Limit Theorems for Generalized Single Server Queues. II. Cumulative Processes and Extreme Values.
Abstract
The paper is a sequel to a previous paper by the present author in which the limiting behavior of various stochastic processes arising from a generalized single server queueing system was studied. In this generalized system the first N customers of each busy period (N random) experience service times drawn from distributions u1(1),...,uN(1), respectively, while all remaining customers of the busy period, if any, are serviced according to the distribution u0(1). Furthermore, the first N arrivals to the system, if any, after the initiation of the busy period occur at intervals drawn from distributions u1(2),...,uN(2), respectively, while other arrivals, if any, during the busy period occur at intervals distributed as u0(2). This model is quite general.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1972
- Accession Number
- AD0757979
Entities
People
- Austin J. Lemoine
Organizations
- University of Texas at Austin