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Forward-compatible framework with critical-chain project management using a max-plus linear representation

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  • Hiroyuki Goto

Abstract

Focusing on projects with uncertain task-duration times under limited resources, we develop a scheduling framework using a max-plus linear (MPL) representation. The base methodology is referred to as critical-chain project management (CCPM), designed to achieve a short lead time and observe the estimated due date. Our recent achievement called CCPM-MPL is an approach to handle the CCPM framework using an MPL representation; therein, no method for resolving resource contention is provided. We thus improve the existing CCPM-MPL framework for which it becomes compliant and forward compatible with the original CCPM. The forward compatibility yields additional benefits; it is able to list and compare all potential schedules with the same processing sequence. It can also handle multiple-input and/or multiple-output projects in a unified fashion. The former would be useful in instances when we are allowed to deliver multiple products separately, the latter when one or more resource is unavailable until a certain time.

Suggested Citation

  • Hiroyuki Goto, 2017. "Forward-compatible framework with critical-chain project management using a max-plus linear representation," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 201-216, March.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:1:d:10.1007_s12597-016-0276-3
    DOI: 10.1007/s12597-016-0276-3
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    Cited by:

    1. Xiaokang Han & Wenzhou Yan & Ting Liu, 2022. "Critical chains and its randomness study for scheduling optimization," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 844-854, April.

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