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Note-A Node Elimination Procedure for Townsend's Algorithm for Solving the Single Machine Quadratic Penalty Function Scheduling Problem

Published: 01 June 1980 Publication History

Abstract

In this note, a node elimination procedure has been suggested in case the two sequences obtained by using Townsend's Townsend, W. 1978. The single machine problem with quadratic penalty function of completion times: A branch and bound solution. Management Sci.24 5 530-534. sufficient conditions for solving the single machine quadratic penalty function scheduling problem contain a subset Jr of r jobs in the first r positions. Numerical illustrations and computational experience has been given in the end.

Reference

[1]
TOWNSEND, W., "The Single Machine Problem with Quadratic Panalty Function of Completion Times: A Branch and Bound Solution," Management Sci., Vol. 24, No. 5 (1978), pp. 530-534.

Cited By

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  • (2017)The local---global conjecture for scheduling with non-linear costJournal of Scheduling10.1007/s10951-015-0466-520:3(239-254)Online publication date: 1-Jun-2017
  • (2015)On the Performance of Smith’s Rule in Single-Machine Scheduling with Nonlinear CostACM Transactions on Algorithms10.1145/262965211:4(1-30)Online publication date: 13-Apr-2015
  • (2012)An experimental and analytical study of order constraints for single machine scheduling with quadratic costProceedings of the Meeting on Algorithm Engineering & Expermiments10.5555/2790265.2790276(103-117)Online publication date: 16-Jan-2012
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Published In

cover image Management Science
Management Science  Volume 26, Issue 6
June 1980
109 pages

Publisher

INFORMS

Linthicum, MD, United States

Publication History

Published: 01 June 1980

Author Tags

  1. branch and bound
  2. production/scheduling
  3. programming: integer algorithms

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Cited By

View all
  • (2017)The local---global conjecture for scheduling with non-linear costJournal of Scheduling10.1007/s10951-015-0466-520:3(239-254)Online publication date: 1-Jun-2017
  • (2015)On the Performance of Smith’s Rule in Single-Machine Scheduling with Nonlinear CostACM Transactions on Algorithms10.1145/262965211:4(1-30)Online publication date: 13-Apr-2015
  • (2012)An experimental and analytical study of order constraints for single machine scheduling with quadratic costProceedings of the Meeting on Algorithm Engineering & Expermiments10.5555/2790265.2790276(103-117)Online publication date: 16-Jan-2012
  • (2004)Single machine scheduling with early and quadratic tardy penaltiesComputers and Industrial Engineering10.1016/j.cie.2004.01.01146:3(511-532)Online publication date: 1-Jun-2004
  • (1988)The Single Machine Problem with a Quadratic Cost Function of Completion TimesManagement Science10.5555/3217831.321783934:12(1480-1488)Online publication date: 1-Dec-1988
  • (1984)Note-On the Single Machine Scheduling Problem with Quadratic Penalty Function of Completion TimesManagement Science10.1287/mnsc.30.5.64430:5(644-647)Online publication date: 1-May-1984

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