A Mixed Integer Linear Programming approach to minimize the number of late jobs with and without machine availability constraints
DETIENNE, Boris
Institut de Mathématiques de Bordeaux [IMB]
Reformulations based algorithms for Combinatorial Optimization [Realopt]
Institut de Mathématiques de Bordeaux [IMB]
Reformulations based algorithms for Combinatorial Optimization [Realopt]
DETIENNE, Boris
Institut de Mathématiques de Bordeaux [IMB]
Reformulations based algorithms for Combinatorial Optimization [Realopt]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Reformulations based algorithms for Combinatorial Optimization [Realopt]
Language
en
Article de revue
This item was published in
European Journal of Operational Research. 2014-06-16, vol. 235, n° 3, p. 540--552
Elsevier
English Abstract
This study investigates scheduling problems that occur when the weighted number of late jobs that are subject to deterministic machine availability constraints have to be minimized. These problems can be modeled as a more ...Read more >
This study investigates scheduling problems that occur when the weighted number of late jobs that are subject to deterministic machine availability constraints have to be minimized. These problems can be modeled as a more general job selection problem. Cases with resumable, non-resumable, and semi-resumable jobs as well as cases without availability constraints are investigated. The proposed efficient mixed integer linear programming approach includes possible improvements to the model, notably specialized lifted knapsack cover cuts. The method proves to be competitive compared with existing dedicated methods: numerical experiments on randomly generated instances show that all 350-job instances of the test bed are closed for the well-known problem $1|r_i|\sum w_iU_i$. For all investigated problem types, 98.4% of $500$-job instances can be solved to optimality within one hour.Read less <
English Keywords
Scheduling
Integer programming
Modeling
Availability constraints
Late jobs
Exact method
Origin
Hal imported