Title
Control and scheduling in a two-station queueing network: Optimal policies and heuristics
Abstract
Consider a two-station queueing network with two types of jobs: type 1 jobs visit station 1 only, while type 2 jobs visit both stations in sequence. Each station has a single server. Arrival and service processes are modeled as counting processes with controllable stochastic intensities. The problem is to control the arrival and service processes, and in particular to schedule the server in station 1 among the two job types, in order to minimize a discounted cost function over an infinite time horizon. Using a stochastic intensity control approach, we establish the optimality of a specific stationary policy, and show that its value function satisfies certain properties, which lead to a switching-curve structure. We further classify the problem into six parametric cases. Based on the structural properties of the stationary policy, we establish the optimality of some simple priority rules for three of the six cases, and develop heuristic policies for the other three cases.
Year
DOI
Venue
1994
10.1007/BF01158766
Queueing Syst.
Keywords
Field
DocType
Dynamic scheduling,stochastic control,multiclass queueing networks
Heuristic,Mathematical optimization,Time horizon,Scheduling (computing),Computer science,Bellman equation,Real-time computing,Heuristics,Queueing theory,Dynamic priority scheduling,Stochastic control
Journal
Volume
Issue
ISSN
18
3-4
0257-0130
Citations 
PageRank 
References 
15
2.15
8
Authors
3
Name
Order
Citations
PageRank
Hong Chen131858.25
Ping Yang2203.20
David D. Yao3861140.51