clever or smart: Strategies for the online target date assignment problem

clever or smart: Strategies for the online target date assignment problem

In this paper, we consider the Online Target Date Assignment Problem (OnlineTDAP) with deferral time one and unsplittable requests for general downstream problems, where the downstream cost are nonnegative, additive and satisfy the triangle inequality. We show that the lower bound on the competitive ratio of any online algorithm for this problem is greater than 3/2 − ε. The first online algorit...

The Online Target Date Assignment Problem

Many online problems encountered in real-life involve a two-stage decision process: upon arrival of a new request, an irrevocable first-stage decision (the assignment of a specific resource to the request) must be made immediately, while in a second stage process, certain ”subinstances” (that is, the instances of all requests assigned to a particular resource) can be solved to optimality (offli...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Optimal discounts for the online assignment problem

We prove that, for two simple functions drlt, solving the online assignment problem with crl − drlt as the contribution for assigning resource r to task l at time t gives the optimal solution to the corresponding offline assignment problem (provided the optimal offline solution is unique). We call such functions drlt optimal discount functions.

The Weapon-Target Assignment Problem