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...

We study a stochastic variant of the vehicle routing problem (VRP) arising in context domestic donor collection services. The we consider combines following attributes. Customers requesting services are variable, sense that they stochastic, but not restricted to predefined set. Furthermore, demand volumes also and observed upon visiting customers. objective is maximize expected served demands w...

We study the chance-constrained vehicle routing problem (CCVRP), a version of the vehicle routing problem (VRP) with stochastic demands, where a limit is imposed on the probability that each vehicle’s capacity is exceeded. A distinguishing feature of our proposed methodologies is that they allow correlation between random demands, whereas nearly all existing exact methods for the VRP with stoch...

This paper introduces a new class of stochastic volatility models which allows for stochastic volatility of volatility (SVV): Volatility modulated non–Gaussian Ornstein–Uhlenbeck (VMOU) processes. Various probabilistic properties of (integrated) VMOU processes are presented. Further we study the effect of the SVV on the leverage effect and on the presence of long memory. One of the key results ...

The vehicle routing problem (VRP) determines a delivery route that minimizes the cost. In this study, we consider stochastic VRP with uncertainty and variation in customer demand, which may cause shortage of products during delivery. case, vehicles have to return depot replenish products. We model sum additional cost caused by normal

Abstract We show that the realized GARCH model yields closed-form expression for both volatility index (VIX) and risk premium (VRP). The is driven by two shocks, a return shock shock, these are natural state variables in stochastic discount factor (SDF). endows exponentially affine SDF with compensation risk. This leads to dissimilar dynamic properties under physical risk-neutral measures can e...

E-commerce continues to grow throughout the world due people’s preference stay at home rather than going a brick-and-mortar retail store. COVID-19 has exacerbated this trend. Concurrently, crowd-shipping been gaining in popularity both increase e-commerce and current pressures COVID-19. We consider setting where platform can fulfill heterogeneous delivery requests from central depot with fleet ...

The Multi-Compartment Vehicle Routing Problem (MC-VRP) consists of designing transportation routes to satisfy the demands of a set of costumers for several products that because of incompatibility constraints must be loaded on independent vehicle compartments. Despite its wide practical applicability the MC-VRP has not received much attention in the literature, and the few existing methods assu...

Static and stochastic vehicle routing problems (SS-VRP) aim at modeling and solving real life problems by considering uncertainty on the data. In particular, customer data may not be known with certainty. Before the beginning of the day, probability distributions on customer data are used to compute a firststage solution that optimizes an expected cost. Customer data are revealed online, while ...