A Fast Exact Algorithm for Airplane Refueling Problem

10/08/2019
by   Jianshu Li, et al.
0

We consider the airplane refueling problem, where we have a fleet of airplanes that can refuel each other. Each airplane is characterized by specific fuel tank volume and fuel consumption rate, and the goal is to find a drop out order of airplanes that last airplane in the air can reach as far as possible. This problem is equivalent to the scheduling problem 1||∑ w_j (- 1/C_j). Based on the dominance properties among jobs, we reveal some structural properties of the problem and propose a recursive algorithm to solve the problem exactly. The running time of our algorithm is directly related to the number of schedules that do not violate the dominance properties. An experimental study shows our algorithm outperforms state of the art exact algorithms and is efficient on larger instances.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/09/2021

An efficient branch-and-cut algorithm for the parallel drone scheduling traveling salesman problem

We propose an efficient branch-and-cut algorithm to exactly solve the pa...
research
01/13/2023

Quick Minimization of Tardy Processing Time on a Single Machine

We consider the problem of minimizing the total processing time of tardy...
research
09/11/2018

A new exact algorithm for solving single machine scheduling problems with learning effects and deteriorating jobs

In this paper, the single machine scheduling problem with deteriorating ...
research
10/02/2018

Near-Linear Approximation Algorithms for Scheduling Problems with Batch Setup Times

We investigate the scheduling of n jobs divided into c classes/batches o...
research
10/06/2021

Subquadratic-time algorithm for the diameter and all eccentricities on median graphs

On sparse graphs, Roditty and Williams [2013] proved that no O(n^2-ε)-ti...
research
05/07/2022

Dispersing Facilities on Planar Segment and Circle Amidst Repulsion

In this paper we consider the problem of locating k obnoxious facilities...
research
09/02/2023

A double-decomposition based parallel exact algorithm for the feedback length minimization problem

Product development projects usually contain many interrelated activitie...

Please sign up or login with your details

Forgot password? Click here to reset