An Economic Lot-sizing(ELS) problem with perishable inventory has been studied extensively over the years and plays a fundamental role in the inventory management. In this paper, we consider the problem where backlogging is allowed with the general economies of scale cost functions. Since the special case without backlogging is NP-hard, the considered problem is also NP-hard. The main contribut...

This paper deals with an optimal replenishment policy for deteriorating items with multi-variate demand and partial backlogging. The proposed model allows for (1) multivariate demand replenishment cycles, (2) partial backlogging, and (3) time-varying shortage intervals. Consequently, the proposed model is in a general framework for that inventory models includes these above assumptions. We show...

This paper deals with two warehouse inventory model of determining the optimal replenishment policy for non-instantaneous deteriorating items partial backlogging and stock-dependent demand. In the model, shortages are allowed and the backlogging rate is variable and dependent on the waiting time for the next replenishment. The necessary and sufficient conditions of the existence and uniqueness ...

Long run average costs for finite production rate model with backlogging is less than or equal to that of the same model without backlogging. An equation for calculating intangible backorder cost is proposed for situation when required service level is not attainable. By incorporating this intangible backorder cost in mathematical analysis, one can derive a new optimal lot-size policy that mini...

we present an improved implementation of the wagner-whitin algorithm for economic lot-sizing problems based on the planning-horizon theorem and the economic- part-period concept. the proposed method of this paper reduces the burden of the computations significantly in two different cases. we first assume there is no backlogging and inventory holding and set-up costs are fixed. the second model ...

we developed an inventory model for decaying items with selling price dependent demand in inflationary environment. deterioration rate is taken as two parameter weibull distribution. shortages in inventory are allowed with partial backlogging. backlogging rate is taken as exponential decreasing function of time. profit maximization technique is used in this study.

We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.

An EOQ (Economic Order Quantity) model for a deteriorating item with quadratic demand pattern and quadratic holding cost and constant deterioration rate is considered in this paper. In addition, shortages and partial backlogging are allowed. It is assumed that the backlogging rate acts as not only a variable, but also depends on the length of the waiting time up to next replenishment during the...

In this paper, we will consider a concave-cost series production and inventory system with deterministic demands in which (i) backlogging at the final facility and/or (ii) demands at an intermediate facility is allowed_ A dynamic programming algorithm for (i) will be developed, which is a direct extension of the results obtained by W. Zangwill [3], [4] for a similar system but without backloggi...

An explicit description of the convex hull of solutions to the uncapacitated lot-sizing problem with backlogging, in its natural space of production, setup, inventory and backlogging variables, has been an open question for many years. In this paper, we identify valid inequalities that subsume all previously known valid inequalities for this problem. We show that these inequalities are enough t...