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For continuous time birth-death processes on {0,1,2,...}, the first passage time T+n from n to n + 1 is always a mixture of (n + 1) independent exponential random variables. Furthermore, the first passage time T0,n+1 from 0 to (n + 1) is always a sum of (n + 1) independent exponential random...
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We investigate a two-part tariff licensing contract that enables an incumbent innovator to license the technology for a new product to a potential rival, who may alternatively develop a compatible technology for an imperfectly substitutable product. We identify the optimal two-part tariff...
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Consider a data communication network owned and operated by a single organization. The network has an infinite number of small users and is managed by a system manager (SM) whose objective is to maximize the net value of the system as a whole. The objective of this paper is to study pricing...
Persistent link: https://www.econbiz.de/10009209008
Bottleneck analysis is a useful tool in capacity planning for centrally controlled network systems. However, under a decentralized network where individual users are allowed to select their own routes, straightforward application of bottleneck analysis does not necessarily yield an optimal...
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It is known that the first passage time of a birth death process from n to n+1 has a completely monotone density, however, the discrete analogue for a simple random walk does not hold. In this paper, first passage times of simple random walks from n to n+1 and from 0 to n are characterized. This...
Persistent link: https://www.econbiz.de/10008875779