Multi-stage decision processes are considered, in notation which is an outgrowth of that introduced by Denardo [Denardo, E. 1967. Contraction mappings in the theory underlying dynamic programming. SIAM Rev. 9 165-177.]. Certain Markov decision processes, stochastic games, and risk-sensitive...

Models in which process quality and lot sizing interact have recently been developed. Lot sizes should be reduced to compensate for poor quality if no effective inspection is possible. This note introduces an inspection delay time, measured in units produced after an inspection is made until...