TY - JOUR

T1 - A fluid EOQ model of perishable items with intermittent high and low demand rates

AU - Boxma, O.J.

AU - Perry, D.

AU - Zacks, S.

PY - 2015

Y1 - 2015

N2 - We consider a stochastic fluid EOQ-type model with demand rates operating in a two-state random environment. This environment alternates between exponentially distributed periods of high demand and generally distributed periods of low demand. The inventory level starts at some level q, and decreases linearly at rate ßH during the periods of high demand, and at rate ßL <ßH at periods of low demand. Refilling of the inventory level to level q is required when the first of two events takes place: Either the buffer level reaches zero, or the buffer content becomes outdated. If such an event occurs during a high demand period, an order is instantaneously placed; otherwise, ordering is postponed until the beginning of the next high demand period. We determine the steady-state distribution of the inventory level, as well as other quantities of interest such as the distribution of the time until a refill is required. Finally, for a given cost/revenue structure, we determine the long-run average profit, and we consider the problem of choosing q such that the profit is optimized. © 2015 INFORMS.
Keywords: Compound Poisson process; EOQ model; Laplace transform; Outdatings; Perishable inventories; Regenerative process; Unsatisfied demands

AB - We consider a stochastic fluid EOQ-type model with demand rates operating in a two-state random environment. This environment alternates between exponentially distributed periods of high demand and generally distributed periods of low demand. The inventory level starts at some level q, and decreases linearly at rate ßH during the periods of high demand, and at rate ßL <ßH at periods of low demand. Refilling of the inventory level to level q is required when the first of two events takes place: Either the buffer level reaches zero, or the buffer content becomes outdated. If such an event occurs during a high demand period, an order is instantaneously placed; otherwise, ordering is postponed until the beginning of the next high demand period. We determine the steady-state distribution of the inventory level, as well as other quantities of interest such as the distribution of the time until a refill is required. Finally, for a given cost/revenue structure, we determine the long-run average profit, and we consider the problem of choosing q such that the profit is optimized. © 2015 INFORMS.
Keywords: Compound Poisson process; EOQ model; Laplace transform; Outdatings; Perishable inventories; Regenerative process; Unsatisfied demands

U2 - 10.1287/moor.2014.0675

DO - 10.1287/moor.2014.0675

M3 - Article

VL - 40

SP - 390

EP - 402

JO - Mathematics of Operations Research

JF - Mathematics of Operations Research

SN - 0364-765X

IS - 2

ER -