Lattice networks: capacity limits, optimal routing, and queueing behavior

Optimal capacity assignment in general queueing networks

We consider the problem of how best to assign the service capacity in a queueing network in order to minimise the expected delay under a cost constraint. We study systems with several types of customers, general service time distributions, stochastic or deterministic routing, and a variety of service regimes. For such networks there are typically no analytical formulae for the waiting time dist...

Optimal Routing in Closed Queueing Networks with State Dependent Queues

Optimal routing in closed queueing networks with state dependent queues is the focus of this paper. We seek a methodology and algorithm to efficiently solve the routing probabilities in closed systems. These systems may include multi-server exponential and general service finite capacity state dependent models as well as multi-chain systems. The state dependent models included within this paper...

Optimal Routing in General Finite Multi-Server Queueing Networks

The design of general finite multi-server queueing networks is a challenging problem that arises in many real-life situations, including computer networks, manufacturing systems, and telecommunication networks. In this paper, we examine the optimal routing problem in arbitrary configured acyclic queueing networks. The performance of the finite queueing network is evaluated with a known approxim...

Optimal prices for finite capacity queueing systems

We prove a lower bound on the optimal price for a fairly large class of blocking systems with general arrival and service processes, determine optimal price expressions for M/M/1/m and M/GI/s/s systems, and investigate how optimal prices change with changes in the size of the waiting room and service

Heavy TraÆ Limits for Some Queueing Networks