The University of Southampton
University of Southampton Institutional Repository

Optimal design of uptime-guarantee contracts under IGFR valuations and convex costs

Optimal design of uptime-guarantee contracts under IGFR valuations and convex costs
Optimal design of uptime-guarantee contracts under IGFR valuations and convex costs
An uptime-guarantee contract commits a service provider to maintain the functionality of a customer’s equipment at least for certain fraction of working time during a contracted period. This paper addresses the optimal design of uptime-guarantee contracts for the service provider when the customer’s valuation of a contract with a given guaranteed uptime level has an Increasing Generalized Failure Rate (IGFR) distribution. We first consider the case where the service provider proposes only one contract and characterize the optimal contract in terms of price as well as guaranteed uptime level assuming that the service provider’s cost function is convex. In the second part, the case where the service provider offers a menu of contracts is considered. Given the guaranteed uptime levels of different contracts in the menu, we calculate the corresponding optimal prices. We also give the necessary and sufficient conditions for the existence of optimal contract menus with positive expected profits.
0377-2217
556-566
Hezarkhani, Behzad
ae3fc227-94dc-47bd-b52c-2fdf90277bef
Hezarkhani, Behzad
ae3fc227-94dc-47bd-b52c-2fdf90277bef

Hezarkhani, Behzad (2017) Optimal design of uptime-guarantee contracts under IGFR valuations and convex costs. European Journal of Operational Research, 256 (2), 556-566. (doi:10.1016/j.ejor.2016.06.032).

Record type: Article

Abstract

An uptime-guarantee contract commits a service provider to maintain the functionality of a customer’s equipment at least for certain fraction of working time during a contracted period. This paper addresses the optimal design of uptime-guarantee contracts for the service provider when the customer’s valuation of a contract with a given guaranteed uptime level has an Increasing Generalized Failure Rate (IGFR) distribution. We first consider the case where the service provider proposes only one contract and characterize the optimal contract in terms of price as well as guaranteed uptime level assuming that the service provider’s cost function is convex. In the second part, the case where the service provider offers a menu of contracts is considered. Given the guaranteed uptime levels of different contracts in the menu, we calculate the corresponding optimal prices. We also give the necessary and sufficient conditions for the existence of optimal contract menus with positive expected profits.

This record has no associated files available for download.

More information

Accepted/In Press date: 14 June 2016
Published date: 16 January 2017

Identifiers

Local EPrints ID: 479344
URI: http://eprints.soton.ac.uk/id/eprint/479344
ISSN: 0377-2217
PURE UUID: b4e3b0e8-364a-45ea-bddb-4d851b911652
ORCID for Behzad Hezarkhani: ORCID iD orcid.org/0000-0003-3439-3474

Catalogue record

Date deposited: 20 Jul 2023 17:30
Last modified: 17 Mar 2024 04:21

Export record

Altmetrics

Contributors

Author: Behzad Hezarkhani ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×