributio... |

14 | Two-dimensional traffic models for cellular mobile systems,” IEEETransactions onCommunications, - Pavlidou - 1994 |

12 |
Performance bounds for power control supported DCA-algorithms in highway micro cellular radio systems
- Frodigh
- 1995
(Show Context)
Citation Context ...ified Brownian motion. Some of the works consider mobility models for specific application purposes, such as grid patterns for two-dimensional space [5] and highway patterns for one-dimensional space =-=[6]-=-. The mobility model proposed in this paper considers all of the possible mobility-related Manuscript received September 1, 1996; revised April 1, 1997. This work was supported by the Australian Telec... |

11 |
An approach to modelling subscriber mobility in cellular radio networks
- Morales-Andres, Villen-Altamirano
- 1987
(Show Context)
Citation Context ...eed). This model is used to obtain different mobility-related traffic parameters. Guérin [3] has shown that the channel holding time follows a negative exponential distribution. Morales-Andres et al. =-=[7]-=- and Thomas et al. [8] have used a fluid-flow model of mobility, and have analytically formulated the cell boundary crossing rate. Pollini et al. [9] have used these results to calculate the amount of... |

11 |
Optimal mobiledetermined micro-macro cell selection.
- Yeung, Nanda
- 1995
(Show Context)
Citation Context ...m that shown in [1]. Inoue et al. [12] have applied the procedure of [1] for the case of nonuniform speed distribution. However, they end up with a set of unsolved integral equations. Yeung and Nanda =-=[13]-=-, [14], Xie and Kuek [15], and Xie and Goodman [16] have shown that, contrary to the assumption made in [1], the speed and direction distributions of the in-cell mobiles are different from those of th... |

10 | Modelling and analysis of layered cellular mobile networks,” Teletraf- fic and Datatrafic in a Period of Change - Jolley, Warfield - 1991 |

8 |
Modelling and analysis of cellular networks with highly mobile heterogeneous traffic sources
- Tekinay
- 1994
(Show Context)
Citation Context ...2] assume constant speeds drawn from given probability distributions. Guérin [3] has developed a mobility model where the direction of a mobile is allowed to change at certain points in time. Tekinay =-=[4]-=- has proposed an approach based on the twodimensional random walk where the users are uniformly distributed in the area. This characteristizes the mobile movement as a modified Brownian motion. Some o... |

6 |
SignaUing system performance evaluation for personal communications
- Pollini, Goodman
- 1996
(Show Context)
Citation Context ...ve exponential distribution. Morales-Andres et al. [7] and Thomas et al. [8] have used a fluid-flow model of mobility, and have analytically formulated the cell boundary crossing rate. Pollini et al. =-=[9]-=- have used these results to calculate the amount of signaling information needed to deliver calls to mobile stations. Seskar et al. [10] have shown via simulation that while the model given in [8] pro... |

4 |
Performance analysis of microcellular mobile communication systems
- Inoue, Morikawa, et al.
- 1994
(Show Context)
Citation Context ... 0 and where is the hexagonal cell side. They also assume a constant speed with uniform distribution and conclude that the pdf of cell residence time is different from that shown in [1]. Inoue et al. =-=[12]-=- have applied the procedure of [1] for the case of nonuniform speed distribution. However, they end up with a set of unsolved integral equations. Yeung and Nanda [13], [14], Xie and Kuek [15], and Xie... |

3 | Tra c performance analysis for cellular communication system with mixed platform types and queued hando s - Purzynski, Rappaport - 1993 |

3 |
Traffic capacity of three types of common-user mobile radio communication systems
- Schiff
- 1970
(Show Context)
Citation Context ...ile network and need not have the same statistical properties. Negative exponential distributions have been assumed to describe the channel holding time in modeling large and single-cell systems [29]–=-=[31]-=-. Guérin [3] has extended this by attempting to describe the channel holding time by the negative exponential distribution. The outline of this paper is as follows. A systematic tracking of the random... |

2 |
Handoff effects in microcellular systems
- Luo, Everitt
- 1992
(Show Context)
Citation Context ... This characteristizes the mobile movement as a modified Brownian motion. Some of the works consider mobility models for specific application purposes, such as grid patterns for two-dimensional space =-=[5]-=- and highway patterns for one-dimensional space [6]. The mobility model proposed in this paper considers all of the possible mobility-related Manuscript received September 1, 1996; revised April 1, 19... |

2 |
Teletraffic performance of cellular mobile radio systems
- Vargas
- 1988
(Show Context)
Citation Context ...n-cell mobiles are different from those of the cell-crossing mobiles. A more precise distribution for the speed and direction can be obtained using their biased sampling formula. While Sanchez Vargas =-=[17]-=- and Lue [18] have assumed cell residence time to be uniformly distributed over the call duration, Nanda [11] and Lin et al. [19] have taken a general distribution for the cell residence time. Malyan ... |

2 |
Investigation of traffic performance in mobile cellular communication systems
- Luo
- 1991
(Show Context)
Citation Context ...s are different from those of the cell-crossing mobiles. A more precise distribution for the speed and direction can be obtained using their biased sampling formula. While Sanchez Vargas [17] and Lue =-=[18]-=- have assumed cell residence time to be uniformly distributed over the call duration, Nanda [11] and Lin et al. [19] have taken a general distribution for the cell residence time. Malyan et al. [20] h... |

2 |
Handoff analysis for CBWL schemes in cellular communications
- Jiang, Rappaport
- 1994
(Show Context)
Citation Context ...oven probability distribution, many authors dealing with the mobility problem have assumed, either explicitly or implicitly, the cell residence time to be an exponentially distributed random variable =-=[21]-=-–[28]. Another important parameter that appears in relation to cellular mobile systems is the channel holding (or occupancy) time. A knowledge of the channel holding time probability distribution func... |

2 |
A novel modeling technique for tracing mobile users in a cellular mobile communication system
- Zonoozi, Dassanayake
(Show Context)
Citation Context ...e in the cellular environment is shown in Fig. 1. Let denote the position of a mobile at an instant The coordinates of the mobile at any instant of time can be determined from the following relations =-=[32]-=-: (1) (2) where is the supplementary angle between the current direction of the mobile and the line connecting the previous position of the mobile to the base station, is the change in direction at ti... |

1 |
Influence of the movement ove the mobile station on the performance of a radio cellular network,” presented at the 3rd Nordic Seminar
- Thomas, Gilbert, et al.
- 1988
(Show Context)
Citation Context ...ed to obtain different mobility-related traffic parameters. Guérin [3] has shown that the channel holding time follows a negative exponential distribution. Morales-Andres et al. [7] and Thomas et al. =-=[8]-=- have used a fluid-flow model of mobility, and have analytically formulated the cell boundary crossing rate. Pollini et al. [9] have used these results to calculate the amount of signaling information... |

1 |
management in microcell/macrocell cellular radio systems
- “Channel
- 1996
(Show Context)
Citation Context ... shown in [1]. Inoue et al. [12] have applied the procedure of [1] for the case of nonuniform speed distribution. However, they end up with a set of unsolved integral equations. Yeung and Nanda [13], =-=[14]-=-, Xie and Kuek [15], and Xie and Goodman [16] have shown that, contrary to the assumption made in [1], the speed and direction distributions of the in-cell mobiles are different from those of the cell... |