Layering strategies for creating exploitable structure in linear and integer programs
Mathematical Programming: Series A and B
Scenarios and policy aggregation in optimization under uncertainty
Mathematics of Operations Research
Applying the progressive hedging algorithm to stochastic generalized networks
Annals of Operations Research
Modern heuristic techniques for combinatorial problems
The vehicle routing problem
The vehicle routing problem
The Stochastic Inventory Routing Problem with Direct Deliveries
Transportation Science
Dynamic Programming Approximations for a Stochastic Inventory Routing Problem
Transportation Science
A Price-Directed Approach to Stochastic Inventory/Routing
Operations Research
A survey on metaheuristics for stochastic combinatorial optimization
Natural Computing: an international journal
Invited Review: Industrial aspects and literature survey: Combined inventory management and routing
Computers and Operations Research
Robust Inventory Routing Under Demand Uncertainty
Transportation Science
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The Stochastic Inventory Routing Problem is a challenging problem, combining inventory management and vehicle routing, as well as including stochastic customer demands. The problem can be described by a discounted, infinite horizon Markov Decision Problem, but it has been showed that this can be effectively approximated by solving a finite scenario tree based problem at each epoch. In this paper the use of the Progressive Hedging Algorithm for solving these scenario tree based problems is examined. The Progressive Hedging Algorithm can be suitable for large-scale problems, by giving an effective decomposition, but is not trivially implemented for non-convex problems. Attempting to improve the solution process, the standard algorithm is extended with locking mechanisms, dynamic multiple penalty parameters, and heuristic intermediate solutions. Extensive computational results are reported, giving further insights into the use of scenario trees as approximations of Markov Decision Problem formulations of the Stochastic Inventory Routing Problem.