Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A note on a due-date assignment on a two-machine flow-shop
Computers and Operations Research
Parallel Processor Scheduling Problems with Optimal Due Interval Determination
ENC '04 Proceedings of the Fifth Mexican International Conference in Computer Science
PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics
Soft Due Window Assignment and Scheduling on Parallel Machines
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Scheduling problems with two competing agents to minimized weighted earliness-tardiness
Computers and Operations Research
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This paper focuses on a minmax due-window assignment problem. The goal is to schedule the jobs and the due-window such that the highest cost among all jobs is minimized. The objective function contains four cost components: for earliness, tardiness, due-window starting time and due-window size. We present a polynomial time solution for the case of a single machine and for a two-machine flow-shop. The cases of parallel identical machines and uniform machines are NP-hard, and simple heuristics and lower bounds are introduced and tested numerically. Scope and purpose Contracts between suppliers and customers often contain a time interval (a due-window), such that goods delivered within this interval are considered to be on time and are not penalized. The due-window starting time and size are determined during sales negotiations with customers. A late and/or large due-window clearly makes the supplier less attractive, and hence the total cost function should increase in the due-window starting time and size. This paper focuses on due-window assignment problems on several classical machine settings: a single machine, a two-machine flow-shop and parallel identical and uniform machines.