Title
A branch-and-price algorithm for the multi-activity multi-task shift scheduling problem
Abstract
The multi-activity multi-task shift scheduling problem requires the assignment of interruptible activities and uninterruptible tasks to a set of employees in order to satisfy a demand function. In this paper, we consider the personalized variant of the problem where the employees have different qualifications, preferences, and availabilities. We present a branch-and-price algorithm to solve this problem. The pricing subproblems in column generation are formulated with context-free grammars that are able to model complex rules in the construction of feasible shifts for an employee. We present results for a large set of instances inspired by real cases and show that this approach is sufficiently flexible to handle different classes of problems.
Year
DOI
Venue
2014
10.1007/s10951-013-0338-9
J. Scheduling
Keywords
Field
DocType
Multi-activity multi-task shift scheduling problem,Precedence constraints,Branch-and-price,Context-free grammar
Rule-based machine translation,Column generation,Mathematical optimization,Job shop scheduling,Context-free grammar,Computer science,Branch and price,Algorithm,Real-time computing,Nurse scheduling problem,Demand curve
Journal
Volume
Issue
ISSN
17
2
1094-6136
Citations 
PageRank 
References 
1
0.36
15
Authors
3
Name
Order
Citations
PageRank
Vincent Boyer19416.64
Bernard Gendron268849.92
Louis-Martin Rousseau388863.71