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Two Commodity Coordinated Inventory System With Markovian Demand

Author

Listed:
  • V. S. S. YADAVALLI

    (Department of Industrial and Systems Engineering, University of Pretoria, 0002 Pretoria, South Africa)

  • G. ARIVARIGNAN

    (Department of Applied Mathematics and Statistics, Madurai Kamaraj University, Madurai, India)

  • N. ANBAZHAGAN

    (Department of Mathematics, Thiagarajar College of Engineering, Madurai, India)

Abstract

This paper considers a two commodity continuous review inventory system. The demand points for each commodity are assumed to form Poisson processes. It is further assumed that the demand for the first commodity require the one unit of second commodity in addition to the first commodity with probabilityp1. Similarly, the demand for the second commodity require the one unit of first commodity in addition to the second commodity with probabilityp2. This assumption model the situation in which a buyer who intends to buy one particular commodity may also go for another commodity. The limiting probability distribution for the joint inventory levels is computed. Various operational characteristics, expression for the long run total expected cost rate is derived. The results are illustrated with numerical examples.

Suggested Citation

  • V. S. S. Yadavalli & G. Arivarignan & N. Anbazhagan, 2006. "Two Commodity Coordinated Inventory System With Markovian Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 497-508.
    • Handle: RePEc:wsi:apjorx:v:23:y:2006:i:04:n:s0217595906001005
    DOI: 10.1142/S0217595906001005
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    Cited by:

    1. Shib Sana & Suresh Goyal, 2015. "$$(Q,r,L)$$ ( Q , r , L ) model for stochastic demand with lead-time dependent partial backlogging," Annals of Operations Research, Springer, vol. 233(1), pages 401-410, October.
    2. Serife Ozkar & Umay Uzunoglu Kocer, 2021. "Two-commodity queueing-inventory system with two classes of customers," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 234-256, March.

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