Multiple replenishment orders in a continuous-review inventory system with lost sales

Authors:
Esmail Mohebbi;Morton J. M. Posner
Affiliations:
Department of Industrial and Management Systems Engineering, University of Nebraska-Lincoln, 175, Nebraska Hall, Lincoln, NE 68588-0518, USA;Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ont., M5S 3G8 Canada
Venue:
Operations Research Letters
Year:
2002

Citing 2
Cited 2

Sole versus dual sourcing in stochastic lead-time (s,Q) inventory models

Management Science
An inventory system with multiple replenishment scheduling

Operations Research Letters

A hybrid method of Pareto, TOPSIS and genetic algorithm to optimize multi-product multi-constraint inventory control systems with random fuzzy replenishments

Mathematical and Computer Modelling: An International Journal
A hybrid method of fuzzy simulation and genetic algorithm to optimize constrained inventory control systems with stochastic replenishments and fuzzy demand

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

For a continuous-review inventory system with lost sales, non-unit-sized demand, multiple replenishment orders outstanding, and split deliveries, we derive the stationary distribution of the on-hand inventory using a level-crossing methodology. This distribution is then used to formulate an exact expression for the long-run average cost per unit time. Some numerical results are also presented.