In this paper, we propose a successive approximation heuristic which solves large stochastic mixed-integer programming problem with complete fixed recourse. We refer to this method as the Scenario Updating Method, since it solves the problem by considering only a subset of scenarios which is updated at each iteration. Only those scenarios which imply a significant change in the objective function are added. The algorithm is terminated when no such scenarios are available to enter in the current scenario subtree. Several rules to select scenarios are discussed. Bounds on heuristic solutions are computed by relaxing some of the non-anticipativity constraints. The proposed procedure is tested on a multistage stochastic batch-sizing problem

Lulli, G., Sen, S. (2006). A heuristic procedure for stochastic integer programs with complete recourse. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 171(3), 879-890 [10.1016/j.ejor.2004.09.012].

A heuristic procedure for stochastic integer programs with complete recourse

LULLI, GUGLIELMO;
2006

Abstract

In this paper, we propose a successive approximation heuristic which solves large stochastic mixed-integer programming problem with complete fixed recourse. We refer to this method as the Scenario Updating Method, since it solves the problem by considering only a subset of scenarios which is updated at each iteration. Only those scenarios which imply a significant change in the objective function are added. The algorithm is terminated when no such scenarios are available to enter in the current scenario subtree. Several rules to select scenarios are discussed. Bounds on heuristic solutions are computed by relaxing some of the non-anticipativity constraints. The proposed procedure is tested on a multistage stochastic batch-sizing problem
Articolo in rivista - Articolo scientifico
heuristic algorithm; successive approximation; stochastic integer programming
English
2006
171
3
879
890
none
Lulli, G., Sen, S. (2006). A heuristic procedure for stochastic integer programs with complete recourse. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 171(3), 879-890 [10.1016/j.ejor.2004.09.012].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/982
Citazioni
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 12
Social impact