Given the complexities introduced by supply disruptions,only a
few papers have considered stochastic demand,as well. Gupta
(1996) formulates a(Q, R)-type model with Poisson demand and
exponential wet and dry periods. Parlar(1997) studies a similar
but more general model than Gupta—for example,allowing for
stochastic lead times—but formulates an approximate cost func-
tion. Mohebbi (2003,2004) extends Gupta's model to consider
compound Poisson demand and stochastic lead times;he derives
expressions for the inventory level distribution and expected cost,
both of which must be evaluated numerically except in the special
case in which demand sizes are exponentially distributed. Chao
(1987) and Chao et al.(1989) consider stochastic demand for
electric utilities with market disruptions and solve the problem
using stochastic dynamic programming. Silbermayr and Minner
(2014) consider a multiple-sourcing model with disruptions and
Poisson demand. Zhu (2013) considers the pricing problem in
addition to the production and replenishment problems under
random demand and disruptions.
Periodic-review inventory models with supply disruptions have
received somewhat less attention in the literature than their
continuous-review counterparts. Arreola-Risa andDeCroix(1998)
develop exact expressions for(s, S) models with supplier disruptions
but use numerical optimization since analytical solutions cannot be
obtained. Song and Zipkin(1996) present a model in which the
availability of the supplier,while random,is partially known to the
decision maker.They prove that a state-dependent base-stock
policy is optimal(for linear order costs)and solve the model using
dynamic programming. Tomlin(2006) explores a range of strategies
Given the complexities introduced by supply disruptions,only a
few papers have considered stochastic demand,as well. Gupta
(1996) formulates a(Q, R)-type model with Poisson demand and
exponential wet and dry periods. Parlar(1997) studies a similar
but more general model than Gupta—for example,allowing for
stochastic lead times—but formulates an approximate cost func-
tion. Mohebbi (2003,2004) extends Gupta's model to consider
compound Poisson demand and stochastic lead times;he derives
expressions for the inventory level distribution and expected cost,
both of which must be evaluated numerically except in the special
case in which demand sizes are exponentially distributed. Chao
(1987) and Chao et al.(1989) consider stochastic demand for
electric utilities with market disruptions and solve the problem
using stochastic dynamic programming. Silbermayr and Minner
(2014) consider a multiple-sourcing model with disruptions and
Poisson demand. Zhu (2013) considers the pricing problem in
addition to the production and replenishment problems under
random demand and disruptions.
Periodic-review inventory models with supply disruptions have
received somewhat less attention in the literature than their
continuous-review counterparts. Arreola-Risa andDeCroix(1998)
develop exact expressions for(s, S) models with supplier disruptions
but use numerical optimization since analytical solutions cannot be
obtained. Song and Zipkin(1996) present a model in which the
availability of the supplier,while random,is partially known to the
decision maker.They prove that a state-dependent base-stock
policy is optimal(for linear order costs)and solve the model using
dynamic programming. Tomlin(2006) explores a range of strategies
การแปล กรุณารอสักครู่..
