An order level inventory model for seasonable/fashionable products subject to a period of increasing demand followed by a period of level demand and then by a period of decreasing demand rate three branches ramp type demand rate is considered. The unsatisfied demand is partially backlogged with a time dependent backlogging rate. In addition, the product deteriorates with a time dependent, namel...

We consider the production of multiple standardized products on a single machine with limited capacity and set-up times under random demands and random production times, i.e., the so-called stochastic economic lot scheduling problem (SELSP). The main task for the production manager in this setting is the construction of a production plan for the machine that minimizes the total costs, i.e., the...

In this study, a deterministic inventory model in which items are subject to constant deterioration and shortages are allowed. The unsatisfied demand is backlogged which is a function of time. The optimal order quantity is derived by minimizing the total cost. The numerical example is given to support the result. The convexity of the cost function is shown numerically. Sensitivity analysis is c...

Production emissions in the industrial sector are a major source of environmental pollution. In this paper, we explore how emission considerations integrated with production decisions. We develop dynamic model consisting two firms located same park, which satisfies exogenously given demands separate markets. The can build up or rundown stocks (full backlogging), both costly. cost depends on tot...

This paper develops a method for solving the single product multi-period production-planning problem, in which the production and the inventory costs of each period arc concave and backlogging is not permitted. It is also assumed that the unit variable cost of the production evolves according to a continuous time Markov process. We prove that this production-planning problem can be Stated as a ...

E-commerce is defined as the selling and purchasing of products, well transmission data or payments, through an electronic network. driven by internet, where customers can browse online store place orders for items services using their own devices. Online transactions are used e-commerce businesses to charge goods services. The rising number has increased payment frauds. Payment fraud refers an...

This paper introduces a new stochastic dynamic program (SDP) based heuristic to compute the (R,s,S) policy parameters for non-stationary lot-sizing problem with backlogging of excessive demand, fixed order and review costs, linear holding penalty costs. Our model combines greedy relaxation that considers replenishment cycles independent modified version Scarf’s (s,S) SDP. A simple implementatio...