Abstract
We consider a pricing in a single observable queue, where customers all have the same valuation, V , and the same waiting cost, v. It is known that earning rate is maximized in such a model when state-dependent pricing is used and an admissions threshold is deployed whereby arriving customers may not join the queue if the total number of customers exceeds this threshold. This paper is the first to explicitly derive the optimal threshold. We use our explicit formulation to obtain asymptotic results on how the threshold grows with V.
- Chen, H. and Frank, M. (2001). State dependent pricing with a queue. IIE Transactions, 33(10):847--860.Google ScholarCross Ref
- Corless, R., Gonnet, G., Hare, D., Jeffrey, D., and Knuth, D. (1996). On the Lambert W function. Advances in Computational Mathematics, 5(1):329--359.Google ScholarCross Ref
- Gupta, D. and Weerawat, W. (2006). Supplier-manufacturer coordination in capacitated two-stage supply chains. European Journal of Operational Research, 175(1):67--89.Google ScholarCross Ref
- Libman, L. and Orda, A. (2002). Optimal retrial and timeout strategies for accessing network resources. Networking, IEEE/ACM Transactions on, 10(4):551--564. Google ScholarDigital Library
- Naor, P. (1969). The regulation of queue size by levying tolls. Econometrica: journal of the Econometric Society, pages 15--24.Google Scholar
Index Terms
- Pricing and queueing
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