Dynamic control of a multiclass queue with setups and lost sales

Mark P. Van Oyen; Eungab Kim

Dynamic control of a multiclass queue with setups and lost sales

Mark P. Van Oyen
, Eungab Kim

Division of Business Administration

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

We consider scheduling a shared machine in a two-class make-to-stock system subject to switching costs and lost sales costs for lost jobs. If the switching costs are negligible, the optimal policy has a monotonic threshold type of switching curve provided that the service times are identical. For completely symmetric systems without set-ups, it is optimal to serve the longer queue. Using simple analytical models as approximations, we derive a heuristic scheduling policy. Numerical results demonstrate the effectiveness of our heuristic, which is typically within 10% of optimal.

Original language	English
Pages (from-to)	90-95
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - 1997
Event	Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA Duration: 10 Dec 1997 → 12 Dec 1997

Cite this

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title = "Dynamic control of a multiclass queue with setups and lost sales",

abstract = "We consider scheduling a shared machine in a two-class make-to-stock system subject to switching costs and lost sales costs for lost jobs. If the switching costs are negligible, the optimal policy has a monotonic threshold type of switching curve provided that the service times are identical. For completely symmetric systems without set-ups, it is optimal to serve the longer queue. Using simple analytical models as approximations, we derive a heuristic scheduling policy. Numerical results demonstrate the effectiveness of our heuristic, which is typically within 10\% of optimal.",

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AU - Van Oyen, Mark P.

AU - Kim, Eungab

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N2 - We consider scheduling a shared machine in a two-class make-to-stock system subject to switching costs and lost sales costs for lost jobs. If the switching costs are negligible, the optimal policy has a monotonic threshold type of switching curve provided that the service times are identical. For completely symmetric systems without set-ups, it is optimal to serve the longer queue. Using simple analytical models as approximations, we derive a heuristic scheduling policy. Numerical results demonstrate the effectiveness of our heuristic, which is typically within 10% of optimal.

AB - We consider scheduling a shared machine in a two-class make-to-stock system subject to switching costs and lost sales costs for lost jobs. If the switching costs are negligible, the optimal policy has a monotonic threshold type of switching curve provided that the service times are identical. For completely symmetric systems without set-ups, it is optimal to serve the longer queue. Using simple analytical models as approximations, we derive a heuristic scheduling policy. Numerical results demonstrate the effectiveness of our heuristic, which is typically within 10% of optimal.

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M3 - Conference article

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5)

Y2 - 10 December 1997 through 12 December 1997

ER -

Dynamic control of a multiclass queue with setups and lost sales

Abstract

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