We study an inventory-routing problem in which multiperiod inventory holding, backlogging, and vehicle routing decisions are to be taken for a set of customers who receive units of a single item from a depot with infinite supply. We consider a case in which the demand at each customer is deterministic and relatively small compared to the vehicle capacity, and the customers are located closely s...

This paper investigates a production inventory model under classical EPQ framework with the assumption that customer demand during stock-out period is affected by accumulated back-orders. The backlog rate not fixed; instead, assumed to decrease proportionally existing which thereby approximated piecewise constant function. Deteriorating items are taken into consideration in this work. For bette...

This paper analyzes cost sharing in uncapacitated lot-sizing models with backlogging and heterogeneous costs. It is assumed that several firms participate a consortium aiming at satisfying their demand over the planning horizon minimal operating cost. Each individual firm has its own ordering channel holding technology, but cooperation other consists information. Therefore, cooperate can use be...

This paper addresses the optimization of the continuous-flow model of a single-stage single-product manufacturing system with constant demand and transportation delay from the machine to the inventory. The machine is subject to either time-dependent or operation-dependent failures. The production is controlled by a hedging point policy. The goal is to determine the optimal hedging point, which ...

This paper presents an algorithm to compute an optimal (s, S) policy under standard assumptions (stationary data, well-behaved one-period costs, discrete demand, full backlogging, and the average-cost criterion). The method is iterative, starting with an arbitrary, given (s, S) policy and converging to an optimal policy in a finite number of iterations. Any of the available approximations can t...

We consider a multi-item lot-sizing problem with joint set-up costs and constant capacities. Apart from the usual per unit production and storage costs for each item, a set-up cost is incurred for each batch of production, where a batch consists of up toC units of anymix of the items. In addition, an upper bound on the number of batches may be imposed. Under widely applicable conditions on the ...