Continuous Time Representation Approach to Batch and Continuous Process Scheduling. 1. MINLP Formulation

1999 ◽  
Vol 38 (1) ◽  
pp. 197-203 ◽  
Author(s):  
L. Mockus ◽  
G. V. Reklaitis
Keyword(s):  
Continuous Time ◽  
Continuous Process ◽  
Process Scheduling ◽  
Time Representation

Markov processes associated with critical Galton-Watson processes with application to extinction probabilities

1976 ◽  
Vol 8 (2) ◽  
pp. 278-295 ◽  
Author(s):  
Michael Sze
Keyword(s):  
Continuous Time ◽  
Branching Process ◽  
Continuous Process ◽  
Regularly Varying Functions ◽  
Original Process ◽  
Additional Information ◽  
Embedding Technique ◽  
Extinction Probabilities ◽  
Watson Process ◽  
The Given

As an alternative to the embedding technique of T. E. Harris, S. Karlin and J. McGregor, we show that given a critical Galton–Watson process satisfying some mild assumptions, we can always construct a continuous-time Markov branching process having the same asymptotic behaviour as the given process. Thus, via the associated continuous process, additional information about the original process is obtained. We apply this technique to the study of extinction probabilities of a critical Galton–Watson process, and provide estimates for the extinction probabilities by regularly varying functions.

scholarly journals Continuous Time Representation and Modeling Framework for Analysis of Nonworker Activity-Travel Patterns: Tour and Episode Attributes

2003 ◽  
Vol 1831 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Rajul Misra ◽  
Chandra R. Bhat ◽  
Sivaramakrishnan Srinivasan
Keyword(s):  
San Francisco ◽  
Continuous Time ◽  
San Francisco Bay Area ◽  
Location Choice ◽  
Travel Patterns ◽  
Modeling Framework ◽  
Time Representation ◽  
Bay Area ◽  
Activity Duration ◽  
Travel Diary

A set of four econometric models is presented to examine the tour and episode-related attributes (specifically, mode choice, activity duration, travel times, and location choice) of the activity-travel patterns of non-workers, as a sequel to an earlier work by Bhat and Misra (2001), which presented a comprehensive continuous-time framework for representation and analysis of the activity-travel choices of nonworkers. Detailed descriptions of the first two components of the modeling framework related to the number and sequence of activity episodes are also presented. The proposed models using activity-travel data from the 1990 San Francisco Bay Area travel diary survey are estimated.

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