This paper considers a vehicle dispatching problem with competition. For Poisson arrival processes, three dispatching policies are considered, (i) a C-policy, consisting in sending a vehicle as soon as it is filled to capacity C, (ii) a T-policy, assuming an infinite capacity and consisting in...

The purpose of this article is to consider a two firms excess-loss reinsurance problem. The first firm is defined as the direct underwriter while the second firm is the reinsurer. As in the classical model of collective risk theory it is assumed that premium payments are received...

A dispatching problem with random availability of vehicles and options to send rented vehicles is considered. We assume passenger arrivals to be described by a pure-birth process. Such a problem is analytically attractive and is shown to have practical applications in vehicle dispatching models....

The main purpose of this study is to construct a suitable research and development (R&D) model which would facilitate the analysis of activity sequencing and resource allocation in R&D projects. In the proposed model, essential characteristics of R&D projects are incorporated. Namely, the...

A production system is subject to random failure. The system continuously accumulates damage through a "wear" process and the failure time depends on the accumulated damage in the system. Upon failure the system is replaced by a new identical one and the replacement cycles are repeated. A cost...