الفهرس 
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Abstract
Summary
of the M.Sc. Thesis Titled
Inventory Control Under Uncertainty
by
Abdel Rahman l\1ohamed Abdel Rahman Hassan
Investments in stock items present a major problem to management.
The problem becomes even clear in case of uncertainty environments.
Inventory control tec!miques especially those which, consider stochastic
behavior offer a tool for management to effectively plan theic inventory
activities.
This thesis presents a single item continuous review stochastic inventory
model ( r, Q). The model is structured and designed to account for eight
different mcertainty cases. Two policies are considered which are:
back orders are allowed and demand not covered from stock is lost
These two policies are incorporating two measures of service namely the
fraction of demand covered from stock and the average number of shortage
occurrences. The Laplace and Logistic distributions are used with the above
four cases.
These cases are mathematically formulated \vith the objective to minimize
the total sum of the ordering, the holding and the shortage costs subject to
some constrains. These models are nonlinear and Kulm~ Tucker conditions
are used to solve them.
A series of experimentations is carried out to test these models such as, the
total cost, the reorder point, the reorder quantityJind the service level.
Results indicate that the effect ofuncertain~t.v•. i ir. ’n.·ceab···le where the service
level is high. The total cost is high and the reo . [quantity is high,
The feasible range of quantities is narrow , ;~ service level is lowered
- ~. i
depending on the distribution adopted. The interrelationships of these
elements for the eight cases
total cost, the reorder point, the reorder quantityJind the service level.
Results indicate that the effect ofuncertain~t.v•. i ir. ’n.·ceab···le where the service
level is high. The total cost is high and the reo . [quantity is high,
The feasible range of quantities is narrow , ;~ service level is lowered
- ~. i
depending on the distribution adopted. The interrelationships of these
elements for the eight cases