Pricing surplus server capacity for mean waiting time sensitive customers

TitlePricing surplus server capacity for mean waiting time sensitive customers
Publication TypeJournal Article
Year of Publication2010
AuthorsSinha, S., N. Rangaraj, and N. Hemachandra
JournalEuropean Journal of Operational Research
Volume205
Pagination159-171
ISSN03772217
KeywordsAdmission price, Arrival process, Closed-form expression, Constrained optimization, Constrained optimization problems, Convex optimization, Customer satisfaction, Delay dependent, Demand function, Linear demand function, Mean waiting time, Non-convex constrained optimization, Non-linear, Optimal points, Pricing contracts, Priority queues, Quality control, Quality of service, Queueing model, Resource sharing, Sales, Server capacity, Servers, Service levels, Telecommunication services, Unit prices
Abstract

We consider a queueing model wherein the resource is shared by two different classes of customers, primary (existing) and secondary (new), under a service level based pricing contract. This contract between secondary class customers and resource manager specifies unit admission price and quality of service (QoS) offered. We assume that the secondary customers’ Poisson arrival rate depends linearly on unit price and service level offered while the server uses a delay dependent priority queue management scheme. We analyze the joint problem of optimal pricing and operation of the resource with the inclusion of secondary class customers, while continuing to offer a pre-specified QoS to primary class customers. Our analysis leads to an algorithm that finds, in closed form expressions, the optimal points of the resulting non-convex constrained optimization problem. We also study in detail the structure and the non-linear nature of these optimal pricing and operating decisions. © 2010 Elsevier B.V. All rights reserved.

URLhttp://www.scopus.com/inward/record.url?eid=2-s2.0-75849162278&partnerID=40&md5=2d1a124d930e80df0e5d83137d48c788
DOI10.1016/j.ejor.2009.12.023