Paper Info
Title
Trip-Based Integer Linear Programming Model For Static Multi-Car Elevator Operation Problems
Abstract
In this paper, the authors propose an integer linear programming (ILP) model for static multi-car elevator operation problems. Here, "static" means that all information which make the behavior of the elevator system indeterministic is known before scheduling. The proposed model is based on the trip-based ILP model for static single-car elevator operation problems. A trip of an elevator is a one-directional movement of that elevator, which is labaled upward or downward. In the trip-based ILP model, an elevator trajectory is scheduled according to decision variables which determine allocations of trips to users of an elevator system. That model has such an advantage that the difficulty in solving ILP formulations resulted by that model does not depend on the length of the planning horizon nor the height of the considered building, thus is effective when elevator trajectories are simple. Moreover, that model has many variables relevant to elevators' positions. The proposed model is resulted by adding 3 constraints which are basically based on those variables and make it possible to prevent elevators in a same shaft from interfering. The first constraint simply imposes the first and last floors of an upper trip to be above those of its lower trip. The second constraint imagines the crossing point between upper and lower trips and imposes it ahead of or behind the lower trip according to their directions. The last constraint estimates future positions of elevators and imposes the upper trip to be above floors of passengers on the lower trip. The basic validity of the proposed model is displayed by solving 90 problem instances and examining elevator trajectories generated from them, then comparing objective function values of elevator trajectories on a multi-car elevator system with those on single-car elevator systems.
Year
DOI
Venue
2017
10.1587/transfun.E100.A.385
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
elevator operation problem, multi-car elevator system, integer linear programming, interference prevention
Mathematical optimization,Integer linear programming model,Branch and price,Elevator,Integer programming,Mathematics
Journal
Volume
Issue
ISSN
E100A
2
1745-1337
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Tsutomu Inamoto102.37
Yoshinobu Higami214027.24
Shin-ya Kobayashi333.77