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Multiproject Scheduling with Limited Resources: A Zero-One Programming Approach

Author

Listed:
  • A. Alan B. Pritsker

    (Virginia Polytechnic Institute, Blacksburg, Virginia (consultant to the RAND Corporation))

  • Lawrence J. Waiters

    (The RAND Corporation)

  • Philip M. Wolfe

    (Motorola, Inc., Phoenix, Arisona)

Abstract

A zero-one (0-1) linear programming formulation of multiproject and job-shop scheduling problems is presented that is more general and computationally tractable than other known formulations. It can accommodate a wide range of real-world situations including multiple resource constraints, due dates, job splitting, resource, substitutability, and concurrency and nonconcurrency of job performance requirements. Three possible objective functions are discussed; minimizing total throughput time for all projects: minimizing the time by which all projects are completed (i.e., minimizing makespan); and minimizing total lateness or lateness penalty for all projects.

Suggested Citation

  • A. Alan B. Pritsker & Lawrence J. Waiters & Philip M. Wolfe, 1969. "Multiproject Scheduling with Limited Resources: A Zero-One Programming Approach," Management Science, INFORMS, vol. 16(1), pages 93-108, September.
  • Handle: RePEc:inm:ormnsc:v:16:y:1969:i:1:p:93-108
    DOI: 10.1287/mnsc.16.1.93
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