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A polynomial algorithm for a lot sizing problem with backlogging, outsourcing models and limited inventory
Abstract : This paper addresses a real-life production planning problem arising in a manufacturer of luxury goods. This problem can be modeled as a single item dynamic lot-sizing model with backlogging, outsourcing and inventory capacity. Setup cost is included in the production cost function, and the production level at each period is unbounded. The holding, backlogging and outsourcing cost functions are assumed to be linear. The backlogging level at each period is also limited. The goal is to satisfy all demands in the planning horizon at minimal total cost. We show that this problem can be solved in O(T4 log T) time where T is the number of periods in the planning horizon.
https://hal.archives-ouvertes.fr/hal-00735580
Contributor : Frédéric Davesne Connect in order to contact the contributor
Submitted on : Wednesday, September 26, 2012 - 9:53:21 AM
Last modification on : Tuesday, June 15, 2021 - 4:17:25 PM
Contributor : Frédéric Davesne Connect in order to contact the contributor
Submitted on : Wednesday, September 26, 2012 - 9:53:21 AM
Last modification on : Tuesday, June 15, 2021 - 4:17:25 PM