Se. Bechtold et Lw. Jacobs, THE EQUIVALENCE OF GENERAL SET-COVERING AND IMPLICIT INTEGER PROGRAMMING FORMULATIONS FOR SHIFT SCHEDULING, Naval research logistics, 43(2), 1996, pp. 233-249
Citations number
25
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science","Engineering, Marine
In a recent article we demonstrated that implicit optimal modeling for
shift scheduling(P2) has inherent size and execution time advantages
over the general set-covering formulation for shift scheduling (Pi) [1
1, 13]. We postulated that the absence of extraordinary overlap (EO) w
as a requirement for the equivalence of PI and P2. We have defined EO
as the condition in which the earliest and latest starts for a break i
n one shift are earlier and later than the earliest and latest starts
for a break in any other shift(s). In this article, we prove that our
earlier postulate was accurate. Additionally, we discuss research exte
nsions and note other scheduling problems for which implicit modeling
may be appropriate. (C) 1996 John Wiley & Sons, Inc.