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Stochastic leadtimes in two‐level distribution‐type networks

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  • Candace Arai Yano

Abstract

Leadtime uncertainty occurs in both manufacturing and distribution systems and can cause difficult coordination problems. We analyze a simple three‐location, two‐level distribution‐type system with stochastic leadtimes with the objective of determining planned leadtimes which minimize the sum of expected inventory‐holding and tardiness costs. In a manufacturing context, the system can be viewed as one in which common processing or procurement is done first, whereupon another manufacturing stage differentiates this common product. Within a distribution framework, the system is one in which material is transported to a central facility (such as a regional warehouse) and subsequently transported to smaller local distributors or retailers. We investigate two heuristic policies which are simple adjustments to optimal solutions for serial systems resulting from a decoupling of the distribution network. We also report computational experience which indicates that the optimal “location” and quantity of safety time depends largely upon the relationship among the due dates and average leadtimes for the final stages of processing or delivery.

Suggested Citation

  • Candace Arai Yano, 1987. "Stochastic leadtimes in two‐level distribution‐type networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 831-843, December.
  • Handle: RePEc:wly:navres:v:34:y:1987:i:6:p:831-843
    DOI: 10.1002/1520-6750(198712)34:63.0.CO;2-N
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    References listed on IDEAS

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    1. Sankaran Lakshminarayan & Ram Lakshmanan & Robert L. Papineau & Rene Rochette, 1978. "Technical Note—Optimal Single-Machine Scheduling with Earliness and Tardiness Penalties," Operations Research, INFORMS, vol. 26(6), pages 1079-1082, December.
    2. Candace Arai Yano, 1987. "Setting Planned Leadtimes in Serial Production Systems with Tardiness Costs," Management Science, INFORMS, vol. 33(1), pages 95-106, January.
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