New Functional Characterizations and Optimal Structural Results for Assemble-to-Order Generalized M -Systems
نویسندگان
چکیده
We consider an assemble-to-order generalized M -system with multiple components and multiple products, batch ordering of components, random lead times, and lost sales. We model the system as an infinite-horizon Markov decision process and seek an optimal control policy, which specifies when a batch of components should be produced and whether an arriving demand for each product should be satisfied. To facilitate our analysis, we introduce new functional characterizations for convexity and submodularity with respect to certain non-unitary directions. These help us characterize optimal inventory replenishment and allocation policies under a mild condition on component batch sizes via a new type of policy: lattice-dependent base-stock and lattice-dependent rationing.
منابع مشابه
New Functional Characterizations and Optimal Structural Results for Assemble-to-Order M-Systems
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