面向随机需求的时间容量弧路径问题的战略振荡模拟启发式算法

A strategic oscillation simheuristic for the Time Capacitated Arc Routing Problem with stochastic demands

Computers and Operations Research · 2021
被引 23
ABS 3

中文导读

研究了时间容量弧路径问题在随机需求下的扩展,提出一种战略振荡模拟启发式算法,旨在最小化服务所有客户的期望总时间,并通过数值实验验证了算法性能。

Abstract

The Time Capacitated Arc Routing Problem (TCARP) extends the classical Capacitated Arc Routing Problem by considering time-based capacities instead of traditional loading capacities. In the TCARP, the costs associated with traversing and servicing arcs, as well as the vehicle’s capacity, are measured in time units. The increasing use of electric vehicles and unmanned aerial vehicles , which use batteries of limited duration, illustrates the importance of time-capacitated routing problems. In this paper, we consider the TCARP with stochastic demands, i.e.: the actual demands on each edge are random variables which specific values are only revealed once the vehicle traverses the arc. This variability affects the service times, which also become random variables. The main goal then is to find a routing plan that minimizes the expected total time required to service all customers. Since a maximum time capacity applies on each route, a penalty time-based cost arises whenever a route cannot be completed within that limit. In this paper, a strategic oscillation simheuristic algorithm is proposed to solve this stochastic problem . The performance of our algorithm is tested in a series of numerical experiments that extend the classical deterministic instances into stochastic ones.

弧路径问题随机规划启发式算法运筹学车辆路径问题