JIT delivery with stochastic lead time

J. C. Hayya, R. V. Ramasesh, John Eugene Tyworth, J. G. Kim, D. Sun

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We examine the effect of stochastic lead times on Just-in-Time (JIT) delivery. We find that with stochastic lead times there is a possibility of order crossover, and what order crossover does is to transform the original lead times into effective lead times, which is an AR(1) process that is an autoregressive process of Order 1. The mean of this process is the same as the mean of the original lead time, but its variance could be much smaller. The implication is that when we consider order crossover in the analysis, the cost could be less than otherwise (but never less than that with deterministic lead times). The literature on JIT with stochastic lead times has never considered order crossover, which produces the effective delivery times (EDT). Here, we demonstrate some important properties of the EDT: that it is a Cauchy sequence, and hence it converges; that it is an AR(1) process; and that it stochastically dominates the parent lead time distribution.

Original languageEnglish (US)
Pages (from-to)97-105
Number of pages9
JournalJournal of the Operational Research Society
Issue number1
StatePublished - Jan 2013

All Science Journal Classification (ASJC) codes

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing


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