Focuses on the algorithms of the minimum-delay spanning tree for the application-layer multicast,and proposes an improved BCT-H(balance compact tree-heuristic) algorithms based on strategy function.

This paper establishes the mathematical model of a supply chain system with one warehouse and n retailers who face deterministic demand,and offers a new delivery policy—single cycle integer policy,which extends the power-of-two(POT) policy into the integer-times policy.

Based on the general quantity-based policy,the long-term inventory levels and the definition of the range of the expected dispatching number are determined,thus,the replenishment and dispatching integrated optimization model of store-supermarkets is built.