Heavy Traffic Analysis of the Dynamic Stochastic Inventory-Routing Problem
Transportation Science
Windows Scheduling Problems for Broadcast Systems
SIAM Journal on Computing
Dynamic bin packing of unit fractions items
Theoretical Computer Science
On-line windows scheduling of temporary items
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
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This paper studies the online inventory replenishment scheduling problem, in which orders from retailers arrive and depart at arbitrary times at one supplier and each order needs to be replenished at least once every constant periods. The supplier needs to assign each order to some vehicle such that the maximum number of vehicles ever used over all time is minimized, while each vehicle can replenish only one order per period. We present a Combined First Fit algorithm and improve the upper bound of the competitive ratio for this problem to be 3.0913 from 5. When offline algorithm is unrestricted, the Combined First Fit algorithm is proved to be 6.1826-competitive.