Online production planning to maximize the number of on-time orders

Nicholas G. Hall (), Marc E. Posner () and Chris N. Potts ()
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Nicholas G. Hall: The Ohio State University
Marc E. Posner: The Ohio State University
Chris N. Potts: University of Southampton

Annals of Operations Research, 2021, vol. 298, issue 1, No 13, 249-269

Abstract: Abstract We consider a production planning problem with two planning periods. Detailed planning occurs in the first period, when complete information is known about a set of orders that are initially available. An additional set of orders becomes available at the start of the second planning period. The objective is to maximize the number of on-time orders. We derive an upper bound on the competitive ratio of any deterministic online algorithm, relative to the performance of an algorithm with perfect information about the second set of orders. This ratio depends on the relative lengths of the two planning periods. We also describe an efficient algorithm that delivers a solution which asymptotically achieves this upper bound ratio as the number of jobs becomes large.

Keywords: Online planning; Scheduling; Planning horizon; Competitive analysis (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-018-2928-6

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