Servicing Impatient Tasks That Have Uncertain Outcomes
Abstract
Many service systems confront tasks of uncertain identity, with limited time for service; that is, the uncertain tasks have deadlines, or are behaviorally impatient. Examples occur in medical care (especially emergencies), telephone help systems, and in military operations. This paper presents modifications of the M/G/1 system to illustrate the impact of the above features. Imperfect task classification is modeled, as is imperfect service and error afflicted assessment: tasks can be processed, and reprocessed, either correctly or incorrectly depending upon classification, performance, and performance assessment skills. The impact of exponential deadlines, either behavioral or server controlled, is represented using both a modification of the Takacs Benes integro differential equation, and a simple and accurate fixed point approximation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1999
- Accession Number
- ADA370729
Entities
People
- Donald P. Gaver Jr.
- Patricia A. Jacobs
Organizations
- Naval Postgraduate School