Multi-item multi-period optimal production problem with variable preparation time in fuzzy stochastic environment

Mandal, Swagata; Maity, Anupam; Maity, Kalipada; Mondal, Shyamal Kumar; Maiti, Manoranjan

doi:10.1016/j.apm.2011.03.007

Cited by 18 publications

(2 citation statements)

References 30 publications

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“…16 Afterwards, FRVs have expanded its application in many fields, such as resource allocation, 17 supply chain management, 18 inventory control, 19 and production planning. 20 These studies have shown the effectiveness of FRVs in dealing with dual uncertain demand where fuzziness and randomness co-exist. Therefore, this article applies FRVs to deal with the two-fold uncertainty for material demands.…”

Section: Literature Reviewmentioning

confidence: 99%

A hybrid optimization approach for unequal-sized dynamic facility layout problems under fuzzy random demands

Zha

Guo

Huang

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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Dynamic facility layout problems involve devising the optimal layout for each different production period. This article studies unequal-area dynamic facility layout problems under fuzzy random environment to minimize the sum of the material handling costs and rearrangement costs. For a more general situation, a novel model of unequal-area dynamic facility layout problems is proposed on the basis of fuzzy random theory, in which uncertain demands are characterized by fuzzy random variables. Unequal-area dynamic facility layout problems are one of the non-deterministic polynomial-time hard problems. Therefore, a hybrid particle swarm optimization and simulated annealing algorithm is innovated to solve the proposed unequal-area dynamic facility layout problems model under fuzzy random environment, in which the shapes and areas of facilities are changed dynamically. Two facility-swapping methods and two local search methods help hybrid algorithm escape from local optima, allowing a more reliable solution. Moreover, a new shifting method is developed to prevent the spatial overlapping between adjacent facilities and save material handling costs. The performance of the hybrid algorithm is confirmed by some test problems available. Finally, the proposed method is extended to a facility layout planning of a new aircraft assembly shop floor. Computational results show that the efficiency and effectiveness of the proposed method, in sharp comparison with other approaches.

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Section: Literature Reviewmentioning

confidence: 99%

A hybrid optimization approach for unequal-sized dynamic facility layout problems under fuzzy random demands

Zha

Guo

Huang

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Kar [2005][2005] extended the model of Das, Roy and Maiti [2004][2004] by considering price as random variable. Maiti[2011][2011] developed production inventory model by considering one constraint in fuzzy environment and the other in fuzzy, as well as random environment. Janna et.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy stochastic inventory model for deteriorating item

Waliv¹,

Umap²

2017

YUGOSLAV J OPERATION

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A multi item profit maximization inventory model is developed in fuzzy stochastic environment. Demand is taken as Stock dependent demand. Available storage space is assumed to be imprecise and vague in nature. Impreciseness has been expressed by linear membership function. Purchasing cost and investment constraint are considered to be random and their randomness is expressed by normal distribution. The model has been formulated as a fuzzy stochastic programming problem and reduced to corresponding equivalent fuzzy linear programming problem. The model has been solved by using fuzzy linear programming technique and illustrated numerically.

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