Optimal Control and Trunk Reservation in Loss Networks
- 1 April 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Probability in the Engineering and Informational Sciences
- Vol. 4 (2) , 203-242
- https://doi.org/10.1017/s0269964800001558
Abstract
Consider a stochastic loss network, where calls or customer types arrive and have to find a path through the network to a given destination, and where our aim is to maximize the gain (suitably defined) from the network. In general there will be a number of paths available, and when a call arrives the two questions to answer are first, should the call be accepted, and secondly, if it is accepted which route should it take? The answer to the first question is in some sense harder than the second, and all dynamic routing or control policies have some explicit or implicit mechanism for rejecting calls and so answer the question in some way.Keywords
This publication has 14 references indexed in Scilit:
- Control of Stochastic Loss Networks, with ApplicationsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1988
- Approximation in Large-Scale Circuit-Switched NetworksProbability in the Engineering and Informational Sciences, 1988
- Routing in circuit-switched networks: optimization, shadow prices and decentralizationAdvances in Applied Probability, 1988
- Blocking probabilities in large circuit-switched networksAdvances in Applied Probability, 1986
- Optimal control of admission to a quenching systemIEEE Transactions on Automatic Control, 1985
- Insensitivity of blocking probabilities in a circuit-switching networkJournal of Applied Probability, 1984
- End-to-End Blocking for Circuit-Switched Networks: Polynomial Algorithms for Some Special CasesIEEE Transactions on Communications, 1983
- Analysis of Circuit-Switched Networks Employing Originating-Office Control with Spill-ForwardIEEE Transactions on Communications, 1978
- Individual versus Social Optimization in Exponential Congestion SystemsOperations Research, 1977
- Applying a New Device in the Optimization of Exponential Queuing SystemsOperations Research, 1975