๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A continuous-review inventory system with lost sales and variable lead time

โœ Scribed by Esmail Mohebbi; Morton J.M. Posner

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
123 KB
Volume
45
Category
Article
ISSN
0894-069X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Using a system-point (SP) method of level crossings, we derive the stationary distribution of the inventory level (stock on hand) in a continuous-review inventory system with compound Poisson demand, Erlang as well as hyperexponentially distributed lead times, and lost sales. This distribution is then used to formulate long-run average cost functions with/without a service level constraint. Some numerical results are also presented, and compared with the Hadley and Whitin heuristic.

๐Ÿ“œ SIMILAR VOLUMES

A (Q,R) inventory model with lost sales
A (Q,R) inventory model with lost sales and erlang-distributed lead times
โœ David J. Buchanan; Robert F. Love ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 339 KB

The exact expression is derived for the average stationary cost of a (Q,R) inventory system with lost sales, unit Poisson demands, Erlang-distributed lead times, fixed order cost, fixed cost per unit lost sale, linear holding cost per unit time, and a maximum of one order outstanding. Explicit expre

A continuous review inventory model with
A continuous review inventory model with compound poisson demand process and stochastic lead time
โœ Yvo M. I. Dirickx; Danielle Koevoets ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 408 KB

## Abstract Using Markov renewal theory, we derive analytic expressions for the expected average cost associated with __(s, S)__ policies for a continuous review inventory model with a compound Poisson demand process and stochastic lead time, under the (restrictive) assumption that only one order c

A lost sales (S โ€” 1, S) perishable inven
A lost sales (S โ€” 1, S) perishable inventory system with renewal demand
โœ S. Kalpakam; K. P. Sapna ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 536 KB

This article analyzes a one-to-one ordering perishable inventory model with renewal demands and exponential lifetimes. The leadtimes are independently and exponentially distributed and the demands that occur during stock out periods are lost. Although the items are assumed to decay at a constant rat