What question did this study set out to answer?

To explore perishable inventory systems and their relationship with M/G/1+D queue processes, focusing on item demands and shelf life.

May 26, 2026Queueing Systems0 citationsOpen Access

M/G/1+D perishable inventory systems

OBOnno BoxmaEindhoven University of Technology OKOffer KellaHebrew University of Jerusalem DPDavid PerryHolon Institute of Technology

Key Points

To explore perishable inventory systems and their relationship with M/G/1+D queue processes, focusing on item demands and shelf life.
Analyzed demand arrivals modeled by a Poisson process.
Explored the relationship between virtual outdating time and inventory workload processes.
Considered two variations of perishable inventory: differing maximum lifetimes and gradual quality deterioration.
Established a decomposition property relating VOT and workload processes.
Identified efficiencies in managing inventory with varying quality and lifetimes.
Showed how quality deterioration over time impacts perishable inventory strategies.

Abstract

Abstract We consider a perishable inventory system (PIS) in which demands for items arrive according to a Poisson process and items according to a renewal process. Stored items have a deterministic maximum lifetime ‘on the shelf. ’ Exploiting a relation between the so-called virtual outdating time (VOT) process of this PIS and the workload process of the M/G/1+D M / G / 1 + D queue, we prove a decomposition property of each of these two processes. Subsequently we analyze two generalizations of the above PIS, where the quality of items on the shelf is not constant. In the first one, there are two types of items, with different maximum lifetimes. In the second, the quality of an item gradually deteriorates with age.

AIに質問

Bookmark

View Full Paper