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Abstract: It is well known that the most prominent characteristic of emergency systems is the limit of time. A scheme must be made in much shorter time, and the retrieval vehicle should be able to reach the emergency site in the earliest time according to the proposed scheme so that the emergency event is dealt with as early as possible. This paper deals with multi-depot problems in two cases: (1) When the duration or time needed by the retrieval vehicle arriving at the emergency site from each depot is a non-negative real number, a single-objective (or min-max) and a two-phase problems on the earliest-emergency-activity-start-time (EEAST) are considered. (2) When the duration is regarded as an interval number, we consider the problem of finding an optimal scheme meeting a given deadline t with maximum possibility (or truth value).

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