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Exact Procedures for Non-Regular Measures of the Multi-Mode RCPSP

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  • Dayal Madhukar
  • Verma, Sanjay

Abstract

The multi-mode resource constrained project scheduling problem (MM RCPSP) is a generalization of the well-studied RCPSP. A literature review reveals applications of inexact heuristics or metaheuristics approaches for solving these problems, however, exact approaches are few and do not consider non-renewable resources, as well as, generalized cash inflows and outflows at every time period of an activity, as is the case in real World problem instances. We present two exact solution single-processor approaches: a breadth-first tree search procedure and a best-first monotone heuristic for solving these problem instances. The algorithms are thoroughly tested on problem instances using payment schedules generated for standard PSPLIB problem sets and results presented.

Suggested Citation

  • Dayal Madhukar & Verma, Sanjay, 2015. "Exact Procedures for Non-Regular Measures of the Multi-Mode RCPSP," IIMA Working Papers WP2015-03-06, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:13265
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    References listed on IDEAS

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    1. Dhavale N P & Verma, Sanjay & Bagchi Amitava, 2003. "Scheduling Partially Ordered Jobs Under Resource Constraints To Optimize Non-Regular Performance Measures," IIMA Working Papers WP2003-07-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    2. Mario Vanhoucke & Erik Demeulemeester & Willy Herroelen, 2001. "On Maximizing the Net Present Value of a Project Under Renewable Resource Constraints," Management Science, INFORMS, vol. 47(8), pages 1113-1121, August.
    3. Dayal Madhukar & Verma, Sanjay, 2014. "Breadth-first and Best-first Exact Procedures for Regular Measures of the Multi-mode RCPSP," IIMA Working Papers WP2014-10-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    4. Gündüz Ulusoy & Funda Sivrikaya-Şerifoğlu & Şule Şahin, 2001. "Four Payment Models for the Multi-Mode Resource Constrained Project Scheduling Problem with Discounted Cash Flows," Annals of Operations Research, Springer, vol. 102(1), pages 237-261, February.
    5. Oya Icmeli & S. Selcuk Erenguc, 1996. "A Branch and Bound Procedure for the Resource Constrained Project Scheduling Problem with Discounted Cash Flows," Management Science, INFORMS, vol. 42(10), pages 1395-1408, October.
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