Hall, Leung & Li have recently proposed a new model for human multitasking behavior. In their model, a primary job gets interruptions from all waiting jobs whenever it is being processed. Every time an interruption has been received, the worker switches from the primary job to the interrupting job. After part of the interrupting job has complete, the worker switches back to the primary job. Her...

An ideal algorithm for solving a particular problem always finds an optimal solution, finds such a solution for every possible instance, and finds it in polynomial time. When dealing with NP-hard problems, algorithms can only be expected to possess at most two out of these three desirable properties. All algorithms presented in this thesis are exact algorithms, which means that they always find...

The ridesharing problem is to share personal vehicles by individuals (participants) with similar itineraries. A trip in the ridesharing problem is a participant and his/her itinerary. To realize a trip is to deliver the participant to his/her destination by a vehicle satisfying the itinerary requirement. In this thesis, we focus on two optimization goals: minimize the number of vehicles and min...

This paper investigates the complexity of the min-max and min-max regret versions of the min s-t cut and min cut problems. Even if the underlying problems are closely related and both polynomial, the complexity of their min-max and min-max regret versions, for a constant number of scenarios, is quite contrasted since they are respectively strongly NP hard and polynomial. However, for a non cons...

We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict core stability is under consideration, the existence problem of a stable coalition structure is NP-hard in the strong sense. ...

Today we discuss two NP-hard problems, Max-Cut and minimum bisection. As these problems are NP-hard, unless the widely believed P 6= NP conjecture is false, these problem cannot be solved in polynomial time for every instance. These leaves us with a couple of alternatives: either we look for algorithms that approximate the solution, or consider algorithms that work for “typical” instances, but ...

The opinions expressed in this paper do not necessarily reflect the position of Summary We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict core stability is under consideration...

Abstract We will describe our ongoing work in theWe will describe our ongoing work in the eld of optimal scheduling for real time systems We are primarily concerned with optimal task allocation and job scheduling for parallel computer systems Many real time task allocation and job scheduling problems are proven to be NP hard Recently we proposed a random ized optimization framework for e cientl...

We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict core stability is under consideration, the existence problem of a stable coalition structure is NP-hard in the strong sense. ...