Variable Neighborhood Search for Integrated Planning and Scheduling

In this paper, we consider the integrated planning and scheduling problem on parallel and identical machines. The problem is composed by two parts which are simultaneously solved in an integrated form. The first is the planning part, which consists in determining the jobs that should be processed in each period of time. The second is the scheduling part, which consists in assigning the jobs to the machines according to their release dates. We present new optimization approaches based on local search heuristics and metaheuristic methods based on variable neighborhood search using two neighborhood structures. Two different algorithms were implemented in the construction of initial solutions and combined with fifteen variants of the initial sequence of jobs. Computational experiments were performed with benchmark instances from the literature in order to assess the proposed methods.

[1]  Cláudio Alves,et al.  Fast Heuristics for Integrated Planning and Scheduling , 2015, ICCSA.

[2]  Ignacio E. Grossmann,et al.  Research Challenges in Planning and Scheduling for Enterprise-Wide Optimization of Process Industries , 2009 .

[3]  Michael Baldea,et al.  Integrated production scheduling and process control: A systematic review , 2014, Comput. Chem. Eng..

[4]  Edward G. Coffman,et al.  An Application of Bin-Packing to Multiprocessor Scheduling , 1978, SIAM J. Comput..

[5]  Pierre Hansen,et al.  Variable Neighborhood Search , 2018, Handbook of Heuristics.

[6]  Gerhard Wäscher,et al.  An improved typology of cutting and packing problems , 2007, Eur. J. Oper. Res..

[7]  Weiming Shen,et al.  Agent-based distributed manufacturing process planning and scheduling: a state-of-the-art survey , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[8]  David S. Johnson,et al.  `` Strong '' NP-Completeness Results: Motivation, Examples, and Implications , 1978, JACM.

[9]  Cláudio Alves,et al.  An exact approach based on a new pseudo-polynomial network flow model for integrated planning and scheduling , 2016, Comput. Oper. Res..

[10]  Donald E. Shobrys,et al.  Planning, scheduling and control systems: why cannot they work together , 2000 .

[11]  Tamás Kis,et al.  A cutting plane approach for integrated planning and scheduling , 2012, Comput. Oper. Res..

[12]  Chung-Yee Lee,et al.  Machine scheduling with job delivery coordination , 2004, Eur. J. Oper. Res..

[13]  H. Neil Geismar,et al.  The Integrated Production and Transportation Scheduling Problem for a Product with a Short Lifespan , 2008, INFORMS J. Comput..

[14]  Sheik Meeran,et al.  Deterministic job-shop scheduling: Past, present and future , 1999, Eur. J. Oper. Res..

[15]  Y. Sugimori,et al.  Toyota production system and Kanban system Materialization of just-in-time and respect-for-human system , 1977 .