A RESOURCE CONSTRAINED PROJECT SCHEDULING PROBLEM WITH REATTEMPT AT FAILURE : A HEURISTIC APPROACH

This article considers a new type of scheduling problem for a research and development (R& D) project, which consists of more than one activity with uncertainty. When an activity is finished, we take a functional test to justify whether it is successful or not. If unsuccessful, the activity will be reattempted once more in one of the different combinations of resources and duration depending on failure type. In our problem, we assume that each activity may be performed in one of the various resource-duration modes. The objective of this paper is to propose a heuristic approach, including two dispatching rules which contain six policies, and find the best policy with which the quasi-minimum expected project duration of our problem can be obtained. A statistical procedure is used to choose the policy with the smallest expected project duration. Furthermore, we use a posterior analysis to evaluate the proposed algorithm with the selected policy.

[1]  Erik Demeulemeester,et al.  A Random Activity Network Generator , 1993, Oper. Res..

[2]  Edward W. Davis,et al.  An Algorithm for Optimal Project Scheduling under Multiple Resource Constraints , 1971 .

[3]  Andreas Drexl,et al.  Scheduling of Project Networks by Job Assignment , 1991 .

[4]  Andreas Drexl,et al.  Nonpreemptive multi-mode resource-constrained project scheduling , 1993 .

[5]  Roman Słowiński,et al.  Computational experience with a backtracking algorithm for solving a general class of precedence and resource-constrained scheduling problems , 1990 .

[6]  F. Brian Talbot,et al.  Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case , 1982 .

[7]  E. W. Davis,et al.  Multiple Resource–Constrained Scheduling Using Branch and Bound , 1978 .

[8]  James H. Patterson,et al.  An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems , 1978 .

[9]  J. M. Tamarit,et al.  Project scheduling with resource constraints: A branch and bound approach , 1987 .

[10]  Arno Sprecher,et al.  Resource-Constrained Project Scheduling: Exact Methods for the Multi-Mode Case , 1994 .

[11]  Elsayed A. Elsayed,et al.  Heuristics for resource-constrained scheduling† , 1986 .

[12]  R. Deal Simulation Modeling and Analysis (2nd Ed.) , 1994 .

[13]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[14]  Erik Demeulemeester,et al.  A branch-and-bound procedure for the multiple resource-constrained project scheduling problem , 1992 .