mesh network topology where V is the set of nodes and E is the set of links heterogeneous bandwidth capacity denoted by
primary and backup cables of each link set of candidate routes for each link which can be obtained by using software such as Makai plan These routes are of irregular shape considering the topography and geographical constraints of the submarine environment
strength The epicenter of a disaster is typically located near earthquake faults
probability that cable i breaks,if disater occrs and route is selected in link As mentioned above the probability of failure in case of a certain disastet can be computed by the approaches described in length of cable part damaged by disaster when route is selected in link and passes through as depicted in Fig
cruising distance from offshore to the damaged part for link for route and for disaster as de-picted in Fig
length of route in km
bandwidth capacity of cables in link e
expectation of time to repair cable in link
cost of cable deployment per km
cost of repair per km
shielding cost per km ln this context shielding refers to strengthening cables or providing protecting materials to re-sist physical attack from external aggressions
cruising cost per km
penalty per bandwidth per unit time due to breach of service level agreement which is a contract between service providers and users defining the level of service expected from the service providers and other users obligations
deployment and shielding budget
acceptable minimum distance separating primary and backup cables further than 200 km from offshore based on findings from Note that this distance marks the beginning of deep sea
a pre-computed value such that it is 1 if route is selected for link and passes through disaster zone oterwise it is
nearest distance in km between routes and for link and set of network cuts
set of links in expected downtime if route is selected for cable in link
subscribers cost per unit down time
Variable binary variable which is 1 if route is selected for cable in link otherwise