M. Herzberg et al., THE HOP-LIMIT APPROACH FOR SPARE-CAPACITY ASSIGNMENT IN SURVIVABLE NETWORKS, IEEE/ACM transactions on networking, 3(6), 1995, pp. 775-784
This paper presents a new approach for spare-capacity assignment in me
sh-type self healing networks which use reconfigurable network element
s as transmission hubs, Under this approach the process of reducing to
tal weighted cost of spare capacity is obtained by taking into account
all network's eligible restoration routes which do not violate a pred
etermined hop limit value, The process derived considers a given set o
f possible failure scenarios, which include single-link, multi-link an
d node failures, and is adaptive to accommodate several practical cons
iderations such as integrality of spare channels and modularity of tra
nsmission systems, This process is generally composed of two parts: Pa
rt 1 relies on a linear-programming formulation (Min-Max) from which a
lower bound solution of spare cost is found; Part 2 rounds-up the sol
ution of Part 1 to a feasible solution and uses a series of Max-Flow t
ests aimed at tightening the rounded-up assignment to a practical opti
mum, For small and moderate size networks a Mixed-Integer-Programming
formulation of Part 1 can be used to obtain optimal results, A network
, which has already been studied in the Literature, is analyzed to ill
ustrate the approach developed and to demonstrate, for cases where hop
limits can feasibly be kept low, its superiority over other algorithm
s published in this area.