Optimal Solution of Vehicle Routing Problems with Fractional Objective Function

Solution of Fractional Optimal Control Problems with Noise Function Using the Bernstein Functions

This paper presents a numerical solution of a class of fractional optimal control problems (FOCPs) in a bounded domain having a noise function by the spectral Ritz method‎. ‎The Bernstein polynomials with the fractional operational matrix are applied to approximate the unknown functions‎. ‎By substituting these estimated functions into the cost functional‎, ‎an unconstrained nonlinear optimizat...

Enhancing Solution Similarity in Multi-Objective Vehicle Routing Problems with Different Demand Periods

Parallel Solution Methods for Vehicle Routing Problems

Parallel solution methods contribute to efficiently address large and complex combinatorial optimization problems, vehicle routing problems in particular. Parallel exact and heuristic methods for VRP variants are increasingly being proposed and the pace seem to increase in recent years. “New” strategies have been proposed and many of the best known solutions to classical formulations have been ...

STOCHASTIC VEHICLE ROUTING PROBLEMS WITH SIMULTANEOUS PICKUP AND DELIVERY SERVICES

The problem of designing a set of routes with minimum cost to serve a collection of customers with a fleet of vehicles is a fundamental challenge when the number of customers to be dropped or picked up is not known during the planning horizon. The purpose of this paper is to develop a vehicle routing Problem (VRP) model that addresses stochastic simultaneous pickup and delivery in the urban pub...

Solution of Time Constrained Vehicle Routing Problems using Multi-Objective Hybrid Genetic Algorithm

Vehicle Routing Problem with Time windows (VRPTW) is an example of scheduling in constrained environment. It is a well known NP hard combinatorial scheduling optimization problem in which minimum number of routes have to be determined to serve all the customers within their specified time windows. So far different analytic and heuristic approaches have been tried to solve such problems. In this...