In this section, the problem of disruption in a single-stage
imperfect production–inventory system is described. The system
may face either a single or multiple disruptions during the production
up-time. To manage the system efficiently, it is necessary to
generate a recovery plan after the occurrence of each disruption.
If the production system faces a new disruption after the recovery
time window of the previously occurred disruption, then it is called
a single disruption that is relatively simple to solve. However, if the
system faces a new disruption within the recovery time window of
a previous disruption, then the case becomes more complex, as the
effect of both the previous and present disruptions must be taken
into consideration to develop the revised plan.
Fig. 1 presents an ideal single-stage batch production–inventory
system that produces one type of product. The product is produced
in batches and after completing each batch, there is a production