Name
Abstract | ||
|---|---|---|
. We study the problem of optimally controlling a multiserver queueing system. Customers arrive in a Poisson fashion and join
a single queue, served by N servers, S
1,S
2,… , S
N. The servers have different rates. The service times at each server are independent and exponentially distributed. The objective
is to determine the policy which minimizes the average number of customers in the system. We show that any optimal, nonpreemptive
policy is of threshold type, i.e., it assigns a customer to server S
i, if this server is the fastest server available and the number of customers in the queue is m
i or more. The threshold m
i may depend on the condition of other (slower) servers at the decision instant. In order to establish the results, we reformulate
the optimal control problem as a linear program and use a novel argument based on the structure of the constraint matrix. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/s001860100168 | Math. Meth. of OR |
Keywords | Field | DocType |
linear programming,queueing,markov processes,dynamic programming,markov process,exponential distribution,linear program | Dynamic programming,Mathematical optimization,Markov process,Optimal control,Computer science,Queue,Server,Queueing theory,Exponential distribution,Linear programming | Journal |
Volume | Issue | ISSN |
55 | 1 | 1432-2994 |
Citations | PageRank | References |
14 | 1.30 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hsing Paul Luh | 1 | 46 | 4.41 |
| viniotis ioannis | 2 | 44 | 6.23 |
| 陸行 | 3 | 14 | 1.64 |