Dynamic Scheduling of a Multi-Class Queue II: Discount Optimal Dynamic Policies

摘要

The author continues the study of the dynamic scheduling problem introduced and formulated in the paper's predecessor. The positive interest rate is considered fixed throughout. It is shown that there exists a static optimal policy, and the corresponding optimal priority ranking is exhibited. Broadening the formulation to allow inserted idel time, it is shown that the previous optimal policy need be changed only be refusing to serve (under any circumstances) a certain number of the lowest priority classes. (Author)