In this paper, the problem of determining the optimum number and locations of banking automatic teller machines (ATMs) is considered. The objective is to minimize the total number of ATMs to cover all customer demands within a given geographical area. First, a mathematical model of this optimization problem is formulated. A novel heuristic algorithm with unique features is then developed to eff...

We coiisider a situation where two parties, Alice and Bob, share a common secret string arid would like to mutually check their knowledge of that string. We describe a simple and efficient protocol based on the exchange of quantum information to check mutual knowledge of a common string in such a way that honest parties will always succeed in convincing each other, while a dishonest party inter...