Let's Connect
Follow Us
Watch Us
(+385) 1 2380 262
journal.prometfpz.unizg.hr
Promet - Traffic&Transportation journal

Accelerating Discoveries in Traffic Science

Accelerating Discoveries in Traffic Science

Application of Transforms in a Compound Demands Process

Authors:Ou Tang

Abstract

The compound distribution is of interest for the study of inventoryproblem, since it provides a more flexible description ofthe stochastic properties of the system compared to many otherapproaches such as renewal processes. However, due to the difficultiesof obtaining analytical results for the compound distribution,such a type of study is usually limited to searching for agood approximation for replacing the complex model. This paperinvestigates the possibility to extend a previous stochastic inventorymodel to cover a compound demand process. Transformmethods again play an imp01tant role in the analysis forcapturing the stochastic prope1ties of the compound distribution.

Keywords:inventory logistics, compound demand, Input-Output analysis

References

  1. J Archibald, B. C. and Silver, E. A. (1978), (s, S) Policies

    under Continuous Review and Discrete compound Poisson Demand, Management Science, Vol. 24, No 9, pp.

    -909.

    Carlson, P.G. (1982),AnA/temative Model for Lead- Time

    Demand: Continuous-Review Jnvent01y System, Decision

    Sciences, Vol. 13, pp. 120-128.

    Eppen, G.D. and Martin R. K. (1998), Detennining

    Safety Stock in the Presence of Stochastic Lead Time and

    Demand, Management Science, vol. 34, No. 11, pp.

    -1390.

    Keaton, M. (1995), Using the Gamma Distribution to

    Model Demand when Lead Time is Random, Journal of

    Business Logistics, Vol. 16, No 1, pp. 107-131

    Kottas, J. F. and Lau, H.-S. (1979), A Realistic Approach

    for Modelling Stochastic Lead time Distribution,

    AilE Transactions, Vol. 11, No 1, pp. 54-60

    } Lau, H.-S. (1989), Toward an Invent01y Control Syscem

    under Non-Normal Demand and Lead-Time Uncertainty,

    Journal of Business Logistics, Vol. 10, No 1, pp.

    -103.

    Tyworth, J. E. (1992), Modelling Transportation-InventOiy

    Trade-Offs in a Stochastic Setting, Journal of Business

    Logistics, Vol. 13, No 2, pp. 97-124

    Thompstone, R. M. and Silver, E. A. (1975),A Coordinated

    JnventOJy Control System for Compound Poisson

    Demand and Zero Lead Time, International Journal of

    Production Research, Vol. 13, No.6, pp. 581-602

    Wa1·d, J. B. (1978), Determining Reorder Points when

    Demand is Lumpy, Management Science, Vol. 24, No 6,

    pp. 623-632

    Song, J.-S. (1994), The Effect of Leadtime Uncertainty in

    a Simple Stochastic Jnvent01y Model, Management Science,

    Vol. 40, No 5, pp. 603-613

    (11] Srinivasan, M. M. and Lee, H.-S. (1991), Random Review

    Production/Inventory Systems with Compound

    Poisson Demands and Arbitrary Process time, Management

    Science, Vol. 37, No 7, pp. 813-833

    Bagchi, U., Hayya, J. C. and Ord, J. K. (1984), Modelling

    Demand During Lead Time, Decision Sciences, Vol.

    , pp. 157-176

    (13] Bagchi, U., Hayya, J. C. and Ord, J. K. (1983), The

    Hermite Distribution as a Model of Demand During Lead

    Time for Slow Moving Items, Decision Sciences, Vol. 14,

    pp. 447-466

    (14] Andersson, L. E. and Grubbstiim, R. W. (1994),Asymptotic

    Behaviour of a Stochastic Multi-Period Inventory

    Process with Planned Production, Working Paper

    WP-210, Department of Production Economics, Linkoping

    Institute of Technology

    Grubbstri:im, R. W. (1996), Stochastic Properties of a

    Production-Inventory Process with Planned Production

    Using Transfom7. Methodology, International Journal of

    Production Economics, Vol. 45, pp. 407-419

    (16) Grubbstri:im, R. W. and Molinder, A (1996), Safety

    Stock Plans in MRP-System.s Using Transform Metlwdology,

    International Journal of Production Economics,

    Vol. 46-47, pp. 297-309

    Grubbstri:im, R. W. (1998), A Net Present Value Approach

    to Safety Stocks in Planned Production, International

    Joumal of Production Economics, Vol. 56-57,

    pp. 213-229

Show more


Accelerating Discoveries in Traffic Science |
2024 © Promet - Traffic&Transportation journal