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Multiple Air Vehicles (AVs) to prosecute geographically dispersed targets isan important optimization problem. Associated multiple tasks viz., targetclassification, attack and verification are successively performed on eachtarget. The optimal minimum time performance of these tasks requirescooperation among vehicles such that critical time constraints are satisfiedi.e. target must be classified before it can be attacked and AV is sent totarget area to verify its destruction after target has been attacked. Here,optimal task scheduling problem from Indian Air Force is formulated as FuzzyMixed Integer Linear Programming (FMILP) problem. The solution assigns alltasks to vehicles and performs scheduling in an optimal manner includingscheduled staged departure times. Coupled tasks involving time and task orderconstraints are addressed. When AVs have sufficient endurance, existence ofoptimal solution is guaranteed. The solution developed can serve as aneffective heuristic for different categories of AV optimization problems.

Fuzzy Mixed Integer Linear Programming for Air Vehicles Operations Optimization