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A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost: An interval number approach

Main Author: PAVAN KUMAR
Format: Article eJournal
Terbitan: , 2015
Subjects:
inventory model
interval-valued number
weighted-sum method
Online Access: https://zenodo.org/record/3529319
ctrlnum 3529319
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format Journal:Article
Journal
Journal:eJournal
author PAVAN KUMAR
title A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost: An interval number approach
publishDate 2015
topic inventory model
interval-valued number
weighted-sum method
url https://zenodo.org/record/3529319
contents This paper proposes a differential equation inventory model that incorporates partial backlogging and deterioration. Holding cost and demand rate are time dependent. Shortages are allowed and assumed to be partially backlogged. Two versions are presented, the first one with deterministic values of the parameters and the second one taking into the account the interval uncertainty of the parameters. In the crisp case, Taylor’s series expansion is used, and graphically shown that the cost function is convex. While, in the case of intervals, the interval arithmetic is used and then the problem is transformed into a multi-objective non-linear optimization problem and an interval objective function. To solve this problem, the weighted-sum method is used. The proposed procedure is validated with the help of a numerical example. Sensitivity analysis on various parameters has also been carried out.
Received: September 13, 2014; accepted: May 18, 2015; available online: October 31, 2015
id IOS17403.3529319
institution Universitas PGRI Palembang
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library Perpustakaan Universitas PGRI Palembang
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collection Marga Life in South Sumatra in the Past: Puyang Concept Sacrificed and Demythosized
repository_id 17403
city KOTA PALEMBANG
province SUMATERA SELATAN
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first_indexed 2022-07-26T01:54:48Z
last_indexed 2022-07-26T01:54:48Z
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