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Optimal Entering Rules for a Customer with Wait Option at an M/G/1 Queue

Avishai Mandelbaum and Uri Yechiali
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Avishai Mandelbaum: Tel Aviv University, Israel
Uri Yechiali: Tel Aviv University, Israel

Management Science, 1983, vol. 29, issue 2, 174-187

Abstract: A "smart" customer arrives at an M/G/1 queue. While every other arrival joins the system unconditionally, our customer is allowed to choose among three alternatives: (i) he may Enter the queue and stay there until his service is completed, (ii) he may Leave the system right away, or (iii) he may Wait outside the queue. If he Enters or Leaves the system, his decision is final and no further actions are taken. If he chooses to Wait, he makes a new decision at the next service completion where he may, again, select one of the three options: Enter, Leave, or Wait. For a linear cost structure we show that for any n-period horizon (0

Keywords: queues; optimal joining rules (search for similar items in EconPapers)
Date: 1983
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Citations: View citations in EconPapers (4)

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