Periodic Scheduling with Service Constraints
Shoshana Anily () and
Julien Bramel ()
Additional contact information
Shoshana Anily: Faculty of Management, Tel-Aviv University, Tel-Aviv, Israel 69978
Julien Bramel: 406 Uris Hall, Columbia University, New York, NY 10027
Operations Research, 2000, vol. 48, issue 4, 635-645
Abstract:
We consider the problem of servicing a number of objects in a discrete time environment. In each period, we may select an object that will receive a service in the period. Each time an object is serviced, we incur a servicing cost dependent on the time since the object's last service. Problems of this type appear in many contexts, e.g., multiproduct lot-sizing, machine maintenance, and several problems in telecommunications. We assume that at most one object can be serviced in a given period. For the general problem with m objects, which is known to be (N-script)(P-script)-Hard, we describe properties of an optimal policy, and for the specific case of m = 2 objects, we determine an optimal policy.
Keywords: Inventory/production: policies; maintenance/replacement; Mathematics: Convexity; Analysis of algorithms (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:48:y:2000:i:4:p:635-645
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