Formulation and analysis of some combat-logistics problems
formulationanaly00alza.pdf (14.90Mb)Abstract
Models are developed to study the readiness and
subsequent combat performance of an air-interceptor squadron
facing sudden attack. These models necessarily link combat
with logistics. The models are mainly analytical and not a
Monte Carlo simulation, and can be used to indicate the
optimal weapon system to be procured and to study the effect
of peacetime decisions on combat outcomes. The logistics
models use the matrix-geometric approach to study the
general multivariate repairman problem, with the possibility
of simultaneous component failures. A repairman assignment
problem is formulated and solved using a multivariate
continuous-time Markov decision process. Surprise scenarios
are analyzed and represented explicitly. Air-to-air combat
is modelled as a transient multivariate continuous-time
discrete-state Markov process. Diffusion theory is used to
approximate the solutions. The reason for using diffusions
is ease of interpretation and computational economy. A
comparison with simulation results shows that diffusion
yields good approximations. Improvement to the diffusion
approximation is provided by applying "large deviations"
procedures.
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