Modeling fuzzy multi-period production planning and sourcing problem with credibility service levels.

*(English)*Zbl 1167.90004The authors consider a new class of multi-period production planning and sourcing problem with credibility service levels. Demands and costs are uncertain and assumed to be fuzzy variables with known possibility distributions. The objective of the problem is to minimize the total expected cost in the planning horizon. The cost includes the expected value of the sum of inventory holding and production cost. The authors propose an approximation approach to evaluating the objective function and suggest two algorithms to solve the formulated optimization problem. The effectiveness of the algorithms is compared on a numerical example.

Reviewer: Karel Zimmermann (Praha)

##### MSC:

90B30 | Production models |

90C70 | Fuzzy and other nonstochastic uncertainty mathematical programming |

##### Keywords:

fuzzy programming; production planning; credibility service level; approximation approach; particle swarm optimization
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\textit{Y.-F. Lan} et al., J. Comput. Appl. Math. 231, No. 1, 208--221 (2009; Zbl 1167.90004)

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