A dynamic programming approach for the airport capacity allocation problem

2003 ◽  
Vol 14 (3) ◽  
pp. 235-249 ◽  
Author(s):  
P. Dell'Olmo
2018 ◽  
Vol 34 (3) ◽  
pp. 381-405
Author(s):  
Ingeborg A. Bikker ◽  
Martijn R.K. Mes ◽  
Antoine Sauré ◽  
Richard J. Boucherie

AbstractWe study an online capacity planning problem in which arriving patients require a series of appointments at several departments, within a certain access time target.This research is motivated by a study of rehabilitation planning practices at the Sint Maartenskliniek hospital (the Netherlands). In practice, the prescribed treatments and activities are typically booked starting in the first available week, leaving no space for urgent patients who require a series of appointments at a short notice. This leads to the rescheduling of appointments or long access times for urgent patients, which has a negative effect on the quality of care and on patient satisfaction.We propose an approach for allocating capacity to patients at the moment of their arrival, in such a way that the total number of requests booked within their corresponding access time targets is maximized. The model considers online decision making regarding multi-priority, multi-appointment, and multi-resource capacity allocation. We formulate this problem as a Markov decision process (MDP) that takes into account the current patient schedule, and future arrivals. We develop an approximate dynamic programming (ADP) algorithm to obtain approximate optimal capacity allocation policies. We provide insights into the characteristics of the optimal policies and evaluate the performance of the resulting policies using simulation.


2019 ◽  
Vol 10 (4) ◽  
pp. 100-112
Author(s):  
Mohit Goswami

In this research, a dynamic programming-based approach is deployed to model and solve the manpower allocation problem for warehouses. The authors specifically evolve the detailed model for M warehouses and N teams (available for allocation to these warehouses). Profitability is considered as a performance measure for the allocation problem. The warehouses and manpower-team are modelled as stages and states respectively within the dynamic programming problem structure. Owing to the rather abstract nature of such allocation problems possessing Markovian properties and having similarities with stage-gate type of a problem, dynamic programming approach is deployed. The study results in recommending key decisions in workforce allocation for organizations such as retailers operating multiple warehouses.


2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Marco Caserta ◽  
Stefan Voß

Given a reliability redundancy optimization problem in itsdiscreteversion, it is possible to transform such integer problem into a correspondingbinaryproblem in log-time. A simple discrete-binary transformation is presented in this paper. The proposed transformation is illustrated using an example taken from the reliability literature. An immediate implication is that a standard exact dynamic programming approach may easily solve instances to optimality that were usually only solved heuristically.


2021 ◽  
Author(s):  
Samantha L. Padilla ◽  
Lenis Saweda O. Liverpool‐Tasie ◽  
Robert J. Myers

Author(s):  
Shang-Chien Lin ◽  
Hsiang Hsu ◽  
Yi-Ting Lin ◽  
Chung-Wei Lin ◽  
Iris Hui-Ru Jiang ◽  
...  

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