Modeling and analysis of uncertain time-critical tasking problems (UTCTP)

Authors
Gaver, Donald Paul
Jacobs, Patricia A.
Samorodnitsky, Gennady
Subjects
Scheduling (Management)
Time management
Queuing theory
Deadlines
Advisors
Date of Issue
2003
Date
2003
Publisher
Monterey, California. Naval Postgraduate School
Language
Abstract
We consider modeling and operational analysis of a generic asymmetric service-system situation in which (a) Red agents, potentially threatening, but possibly requiring assistance, arrive according to some partially known and possibly changing pattern in time and space; and (b) Reds are impatient: have effectively limited unknown deadlines or times of availability for Blue service, i.e., detection, classification, and attack in a military setting, or emergency assistance in other settings, such as medical care. We discuss various service options by Blue service agents and devise several approximations allowing one to compute efficiently proportions of tasks of different types that are successfully served or, more generally, if different rewards are associated with different types of tasks, the percentage of the possible reward gained. We suggest a heuristic policy for a Blue server to select the next task to perform and to decide how much time to allocate to that service. We discuss this and related policies for a number of specific examples.
Type
Technical Report
Description
Series/Report No
Department
Operations Research
Organization
Operations Research (OR)
Graduate School of Operational and Information Sciences (GSOIS)
Office of Naval Research
Identifiers
NPS Report Number
NPS-OR-03-005
Sponsors
Funder
Format
36 p.;28 cm.
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.