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Inventory routing problem with non-stationary stochastic demands

Ehsan Yadollahi (UGent) , El-Houssaine Aghezzaf (UGent) , Joris Walraevens (UGent) and Birger Raa (UGent)
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Abstract
In this paper we solve Stochastic Periodic Inventory Routing Problem (SPIRP) when the accuracy of expected demand is changing among the periods. The variability of demands increases from period to period. This variability follows a certain rate of uncertainty. The uncertainty rate shows the change in accuracy level of demands during the planning horizon. To deal with the growing uncertainty, we apply a safety stock based SPIRP model with different levels of safety stock. To satisfy the service level in the whole planning horizon, the level of safety stock needs to be adjusted according to the demand's variability. In addition, the behavior of the solution model in long term planning horizons for retailers with different demand accuracy is taken into account. We develop the SPIRP model for one retailer with an average level of demand, and standard deviation for each period. The objective is to find an optimum level of safety stock to be allocated to the retailer, in order to achieve the expected level of service, and minimize the costs. We propose a model to deal with the uncertainty in demands, and evaluate the performance of the model based on the defined indicators and experimentally designed cases.
Keywords
Optimization Algorithms, Performance Evaluation and Optimization, Supply Chain and Logistics Engineering, Systems Modeling and Simulation, Systems Modeling and Simulation, Inventory Routing Problem, Stochastic Demand, Non-stationary, Optimization

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MLA
Yadollahi, Ehsan, et al. “Inventory Routing Problem with Non-Stationary Stochastic Demands.” Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, edited by Oleg Gusikhin et al., 2019, pp. 658–65, doi:10.5220/0007948506580665.
APA
Yadollahi, E., Aghezzaf, E.-H., Walraevens, J., & Raa, B. (2019). Inventory routing problem with non-stationary stochastic demands. In O. Gusikhin, K. Madani, & J. Zaytoon (Eds.), Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO (pp. 658–665). Prague, Czech Republic. https://doi.org/10.5220/0007948506580665
Chicago author-date
Yadollahi, Ehsan, El-Houssaine Aghezzaf, Joris Walraevens, and Birger Raa. 2019. “Inventory Routing Problem with Non-Stationary Stochastic Demands.” In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, edited by Oleg Gusikhin, Kurosh Madani, and Janan Zaytoon, 658–65. https://doi.org/10.5220/0007948506580665.
Chicago author-date (all authors)
Yadollahi, Ehsan, El-Houssaine Aghezzaf, Joris Walraevens, and Birger Raa. 2019. “Inventory Routing Problem with Non-Stationary Stochastic Demands.” In Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ed by. Oleg Gusikhin, Kurosh Madani, and Janan Zaytoon, 658–665. doi:10.5220/0007948506580665.
Vancouver
1.
Yadollahi E, Aghezzaf E-H, Walraevens J, Raa B. Inventory routing problem with non-stationary stochastic demands. In: Gusikhin O, Madani K, Zaytoon J, editors. Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO. 2019. p. 658–65.
IEEE
[1]
E. Yadollahi, E.-H. Aghezzaf, J. Walraevens, and B. Raa, “Inventory routing problem with non-stationary stochastic demands,” in Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, Prague, Czech Republic, 2019, pp. 658–665.
@inproceedings{8625108,
  abstract     = {In this paper we solve Stochastic Periodic Inventory Routing Problem (SPIRP) when the accuracy of expected demand is changing among the periods. The variability of demands increases from period to period. This variability follows a certain rate of uncertainty. The uncertainty rate shows the change in accuracy level of demands during the planning horizon. To deal with the growing uncertainty, we apply a safety stock based SPIRP model with different levels of safety stock. To satisfy the service level in the whole planning horizon, the level of safety stock needs to be adjusted according to the demand's variability. In addition, the behavior of the solution model in long term planning horizons for retailers with different demand accuracy is taken into account. We develop the SPIRP model for one retailer with an average level of demand, and standard deviation for each period. The objective is to find an optimum level of safety stock to be allocated to the retailer, in order to achieve the expected level of service, and minimize the costs. We propose a model to deal with the uncertainty in demands, and evaluate the performance of the model based on the defined indicators and experimentally designed cases.},
  author       = {Yadollahi, Ehsan and Aghezzaf, El-Houssaine and Walraevens, Joris and Raa, Birger},
  booktitle    = {Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
  editor       = {Gusikhin, Oleg and Madani, Kurosh and Zaytoon, Janan},
  isbn         = {9789897583803},
  keywords     = {Optimization Algorithms,Performance Evaluation and Optimization,Supply Chain and Logistics Engineering,Systems Modeling and Simulation,Systems Modeling and Simulation,Inventory Routing Problem,Stochastic Demand,Non-stationary,Optimization},
  language     = {eng},
  location     = {Prague, Czech Republic},
  pages        = {658--665},
  title        = {Inventory routing problem with non-stationary stochastic demands},
  url          = {http://dx.doi.org/10.5220/0007948506580665},
  year         = {2019},
}

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