Optimal feedback production planning in a stochastic two-machine flowshop
type: Item
instance of: scholarly article
title: Optimal feedback production planning in a stochastic two-machine flowshop
zbMATH Open document ID: 0826.90061
DOI: 10.1016/0377-2217(94)90269-0
author: V. Pereyra
published in: European Journal of Operational Research
publication date: 1994-07-21T00:00:00Z
review text: From the abstract by the authors: ``We consider a production planning problem in a two-machine flowshop subject to breakdown and repair of machines and subject to non-negativity constraints on work-in-process. The machine capacities and demand processes are assumed to be finite state Markov chains. The problem is to choose the rate of production over time so as to minimize the expected discounted cost of production and inventory/backlog over an infinite horizon. The problem is formulated as a stochastic dynamic programming problem. It is shown that the value function of the problem is locally Lipschitz and is a viscosity solution to the dynamic programming equation together with certain boundary conditions''.
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 90B35
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 609649
zbMATH Keywords: production planning
zbMATH Keywords: two-machine flowshop
zbMATH Keywords: breakdown
zbMATH Keywords: repair
zbMATH Keywords: finite state Markov chains
zbMATH Keywords: infinite horizon
zbMATH Keywords: stochastic dynamic programming
reviewed by: Ilkka Virtanen
MaRDI profile type: Publication
full work available at URL: 0377-2217(94)90269-0
OpenAlex ID: W1965599113
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description: scientific article; zbMATH DE number 609649