This paper considers the uncapacitated lot sizing problem with batch delivery, focusing on the general case of timedependent batch sizes. We study the complexity of the problem, depending on the other cost parameters, namely the setup cost, the fixed cost per batch, the unit procurement cost and the unit holding cost. We establish that if any one of the cost parameters is allowed to be time-dep...

Probabilistic model; Inventory; Varying order cost; Holding cost; Lead-time demand; Uniform distribution; Safety stock Abstract This paper discusses the probabilistic backorders inventory system when the order cost unit is a function of the order quantity. Our objective is to minimize the expected annual total cost under a restriction on the expected annual holding cost when the lead time deman...

In this paper a deterministic inventory model is developed when the deterioration is constant. Demand rate is a function of selling price and holding cost is taken as time dependent. The model is solved allowing shortage in inventory. The results are solved with the help of numerical example by using Mathematica 5.1. The sensitivity analysis of the solution has done with the changes of the valu...

This study develops an EPQ model for deteriorating items assuming time and stock dependent demand and time varying holding cost under the effect of inflation in fuzzy environment. Shortages are allowed and partially backlogged. In finding the optimal production quantity, deterioration plays a crucial role in inventory management. Therefore handling of deterioration is in highlight and attracted...

This paper proposes a differential equation inventory model that incorporates partial backlogging and deterioration. Holding cost and demand rate are time dependent. Shortages are allowed and assumed to be partially backlogged. Two versions are presented, the first one with deterministic values of the parameters and the second one taking into the account the interval uncertainty of the paramete...

bus systems are unstable without considering any control. thus, we are able to consider some control strategies to alleviate this problem. a holding control strategy is one commonly used real-time control strategy that can improve service quality. this paper develops a mathematical model for a holding control strategy. the objective of this model is to minimize the total cost related to passeng...