<p>In this paper, we study the problem of minimizing the maximum late work with the popular option of job rejection on a single machine. We provide two fundamental properties regarding an optimal schedule, prove that the problem is NP-hard, and suggest pseudo-polynomial dynamic programming (DP), establishing that the problem is ordinary NP-hard. We also provide an extensive numerical study. Next, we leverage the provided DP to introduce an algorithm that maps the Pareto-optimal frontier.</p>

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Minimizing maximum late work with optional job rejection on a single machine

  • Baruch Mor,
  • Gur Mosheiov

摘要

In this paper, we study the problem of minimizing the maximum late work with the popular option of job rejection on a single machine. We provide two fundamental properties regarding an optimal schedule, prove that the problem is NP-hard, and suggest pseudo-polynomial dynamic programming (DP), establishing that the problem is ordinary NP-hard. We also provide an extensive numerical study. Next, we leverage the provided DP to introduce an algorithm that maps the Pareto-optimal frontier.