Multi-item inventory model for deteriorating items with stock dependent
demand under two-warehouse system is developed in fuzzy environment
(purchase cost, investment amount and storehouse capacity are imprecise )
under inflation and time value of money. For display and storage, the
retailers hire one warehouse of finite capacity at market place, treated as
their own warehouse (OW), and another warehouse of imprecise capacity which
may be required at some place distant from the market, treated as a rented
warehouse (RW). Joint replenishment and simultaneous transfer of items from
one warehouse to another is proposed using basic period (BP) policy. As some
parameters are fuzzy in nature, objective (average profit) functions as well
as some constraints are imprecise in nature, too. The model is formulated so
to optimize the possibility/necessity measure of the fuzzy goal of the
objective functions, and the constraints satisfy some pre-defined necessity.
A genetic algorithm (GA) is used to solve the model, which is illustrated on
a numerical example.