Mean value analysis for polling systems in heavy traffic
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Iterative approximation of k-limited polling systems
Queueing Systems: Theory and Applications
Multiproduct Systems with Both Setup Times and Costs: Fluid Bounds and Schedules
Operations Research
Heavy traffic analysis of polling models by mean value analysis
Performance Evaluation
A state-dependent polling model with k-limited service
Probability in the Engineering and Informational Sciences
Branching-type polling systems with large setups
OR Spectrum
A periodic tabular policy for scheduling of a single stage production-inventory system
Computers and Industrial Engineering
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In this paper we address periodic base-stock policies for stochastic economic lot scheduling problems. These represent manufacturing settings in which multiple items compete for the availability of a common capacity source, in the presence of setup times and/or costs, incurred when switching between items, and in the presence of uncertainty regarding demand patterns, production, and setup times. Under periodic base-stock policies, items are produced according to a given periodic item-sequence. This paper derives effective heuristics for the design of a periodic item-sequence minimizing system-wide costs. This sequence is constructed based on desirable production frequencies for the items, obtained as the solution of lower bound mathematical programs. An extensive numerical study gauges the quality of the proposed heuristics.